The question is find the roots?
so what is
\( \sqrt[3]{x ^{3} } \)
​

Answer:

k = - 12

Step-by-step explanation:

(5)³ - 7(5) + k = 78

125 - 35 + k = 78

k = - 12

Answer:

22000 i think

Step-by-step explanation: I divided it into 3=6000

to find the extra 25% i added an extra 6000

so I did 4(18000/3=6000) or 6000*4

Answer:

-9/4  Negative As a Fraction

How I got the answer:

2 (x+3) = (1/8) (x+2)

x+ 3 = -3 (x+ 2)

x = -9/4

I helped you so mark me BRAINLIEST

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

The form that most quickly reveals the zeros of the function is b because it is already factored the zeros are -8 and 2.

We are given that;

Functions f(x) = -1/2(x+3)^2+25/2, f(x)= -1/2(x-2)(x+8) and f(x)= -1/2x^2-3x+8

Now,

The zeros of a quadratic function are the points where the graph of the function intersects the x-axis. At the zeros of the function, the y-coordinate is 0 and the x-coordinate represents the zeros of the quadratic polynomial function1.

To find the zeros of a quadratic function in standard form (ax^2+bx+c), we can use the quadratic formula:

\(x = (-b ± sqrt(b^2-4ac)) / 2a^\\2\\\)

Now, let’s look at the three equivalent forms of f(x) given in your question. a. f(x) = -1/2(x+3)^2+25/2 b. f(x)= -1/2(x-2)(x+8) c. f(x)= -1/2x^2-3x+8

Therefore, by quadratic equations the answer will be -8 and 2.

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To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

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The equation of the plane through the origin and the points (2, –4, 6) and (5, 1, 3) is - 9x + 12y + 11 x = 0.

The general equation of a plane through (0, 0, 0) is a(x - 0) + b(y - 0) + c(z - 0) = 0

Since the plane passes though the origin, the equation of the plane is given by ( x, y, z ) = 0. Simplify it so that you write the equation of the plane in the form a x + b y + c z = 0

ax + by + cx = 0...(1)

It will pass through B(2, -4, 6) and C(5, 1, 3) if

a(2) + b(-4) + c(6) = 0

2a - 4b + 6c = 0

a - 2b + 3c = 0 ...(2)

a(5) + b(1) + c(3) = 0

5a + b + 3c = 0 ... (3)

Solving (2) and (3) by cross-multiplication, we have

\(& \frac{a}{-6-3}=\frac{b}{15-3}=\frac{c}{1+10} \\\)

\(& \Rightarrow \frac{a}{-9}=\frac{b}{12}=\frac{c}{11}=\lambda\) (say) }

\(& \Rightarrow\) a = - 9 \(\lambda\), b = 12 \(\lambda\)  and c = 11 \(\lambda\)

Substituting the values of a, b and c in (1), we get

- 9 \(\lambda\) x + 12 \(\lambda\) y + 11 \(\lambda\) x = 0

- 9x + 12y + 11 x = 0

which is the required equation of the plane.

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The correct inequality that represents the given scenario is, x + 4 ≤ 16. Hence option A is true.

Used the concept of inequality,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that,

Joanne volunteers 4 hours more per week than Richard does.

In a given week, they do not volunteer for more than a combined total of 16 hours.

Let x be the number of hours that Richard volunteers.

Then the correct inequality is,

x + 4 ≤ 16

Therefore, option A is true.,

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Answer:

a

Step-by-step explanation:

\(6x+4=20-2x\)

Add 2 to each side

\(8x+4=20\)

Subtract 4 from each side

\(8x=16\)

Divide 8 by each side

\(x=2\)

Answer:

a

Step-by-step explanation:

Your goal is to isolate the variable(x). If you subtract 4 from the left side and right side, then you are left with , 6x=16-2x. Then you add 2x to both sides to get 8x=16. Lastly divide both sides by 8 to get x=2. Hope this helps :)

Answer:

D = 272 ft

Step-by-step explanation:  hope this helps. pls mark me brainliest

Answer:

30-60-90 is a special right triangle

if the side opposite to the 30 degree angle = x,

then the side opposite to the 90 degree angle = 2x

and the side opposite to the 60 degree angle = x*sqr3

2x=14

x=7

side BC is opposite to the 30 degree angle, so it is 7 cm

side AB is opposite to the 60 degree angle, so it is 7sqr3 cm

Answer:

clearer pic?

Step-by-step explanation:

The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.



To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.

Given:

Arrival rate: 18 vehicles per hour

Service rate: 16 vehicles per hour

Time: 4 hours

First, let's calculate the total number of vehicles that arrive during the 4-hour period:

Total number of vehicles = Arrival rate * Time

                      = 18 vehicles/hour * 4 hours

                      = 72 vehicles

Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:

Time to serve all vehicles = Total number of vehicles / Service rate

                         = 72 vehicles / 16 vehicles/hour

                         = 4.5 hours

Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.

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Answer: y = 15/4 x - 8

Step-by-step explanation:

Answer: the area is 219.8 because 3.14 times 70

i know. big ideas math sucks. it times you and sends your time to the teacher.

