-0.5 ≤ m/10

Will mark brainiest :)

Solve the inequality!

The equation of the function is: H = 4t + 10.

The y-intercept of the function is 10, which is the height of the plant when Liam initially bought it.

To write the equation of a function, first, find the slope (m) = rise / run. You can pick any two points on the line to find the slope. Next, find the y-intercept (b) which is the point where the line intercepts the vertical axis of the graph.

Find the slope using the two points from the given graph, (5, 30) and (10, 50):

Slope (m) = change in H / change in t = (50 - 30) / (10 - 5) = 20/5

m = 4

The y-intercept is b = 10 [in this context, it is the height of the plant when Liam initially bought it]

To write the equation of the function, substitute m = 4 and b = 10 into H = mt + b:

H = 4t + 10

Learn more about the equation of a function on:

https://brainly.com/question/25638609

#SPJ1

Using proportions, it is found that the federal tax rate is of 10%.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The tax rate is the proportion that $17.50 is of $175, hence:

r = 17.50/175 = 0.1 = 10%.

The federal tax rate is of 10%.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

x int(-7.5, 0)

y int (0, 5.5)

Step-by-step explanation:

Answer:

X? im not sure about it...

The Perimeter is 238! Have a good day:)

Answer:

The perimeter of the larger octagon is 238.

Step-by-step explanation:

Multiply the perimeter of the smaller octagon by 7.

34 x 7 = 238.

Answer:

Step-by-step explanation:

The sample space in a  3  times die roll  =63=216.  

Now,  P(getting at least one 6)=1−P(getting NO 6).  

Probability of getting no  6  in a single die roll

=56.  

Thus probability of getting NO  6  in three die rolls

=56×56×56=125216.  

Therefore, the probability of getting at least one  6  

P=1−125216=91216.

The volume of the solid generated is B) 523.599.

To find the volume of the solid generated when the region bounded by the graph of y = \(\sqrt{100-4x^{2} }\) , x-axis, and y-axis in the first quadrant is revolved about the y-axis, we can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

V = 2π ∫[a,b] x * f(x) dx

where [a,b] is the interval of x-values for the region, and f(x) is the function that represents the curve.

In this case, the region is bounded by the curve y =  \(\sqrt{100-4x^{2} }\) , x-axis, and y-axis. To find the volume, we need to integrate the expression 2πx *  \(\sqrt{100-4x^{2} }\)  with respect to x from 0 to a, where a is the x-coordinate where the curve intersects the x-axis.

To find the value of a, we set y =  \(\sqrt{100-4x^{2} }\)  equal to 0 and solve for x:

\(\sqrt{100-4x^{2} }\)  = 0

100 – 4\(x^{2}\) = 0

4\(x^{2}\) = 100

\(x^{2}\) = 25

x = ±5

Since we are considering the region in the first quadrant, we take a = 5.

Now, we can calculate the volume using the integral:

V = 2π ∫[0,5] x *  \(\sqrt{100-4x^{2} }\)  dx

Evaluating this integral is a complex calculation. However, based on the given answer choices, we can determine that the correct answer is 523.599 (option B).

To learn more about volume here:

https://brainly.com/question/32232663

#SPJ4

The solution if h(x) = g(x) is ±1

Given the following functions

h(x)=1+2x/x

g(x)=2+x

The solution of the function occur at h(x) = g(x)

If h(x) =  g(x), then;

1+2x/x  = 2 + x

Cross multiply

1+2x = x(2+x)

1 + 2x = 2x + x^2

Equate the resulting expression to zero to have;

x^2 = 1

x = ±1

Hence the solution if h(x) = g(x) is ±1

Learn more on solution to function here: https://brainly.com/question/10439235

Answer:

Step-by-step explanation:

The charge for each hour is $39.50. Therefore, option D is the correct answer.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The given equation is y=39.50x+75.

The standard form of the slope intercept form is y=mx+c.

Where, m is slope or rate of change.

In the equation y=39.50x+75

The total charge is y, x is number of hours, $75 is base fee and $39.50 is charge per hour.

Therefore, option D is the correct answer.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

Answer:

Step-by-step explanation:

\(\begin{bmatrix}6x=3y-7\\ 9y-18x-9=0\end{bmatrix}\\\mathrm{Isolate}\:x\:\mathrm{for}\:6x=3y-7:\quad x=\frac{3y-7}{6}\\6x=3y-7\\\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x}{6}=\frac{3y}{6}-\frac{7}{6}\\Simplify\\x=\frac{3y-7}{6}\\\mathrm{Subsititute\:}x=\frac{3y-7}{6}\\\begin{bmatrix}9y-18\cdot \frac{3y-7}{6}-9=0\end{bmatrix}\\\mathrm{Refine\:}9y-18\frac{3y-7}{6}-9=0\\12=0\\12=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}\\No\:Solution\)

I hope this is what you wanted

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

\(7b=4(b+30)\\7b=4b+120\\3b=120\\b=40\)

Yes you are right :)

Remember that

The rule of a reflection over the line y=-x is equal to

(x,y) ------> (

Answer:

hallar ''EF , si MN =24cm preguntas para responder: a)30. 2 , b)15. 2 , c)15 . d)

The sequence contains the reciprocals of consecutive integers. Let's denote the nth term of the sequence as a_n, so a_n = 1/(n+3).

As n increases, the denominator of a_n increases, so a_n decreases. Therefore, the sequence is decreasing.

To determine whether the sequence converges or diverges, we need to find its limit.

We can use the squeeze theorem to determine the limit. Let b_n = 1/n, and c_n = 1/(n+2). Then b_n > a_n > c_n for all n.

We know that lim b_n = 0, and lim c_n = 0, since both b_n and c_n are reciprocals of terms that go to infinity.

Therefore, by the squeeze theorem, lim a_n = 0.

So the sequence converges to 0.

Click the below link, to learn more about Convergent and Divergent:

https://brainly.com/question/31431635

#SPJ11

Answer:

f(x)＝(x-3)*(x+5)*(x-2)*(x+2)

Answer:

6.25 Miles per hour speed

Answer:

D. $9.50

Step-by-step explanation:

If you take the $155 and subtract the $15 per lawn mowed you get $95. If then you add up the total hours he spent mowing (10) and divide the $155 by the 10 you end up with $9.50 for each hour he spent mowing.

The square root of 45 ≈ 6.7082

The square root of 92 ≈ 9.5917

The square root of 126 ≈ 11.2249

The square root of 45 is approximately 6.7082, which is derived from taking the square root of 45 \((\sqrt(45)).\)

For 92, the square root is approximately 9.5917 \((\sqrt(92))\).

As for 126, its square root is around 11.2249 \((\sqrt(126)).\)

These values are approximations because the square roots of 45, 92, and 126 are irrational numbers, meaning their decimal representation is non-repeating and non-terminating.

When working with these square roots in calculations, it is common to either use their approximate values or to keep them in square root form to maintain the highest level of precision.

Read more about square root here:

https://brainly.com/question/428672

#SPJ1

The Question in English

What is the square root of 45

what is the square root of 92

what is the square root of 126

a)  The x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

b) The coordinates of the vertex are (0.75, -5.125).

c) By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

Setting f(x) = 0:

\(2x^2 - 3x - 5 = 0\)

To solve this quadratic equation, we can either factor it or use the quadratic formula. In this case, factoring is not straightforward, so let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 2, b = -3, and c = -5. Substituting these values into the quadratic formula:

x = (-(-3) ± √((-3)^2 - 4(2)(-5))) / (2(2))

x = (3 ± √(9 + 40)) / 4

x = (3 ± √49) / 4

x = (3 ± 7) / 4

This gives us two possible solutions:

x1 = (3 + 7) / 4 = 10/4 = 2.5

x2 = (3 - 7) / 4 = -4/4 = -1

Therefore, the x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or minimum, we need to consider the coefficient of the x^2 term in the function f(x). In this case, the coefficient is positive (2), which means the parabola opens upward and the vertex represents a minimum point.

To find the coordinates of the vertex, we can use the formula x = -b / (2a). In our equation, a = 2 and b = -3:

x = -(-3) / (2(2))

x = 3 / 4

x = 0.75

To find the corresponding y-coordinate, we substitute x = 0.75 into the function f(x):

f(0.75) = 2(0.75)^2 - 3(0.75) - 5

f(0.75) = 2(0.5625) - 2.25 - 5

f(0.75) = 1.125 - 2.25 - 5

f(0.75) = -5.125

Therefore, the coordinates of the vertex are (0.75, -5.125).

Part C: To graph the function f(x), we can follow these steps:

Plot the x-intercepts obtained in Part A: (2.5, 0) and (-1, 0).

Plot the vertex obtained in Part B: (0.75, -5.125).

Determine if the parabola opens upward (as determined in Part B) and draw a smooth curve passing through the points.

Extend the curve to the left and right of the vertex, ensuring symmetry.

Label the axes and any other relevant points or features.

By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

The x-intercepts help determine where the graph intersects the x-axis, and the vertex helps establish the lowest point (minimum) of the parabola. The resulting graph should show a U-shaped curve opening upward with the vertex at (0.75, -5.125) and the x-intercepts at (2.5, 0) and (-1, 0).

For more such questions on intercepts visit:

https://brainly.com/question/24212383

#SPJ8

Answer:

35

Step-by-step explanation: I used a protractor

Answer:

35 degrees.

Step-by-step explanation:

To figure this question out, we first need to understand how to solve it. We know that all the angles in a triangle add up to 180 degrees. we can imagine this is a massive triangle. We can do the following

73 + 51 + (21+x) = 180

we can do this, because we already know the other two angles, and we know part of the last angle is 21, and the other part of the last angle is x. We can add them all together.

124 + 21 + x =180

145 + x =180

35 = x

Answer:

2nd and 4th options

Step-by-step explanation:

both answers begin with a fixed point drawn with a straight line through a point that continues on by showing an arrow

Answer:

All except FD

Step-by-step explanation:

All except FD

ABC. No image attached btw

Answer:in triangle def, the measure of def

Step-by-step explanation:

Just go 3 letters down

We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

To learn more about ratio test visit:

brainly.com/question/31856271

#SPJ11

The quadratic function that has the smallest minimum value include the following: 1.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For quadratic function f(x) = 6x² + 5x - 2, we have:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(5)/2(6)

Axis of symmetry, Xmin = -5/12

Minimum value, f(-5/12) = 6(-5/12)² + 5(-5/12) - 2

Minimum value, f(-5/12) = -3.04

For quadratic function f(x) = 6(x - 2)² - 2, we have:

Axis of symmetry, Xmin = -(-24)/2(6)

Axis of symmetry, Xmin = 2

Minimum value, f(2) = 6(2 - 2)² - 2

Minimum value, f(2) = -2

For quadratic function h(x), we have:

h(2.5) = (2.5 - 3)(2.5 - 2)

h(2.5) = -0.25

In conclusion, the minimum value of the quadratic function g(x) is 0.

Read more on quadratic functions here: brainly.com/question/14201243

#SPJ1

The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


To learn more about Tension click here: brainly.com/question/31500075

#SPJ11

Answer:

9/6

Step-by-step explanation:

6 (4r + 3 ) : 8 (2 + 3r) + 2

6 (4r - 3r) : 8 ( 2 - 3) + 2

6 (r) : 8 (-1) + 2

6r : 8 + 1

6r : 9

r = 9/6

The number of arrangements of the letters in 'combinatorics' that have consecutive c’s but no consecutive vowels = 8! × C(9, 5)

We need to find the number of arrangements of the letters in 'combinatorics' that have consecutive c’s but no consecutive vowels.

First we divide the consonants and the vowels.

The consonants are 2 C's, M, B, N, T, R, and S.

and the vowels are 2 O's, 2 I's and one A.

Now the total number of ways to arrange the consonants = 8!

Now we need to arrange my vowels such that there are no consecutive vowels.

Since there are nine places to place vowels in order to avoid having consecutive vowels, there are C(9,5).

Using combination formula:

C(9, 5) = ⁹C₅

           = 9!/(5! × (9 - 5)!)

           = 9!/(5! × 4!)

           = 126

The number of arrangements of the letters in 'combinatorics' that have consecutive c’s but no consecutive vowels:

n = 8! × C(9, 5)

n = 5080320

Learn more about the combination here:

https://brainly.com/question/28720645

#SPJ4

Answer:12.567

Step-by-step explanation:

If researchers report that the results from their study were significant, p < .05, this means that we would expect the results to occur by chance less than 5 times out of 100.

When researchers report that the results from their study were significant, p < .05, it means that we would expect the results to occur by chance less than 5 times out of 100. This threshold is commonly used in statistical hypothesis testing.

In statistical hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. If the p-value is less than the predetermined significance level of .05 (or 5%), it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance alone, and there is evidence to support the alternative hypothesis.

Therefore, option D, "We would expect the results to occur by chance less than 5 times out of 100," is the correct interpretation of reporting significant results with p < .05.

Learn more about hypothesis

brainly.com/question/29576929

#SPJ11

Answer:

901,287

982,282

287,099

Step-by-step explanation:

287,982,287,901,287,099