Julie and Kristen are the partners in a local sporting goods shop They needed $51,000 to start the business. They invested in the ratio 5:12, respectively.

a. How much money did each invest?

b. What percent of the business was owned by Kristin? Round to the nearest tenth of a percent

The F-distribution is used to test the significance of the population coefficient of determination (option D).

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.

To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.

The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.

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There are 7 meters in 279 inches.

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Answer:

A. the number of degrees that the temperature changed

Because to answer the question, "How much did the patient's temperature rise between 9:54 and 10:41?" you need to know how much is changed.

Step-by-step explanation:

(1/12)^-2b x 12^-2b+2=12

12^-(-2b) x 12^-2b+2=12

12^2b+(-2b+12)=12

2b-2b+12=12

=1

Answer:

35

Step-by-step explanation:

3 + 2 = 5

7 times 5 = 35

Answer:

16 cms if each side is 4. cc

Therefore, the slope of a line perpendicular to the given line is -1/2.

The given equation of the line is y = (4x + 3) / 2.

To find the slope of a line perpendicular to this line, we need to determine the negative reciprocal of the slope of the given line.

The slope-intercept form of a line is y = mx + b, where m represents the slope of the line.

Comparing the given equation y = (4x + 3) / 2 with the slope-intercept form, we can see that the slope of the given line is 4/2, which simplifies to 2.

The negative reciprocal of 2 is -1/2.

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The drain current of a device affects its input impedance.

When using a high input impedance, the drain current also tends to be high. Conversely, a low input impedance leads to a low drain current. In the context of a FET amplifier circuit, the input impedance plays a crucial role in determining the circuit's overall gain and stability. It is defined as the ratio of the voltage across the input port to the current flowing through it. Typically, the input impedance of an amplifier circuit is designed to be very high. This design choice offers several benefits such as reduced susceptibility to external noise and the ability to provide a stable input signal, resulting in a high gain. To demonstrate the effect of input impedance on drain current, we can use standard component values and calculated bias points. Considering the given values for components (R1, R2, RD, RS) and voltage values (VDD, VP), the calculated IDQ is 2.65 mA. The resulting input impedance is 4.62 kohms, which is higher than the combined resistance of R1 and R2 in series.

Therefore, we can summarize that the input impedance is high.

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96th term of the arithmetic sequence 1, -12, -25, ...1,−12,−25  is -1234

arithmetic sequence 1, -12, -25, .. .1,−12,−25

an arithmetic sequence can be written as

a , a + d , a + 2d , a + 3d , . . . . . a + (n-1)d

nth tern of an arithmetic sequence is

aₙ= a+ (n-1)d

a= first term of an arithmetic sequence

d = common difference of an arithmetic sequence

n = number of terms in an arithmetic sequence

So in the above arithmetic sequence

a= 1

d= -13

n= 96

a₉₆= 1+ (96-1)(-13)

    =  1- (95)13

    =  1- 1235

    = -1234

96th term of the arithmetic sequence 1, -12, -25, ...1,−12,−25  is -1234

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At 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.

What is aircraft?

A vehicle that can fly is known as an aircraft. It does so by getting help from the air. It does this by either employing static lift, the dynamic lift of an airfoil or, in a few rare instances, the downward push from jet engines. Aerial vehicles include, but are not limited to, planes, helicopters, airships (including blimps), gliders, paramotors, and hot air balloons.

As given, your aircraft was cleared for the ils rwy 18 at Lincoln municipal and crossed the Lincoln Vortac at 5,000 feet MSL.

Therefore, at 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.

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Answer:

x=52

Step-by-step explanation:

x=30+22

x=52

Answer:

Move all terms not containing  

X

to the right side of the equation.

X = 52

The relationship between length and weight can be modeled by a power function.

The fact that the scatterplot of the natural logarithm of weight vs. the natural logarithm of length shows a more linear relationship suggests that the relationship between length and weight can be better modeled by a power function rather than an exponential function. This is because when the logarithms of both variables are taken, an exponential function becomes a linear function, while a power function remains a non-linear function.

In a power function, one variable is raised to a power that is not necessarily an integer, whereas in an exponential function, one variable is raised to a constant power. Therefore, it is more likely that the relationship between length and weight can be modeled by a power function.

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The evaluation of the expression is 2, if the expression is x - y + z(x + w).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that x = 1, y = 1, w = 1, and z = 1

We have been given expression

⇒ x - y + z(x + w)

Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,

⇒ 1 - 1 + 1(1 + 1)

⇒ 0 + 1(2)

⇒ 2

Hence, the evaluation of the expression is 2.

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Your question is incomplete, probably the missing part is:

Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?

Answer:

80 pennies make 8 dimes

Step-by-step explanation:

10 pennies make a dime

10p=1d

Plug in 8 to each side

(10x8)=(1x8)

p         d

80=8d

\( \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 893(1 + \frac{41}{500} ) ^{1 \times 5} - 893 \\ \sf= 893 \times ( \frac{541}{500} ) ^{5} - 893 \\ \sf= 1324.30 - 893 \\ \sf = 431.30\)

Answer:

$431.30(approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

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Answer:

.4

Step-by-step explanation:

2.80/7=.4

7 x 0.4 = 2.8

Answer:

15x+28

Step-by-step explanation:

15x+10+18

15x+28

Answer:

D: (x^2 + 3x + 9) (x^2 - 3x + 9)

-

G: (x^2 + 3x + 5) (x^2 - 3x + 5)

Answer:

\(d) \: \: ( {x}^{2} + 3x + 9)( {x}^{2} - 3x + 9)\)

\(g) \: \: ( {x}^{2} + 2x + 5)( {x}^{2} - 2x + 5)\)

Step-by-step explanation:

Hope it is helpful....

Answer:

4+4+4+12+5+5=34

Step-by-step explanation:

Answer:

in my opinion which maybe 34cm

Step-by-step explanation:

4 + 4 + 4 + 5 + 5 + 12 cm equals to 34 CM

Answer: 16

Step-by-step explanation:

Answer:

16 assuming the cube is six sided and is fair, the probability of rolling a 5 is 16 because there is an equal chance of rolling a one or two or three or four of five and a six so the probability of each one is divided by the total number of options.

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!!

The simplest form of the fraction is 5/9.0.56 recurring as a fraction in its simplest form is 5/9. A recurring decimal number is a decimal number that repeats indefinitely. There is a specific method to convert a recurring decimal number into a fraction. The method is quite simple, and you can follow the steps mentioned below to convert the decimal into a fraction. Steps:

Step 1: Write the given recurring decimal number.

Step 2: Subtract the given number from the same number with all the digits shifted one place to the left, such that the recurring part is directly to the right of the decimal point.

Step 3: Solve the equation formed by step 2. This equation will have only one variable.Step 4: Solve for the variable, which will give you the value of the fraction.  

Example: Let's apply these steps to the given decimal number, 0.56 recurring. Step 1: Write the given number, 0.56 recurring.

Step 2: Subtract the given number from the same number with all the digits shifted one place to the left.   0.56 recurring - 0.05 recurring = 0.51  

Step 3: Solve the equation formed by step 2. 100(0.56 recurring - 0.05 recurring) = 100(0.51) 51.56 recurring - 5.56 recurring = 51

Step 4: Solve for the variable, which will give you the value of the fraction.

Dividing both sides of the equation by 94, we get,  51/94 = 0.56 recurring. Therefore, the simplest form of the fraction is 5/9.

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a) Yes, the function is continuous at x = 3. And justification: The function satisfies the three-condition definition of continuity at x = 3.

a) Yes, the function is continuous at x = 3.

b) Justification: To determine if a function is continuous at a specific point, we need to check three conditions: the existence of the limit at that point, the existence of the function at that point, and the equality between the limit and the function value at that point.

In this case, the function f(x) = 5x - 11 is defined for all real numbers. Taking the limit as x approaches 3 from both sides, we get lim f(x) as x approaches 3 from the left = lim (-2x + 10) as x approaches 3 from the right = -1. Evaluating the function at x = 3, we get f(3) = -6.

Since the limit and the function value at x = 3 are equal (-1 = -6), the three-condition definition of continuity is satisfied, and we conclude that the function is continuous at x = 3.

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The cost of one taco is $3.75.

We are given cost of salad, the sales tax and tip along with total expenditure. We already know, that sales tax is calculated on the cost of items. Hence, forming the equation accordingly. Let us assumed the cost of one taco be $x. So, the cost of two tacos will be $2x.

The equation will be -

2x + 2.50 + (2x + 2.50)×(6÷100) + 3 = 13.60

2x + 2.50 + (2x + 2.50)×0.06 + 3 = 13.60

Now, solving this equation to find the value of x and hence the cost of one taco.

2x + 2.50 + 0.12x + 0.15 + 3 = 13.60

Performing addition on Left Hand Side

2.12x + 5.65 = 13.60

Shifting 0.18 to Right Hand Side and performing subtraction

2.12x = 13.60 - 5.65

2.12x = 7.95

x = 7.95÷2.12

Performing division

x = 3.75

Thus, the cost of one taco is $3.75.

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Answer:

Yes he is

Step-by-step explanation:

Answer:

Yes! he is

Step-by-step explanation:

:)

The angle of intersection, θ, is approximately 38°.

The curves r₁ = ⟨t, 4 − t, 5 + t²⟩ and

                       r₂ = ⟨5 − s, s − 1, s²⟩ intersect

when t = 3 and s = 2.To determine the angle of intersection,

we will have to find the tangent vectors to the two curves at their point of intersection.

The tangent vector to r₁ at t = 3 is: r'₁ = ⟨1, -1, 6⟩

The tangent vector to r₂ at s = 2 is:r'₂ = ⟨-1, 1, 4⟩

The angle between the two vectors is given by:

                                   cosθ = (r'₁ · r'₂) / (|r'₁| |r'₂|)

                                 cosθ = ((1)(-1) + (-1)(1) + (6)(4)) / (√(1² + (-1)² + 6²) √((-1)² + 1² + 4²))

                            cosθ = 19 / (√38 √18)

                               cosθ ≈ 0.7987θ ≈ 37.6°

Therefore, the angle of intersection, θ, is approximately 38°.

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Answer:

b. -8

Step-by-step explanation:

Solution Given:

Equation is:

y=8-2x

if x=8

Substitute value of x in above equation

y=8-2*8

y=8-16

y=-7

Answer:

-8

Step-by-step explanation:

This question is asking us what y is equal to when x equals 8. To determine this, we can plug 8 into the equation for x and solve for y. So, let's do just that!

y = 8 - 2x     [ Plug in 8 for x ]

y = 8 - 2(8)     [ Simplify ]

y = 8 - 16     [ Solve ]

y = -8

So, when x=8, y=-8. Attached is an image of the function graphed that also shows that when x=8, y=-8.

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Have a GREAT day!!!

Simplest form of expression (x − 3)(x² + 4x -5) is x³ + x² - 17x + 15

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are: constant, variable and coefficient.

Given expression,

(x − 3)(x² + 4x -5)

Distribute

x(x² + 4x -5) - 3(x² + 4x -5)

Distribute

x³ + 4x² - 5x - 3x² - 12x +15

Adding and subtracting like terms

x³ + x² - 17x + 15

Hence, x³ + x² - 17x + 15 is the simplest form of given expression.

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The value for x is 7π/6 and 11π/6.

sin2xsecx+2cosx=0

(2sinxcosx)(1/cosx)+2cosx=0

sinxcosx/cosx+2cosx=0

So,

2sinx+2cosx=0

2(sinx+cosx)=0

(2(sinx+cosx))²=0

4(sin²x+cos²x+2sinxcosx)=0

hence,

(sin²x+cos²x+2sinxcosx)/4=0/4

sin2x+cos2x+2sinxcosx=0

1+sin2x=0

sinx=−1/2

=7π/6 and 11π/6

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This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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