Step-by-step explanation:

3.14 times 70 = 219.8

Answer:

sin45°= opp/hyp

opp= 6

hyp=x

sin45°=6/x

x=6÷0.7071

x=8.49

Plot these points on a graph and draw the curve to represent the function S(x) = 3√(x) - 1. The graph that shows this curve is the correct representation of the given function.

To find the graph that shows S(x) for the larger frame's side length, we'll follow these steps:

1. Understand the given function: The function for the side length of the larger frame, S(x), is given as S(x) = 3√(x) - 1, where x is the area of the smaller frame in square inches.

2. Create a table of values: To find the graph of S(x), we can create a table of values by substituting various x values (area of the smaller frame) into the function and calculating the corresponding S(x) values (side length of the larger frame).
3. Plot the points on a graph: Once we have the table of values, we can plot the points on a graph and draw the curve to represent the function S(x) = 3√(x) - 1.

Here's an example of a table of values for the function:
| x (Area of smaller frame) | S(x) (Side length of larger frame) |
|---------------------------|------------------------------------|
| 0                         | -1                                 |
| 1                         | 2                                  |
| 4                         | 5                                  |
| 9                         | 8                                  |

Plot these points on a graph and draw the curve to represent the function S(x) = 3√(x) - 1. The graph that shows this curve is the correct representation of the given function.

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Answer:

The height of any right triangle is just simply the many units that are going up but it has to start from the right angle and upwards and that would be your height.

It may already give you a height so there is no need to worry if so.

Here, in this case the side on the very left is my height:

Answer:

Use Pythagorean Theorem

Step-by-step explanation:

a²+b²=c²

You need to find the height, which means you have a and c. You square a and c, subtract a from c, then find the square root of that difference. Now you have b.

EXAMPLE:

a=3, c=6

3²+b²=6²

9+b²=36

-9        -9

b²=27

sqrt of 27 is 5.2. So the side is 5.2

---

hope it helps

Comparing this equation to the answer choices provided, the correct answer is D) 2r^2 sin θ cos θ = 1.

To convert the equation xy = 1 from rectangular coordinates to polar coordinates, we can use the following equations:
x = r cos θ
y = r sin θ
Substituting these expressions into xy = 1, we get:
r cos θ * r sin θ = 1
Simplifying and using trigonometric identities, we can obtain the equation in polar coordinates:
r^2 sin 2θ = 2
Therefore, the answer is option C) r^2 sin 2θ = 2.
To convert the given equation xy = 1 from rectangular coordinates (x, y) to polar coordinates (r, θ), you'll need to use the following conversion formulas:
x = r cos θ
y = r sin θ
Now, substitute these formulas into the given equation:
(r cos θ)(r sin θ) = 1
Simplify the equation:
r^2 sin θ cos θ = 1
Comparing this equation to the answer choices provided, the correct answer is D) 2r^2 sin θ cos θ = 1. Note that there is a slight discrepancy between our derived equation and the answer choice, which contains a factor of 2. However, this is the closest match among the given options.

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Answer: 65%

Step-by-step explanation:

Answer:

completamente respuesta

Answer:

First statement: Angles 1 and 3 are vertical angles.

First reason: Definition of supplementary

Second Reason: Vertical angles are congruent

Third Reason: Vertical Angles Theorem

Step-by-step explanation:

Hope this helps: Angles that form an X- Type figure are congruent.

5

+

8

+

3

+

4

=

−

4

0

+

4

5x+8+3x+4=-40+4

5x+8+3x+4=−40+4

Solve

1

Add the numbers

5

+

8

+

3

+

4

=

−

4

0

+

4

5x+{\color{#c92786}{8}}+3x+{\color{#c92786}{4}}=-40+4

5x+8+3x+4=−40+4

5

+

1

2

+

3

=

−

4

0

+

4

5x+{\color{#c92786}{12}}+3x=-40+4

5x+12+3x=−40+4

2

Combine like terms

3

Add the numbers

4 more steps

Solution

=

−

6

x=-6

x=−6

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Answer: 3/10 of an hour

Step-by-step explanation:

The sales price of the item is $48.

The sale price of an item that costs 60% of its original price which is $80 is $48. The original price of the item is $80, and it costs 60% of the original price. The amount of money we'll be spending is calculated as follows: 60 per cent of $80 (60/100) × $80= $48 Therefore, the sales price is $48. The percentage discount for the item is calculated as follows:$80 - $48 = $32

$32 is the amount of money saved due to the discount, which is then divided by the original price, $32/$80 = 0.4 or 40%. Thus, there was a 40% discount on the original price.

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Answer:

y= 3 when x= 0

y=3

Step-by-step explanation:

in the problem, there's a patten in the difference of X and Y,

at first, Y is 3 more than X (2 and 5)

then y is 4 more, 5 more, and 6 more.

y goes up by 1 each time

so if Y is 5 when X is 2, then when X is 1 Y is 4

when X is 0 Y is 3

Answer:

2?

Step-by-step explanation:

y is adding by 3 every time...

Maybe that helps?

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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Answer:

a number less then 6 is the anser so the 1st one

Answer:

yes, you can graph parametric equations there. (It's called Desmos, by the way, not “Demos.”) Click on the triple-bar symbol at the top left, which takes you to a drop-down menu. Scroll down that menu until you see the entries for parametric equations. Hope this helps!

Step-by-step explanation:

pls say thx

Answer:

a. 5

Step-by-step explanation: