The points (–4, –5) and (–3, g) fall on a line with a slope of 9. What is the value of g?

Answer:

the office

Step-by-step explanation:

The theoretical probability of landing on blue if we add another section to a spinner with five sections will be 1/6.

In the first paragraph, the summary states the answer, which is the theoretical probability of landing on blue if we add another section. The theoretical probability is the likelihood of an event occurring based on mathematical calculations and assumptions.

In the second paragraph, the explanation provides reasoning for the answer. Adding another section increases the total number of sections to six. Since the new section is blue, there will now be two blue sections out of six. Therefore, the probability of landing on blue is 2/6, which can be simplified to 1/3 or approximately 0.1667.

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Solution:

Given the figure;

Then;

CORRECT ANSWER: Corresponding Angles Theorem

Answer:

Step-by-step explanation:

To determine which offer is the better value, we can calculate the cost per shirt for each option.

For the first option, $84 for six shirts, the cost per shirt is:

$84 ÷ 6 = $14 per shirt

For the second option, $75 for five shirts, the cost per shirt is:

$75 ÷ 5 = $15 per shirt

Therefore, the first option of $84 for six shirts is the better value as it has a lower cost per shirt compared to the second option of $75 for five shirts. You would save $6 by choosing the first option.

Answer:

5y^2(4y^4 - 3y^2 +8

Step-by-step explanation:

20y^6 - 15y^4 + 40y^2

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:

x = - 1, y = 2

Step-by-step explanation:

Given the 2 equations

6x + 5y = 4 → (1)

19x + 2y = - 15 → (2)

Multiplying (1) by 2 and (2) by - 5 and adding will eliminate the term in y

12x + 10y = 8 → (3)

- 95x - 10y = 75 → (4)

Add (3) and (4) term by term thus eliminating y

- 83x = 83 ( divide both sides by - 83 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting into (1)

6(- 1) + 5y = 4

- 6 + 5y = 4 ( add 6 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2

The correct choice is: OA. The solution set is {π/4}. To summarize, the correct choice is: OA. The solution set is {π/4}.

To solve the equation 3cot(x) + 4 = 7 over the interval [0, 2x), we'll first isolate the cotangent term and then find the values of x that satisfy the equation.

Let's start by subtracting 4 from both sides of the equation:

3cot(x) = 7 - 4

3cot(x) = 3

Now, divide both sides of the equation by 3:

cot(x) = 1

The cotangent function is the reciprocal of the tangent function, so cot(x) = 1 is equivalent to tan(x) = 1.

Now, we need to find the values of x in the interval [0, 2x) that satisfy tan(x) = 1.

The tangent function is positive in the first and third quadrants. In the first quadrant, the tangent function is equal to 1 at π/4 radians. In the third quadrant, it is also equal to 1 at 5π/4 radians.

Since we are looking for solutions in the interval [0, 2x), we can consider the solution π/4.

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The difference in perimeters between the two squares is 2 inches.

Here, we have,

To find the difference in perimeters between two squares, we subtract the perimeter of the smaller square from the perimeter of the larger square.

Let's denote the side length of the larger square as S = 3/4 inch and the side length of the smaller square as s = 1/4 inch.

The perimeter of a square is given by the formula: P=4s, where s is the side length.

For the larger square with side length S = 3/4 inch, the perimeter P is:

P = 4 × 3/4

 =3 inches

For the smaller square with side length s = 1/4 inch, the perimeter p is:

p = 4 × 1/4  =1 inch

The difference in perimeters is then:

Difference = P - p

so, we get,

Difference

=P - p

=3−1

=2 inches

Therefore, the difference in perimeters between the two squares is 2 inches.

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If the number of flu patients at the school is modelled by the equation \(F=10e^{0. 12d}\) , then the number of days that it will take for the number of patients to reach 50 is 13 days .

The Exponential Growth equation is given as : \(F=10e^{0. 12d}\) ;

We have to find How many days will it take for the number of new flu patients to equal 50 .

So , we substitute the value \(F=50\) in the model equation ;

we get ;

⇒ \(50 = 10e^{0. 12d}\) ;

dividing both side by 10 ,

we have ;

⇒ \(5=e^{0. 12d}\) ;

taking \(\ln\) on both sides ,

⇒ \(\ln 5 = 0.12d(\ln e)\)   ,....we know that \(\ln e = 1\) ;

⇒\(d= \frac{\ln 5}{0.12}\) ⇒ 13.41198 ;

≈ 13 days .

Therefore , it will take 13 days for the number of patients to reach 50 .

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Answer:

1/2

Step-by-step explanation:

to solve this equation you must find the greatest common factor or gcf to make the denominators the same

that happens to be 6

so

-4 5/6 + 5 2/6

then you add

you can break them up at add them like this

(-4 + 5) + (-5/6 + 2/6)

1 + -3/6

-3/6 is also -1/2

1 + -1/2

1/2

that is your answer

When comparing two sample means, we can safely reject the null hypothesis if the calculated test statistic exceeds the critical value corresponding to the chosen significance level.

In hypothesis testing, when comparing two sample means, we typically perform a t-test or z-test depending on the characteristics of the data and assumptions. The null hypothesis assumes that there is no significant difference between the means of the two samples.

To determine whether we can reject the null hypothesis and conclude that there is a significant difference, we calculate a test statistic. The specific test statistic (t or z) depends on factors such as sample size and whether population parameters are known.

Next, we compare the calculated test statistic to the critical value. The critical value is determined based on the chosen significance level (commonly denoted as α). If the calculated test statistic exceeds the critical value, we reject the null hypothesis, indicating that there is evidence to support a significant difference between the two sample means.

The significance level determines the threshold for rejecting the null hypothesis and is typically set at 0.05 (5%) or lower, depending on the desired level of confidence.

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Answer:

Pattern 8 would have 64 squares.

Step-by-step explanation:

Ok, I understand, Pattern 4 would have 16 squares, so we have to continue adding the pattern.

5 = 25, 6 = 36, 7 = 49, and 8 = 64. The key to this is each pattern number is multiplied BY ITSELF.

Hope this helps!

Sorry for being a little rude previous question, I didn't have a reference.

The slope of the line given by the equation 3y - 4 = (1/2)x is 1/6.

The equation of the line is 3y - 4 = (1/2)x. To find the slope, we need to rewrite the equation in slope-intercept form, y = mx + b, where m represents the slope.

Let's start by isolating the y-term.

Add 4 to both sides of the equation: 3y = (1/2)x + 4.

Next, divide both sides by 3: y = (1/6)x + 4/3.

Comparing this equation to y = mx + b, we can see that the coefficient of x, which is (1/6), represents the slope.

Therefore, the slope of the line is 1/6.

We used algebraic manipulations to transform the given equation into slope-intercept form, where we can easily identify the slope.

By isolating the y-term and rearranging the equation, we determined that the coefficient of x represents the slope.

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Answer:

hi

Step-by-step explanation:

hi

hi

hi

Answer:

the question is 4.

Step-by-step explanation:

I just did it on a piece of paper

A) Graph of the function f(x) = -23x^(-3):

To graph the function f(x) = -23x^(-3), we can plot some points and connect them to get a smooth curve. Here are a few points:

x = -2: f(-2) = -23/(-2)^3 = -23/(-8) = 23/8 ≈ 2.88

x = -1: f(-1) = -23/(-1)^3 = -23/(-1) = 23

x = -0.5: f(-0.5) = -23/(-0.5)^3 = -23/(-0.125) = 184

x = 0: f(0) is undefined

Based on these points, we can see that the graph of f(x) = -23x^(-3) will approach negative infinity as x approaches 0 from the left and will approach positive infinity as x approaches 0 from the right.

B) Evaluation of the integral ∫(-4 to 2)(-23x^(-3))dx using three methods:

i) Riemann sum:

We can evaluate the integral using the Riemann sum approximation. Let's divide the interval [-4, 2] into n subintervals of equal width:

Δx = (2 - (-4)) / n = 6 / n

Then the Riemann sum is given by:

Σi=1 to nΔx

where x_i is a sample point in each subinterval.

ii) Anti-derivative:

To find the anti-derivative of f(x) = -23x^(-3), we can use the power rule for integration. The anti-derivative of x^n is (1/(n+1))x^(n+1).

The anti-derivative of f(x) = -23x^(-3) is:

F(x) = (1 / (-3 + 1))(-23)(x^(-3 + 1)) = (-23/(-2))(x^(-2)) = (23/2)(x^(-2))

We can then evaluate the definite integral using the Fundamental Theorem of Calculus:

∫(-4 to 2)(-23x^(-3))dx = F(2) - F(-4)

iii) Geometric interpretation:

The integral can be interpreted as the area under the curve of f(x) = -23x^(-3) between x = -4 and x = 2. We can approximate this area by dividing it into small rectangles and summing their areas.

We can approximate the integral using geometric shapes such as rectangles or trapezoids and taking the limit as the width of the rectangles approaches zero.

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The correct answer is Yes, a to the 12th power times a to the fourth power = a to the eighth power times a to the eighth power or a¹² x a⁴ = a⁸ x a⁸.

The first rule of multiplying exponents notes that when you are multiplying exponents with the same base, you can simply add the exponents in question.

This means that the product of:

a¹² x a⁴ = a ¹² ⁺ ⁴

= a¹⁶

The product of:

a⁸ x a⁸ = a⁸ ⁺ ⁸

= a¹⁶'

This shows that  a¹² x a⁴ = a⁸ x a⁸ or a to the 12th power times a to the fourth power = a to the eighth power times a to the eighth power.

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The absolute value inequality is given by:

|x| <= 7

The absolute value function is defined by:

The absolute value function measures the distance of a point x to the origin, that is, the distance to x = 0.

Looking at the graph, it comprehends points that are at a distance of at most 7 units to the origin, hence the absolute value inequality is given by:

|x| <= 7

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Answer: 7458 grams

find 12% of 8,475 which is 8475*0.12=1017

this just subtract that from 8475 which is 7458

The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer:

The perimeter is 16 units.

Step-by-step explanation:

Once you graph all the sides you can easily count and see the perimeter is 16. :)

Answer:

Already answered https://brainly.com/question/369421

Step-by-step explanation:

Answer:

y = -2x - 15

Step-by-step explanation:

We are given 2 pieces of information: (1) a point our line passes through, and (2) a line it is perpendicular to. The only thing we need from (2) is the slope.

We know that perpendicular lines have opposite signs and are inverses (denominator and numerator switched). So our line must have a slope of

m = -2

Using our equation for a line: y = mx+b, our line so far is

(I) y = -2x + b

Let's use the point we have (-9,3) and substitute what we know into equation (I) to find b.

x = -9

y = 3

(I) (3) = -2(-9) + b

3 = 18+b

b= -15

Now we have m and b so we can write the equation of our line:

y = -2x - 15

Answer:

4 days

Step-by-step explanation:

1) Derive a formula.

Let b = bicycle

Let x = the number of days

A set up equation: b = 6x + 15

2) If she pays 39 to hire a bicycle, substitute 39 into b, then solve for x.

39 = 6x + 15

39 - 15 = 6x

24 = 6x

24/6 = x

4 = x

x = 4

Since x is the number of days, she hired the bicycle for 4 days.

There are 678 ways to stack the 6 books on the shelf if the math books cannot be next to each other.

To solve this problem, we can use the principle of inclusion-exclusion. We start by considering the total number of ways to arrange the 6 books on the shelf, which is 6! = 720. However, this includes arrangements where the math books are next to each other, so we need to subtract these cases.

There are 2 ways to choose which math book will be on the left, and 4! = 24 ways to arrange the remaining 4 books, for a total of 224 = 48 arrangements where the math books are next to each other. However, this overcounts arrangements where the math books are next to each other and there is another math book on either side, so we need to add these cases back in.

There is only 1 way to arrange the 3 math books in this case, and 3! = 6 ways to arrange the remaining 3 books, for a total of 16 = 6 arrangements where the math books are next to each other and there is another math book on either side.

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Answer:

write complete question...

so,I can solve it

Step-by-step explanation:

mark me brainliest