50 POINTS!
Solve for x (and you only have to do odd numbers if you want):
1. 3(x+2)=21
2. 5(2x-1)=-25
3. -4(3x-5)=-16
4. -2(4-x)-5=11
5. 3(-6x+7)+4x=-7
6. 2(3x-4)+5(2x+3)=-9
7. 5(x+9)=65
8. 1/2(x-3)=-4
9. 5x+2(x-6)+7=2
10. 9(x+3)-14x-15=52

Answer:

it is 270 minutes

Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

Answer:

−5/3y−3

Step-by-step explanation:

Combine like terms

You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

Learn more about causality:

brainly.com/question/9369134

#SPJ4

the values of x for which G'(x) = 0 and g'(x) = 0 are determined by the condition that the integral term (∫₀^(sin(x))e^(sin(t))dt) is equal to zero.

The derivative of the function G(x) can be found using the chain rule and the fundamental theorem of calculus. By applying the chain rule, we get G'(x) = 2(∫₀^(sin(x))e^(sin(t))dt)(cos(x)).

To determine the values of x for which G'(x) = 0, we set the derivative equal to zero and solve for x: 2(∫₀^(sin(x))e^(sin(t))dt)(cos(x)) = 0. Since the term cos(x) is never equal to zero for all x, the only way for G'(x) to be zero is if the integral term (∫₀^(sin(x))e^(sin(t))dt) is zero.

Now let's consider the function g(x) defined as g(x) = (∫₀^(sin(x))e^(sin(t))dt)^2. To find g'(x), we apply the chain rule and obtain g'(x) = 2(∫₀^(sin(x))e^(sin(t))dt)(cos(x)).

Similarly, to find the values of x for which g'(x) = 0, we set the derivative equal to zero: 2(∫₀^(sin(x))e^(sin(t))dt)(cos(x)) = 0. Again, since cos(x) is never equal to zero for all x, the integral term (∫₀^(sin(x))e^(sin(t))dt) must be zero for g'(x) to be zero.

In summary, the values of x for which G'(x) = 0 and g'(x) = 0 are determined by the condition that the integral term (∫₀^(sin(x))e^(sin(t))dt) is equal to zero.

Learn more about fundamental theorem here:

https://brainly.com/question/30761130

#SPJ11

Answer:

d = 6\(\sqrt{2}\)

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = \(\frac{\sqrt{2} }{2}\) , then

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{d}{12}\) = \(\frac{\sqrt{2} }{2}\) ( cross- multiply )

2d = 12\(\sqrt{2}\) ( divide both sides by 2 )

d = 6\(\sqrt{2}\)

The value of d in the simplest radical form is 6√2

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Given is a right triangle, with an acute angle measuring 45°, with a hypotenuse of 12 units,

We need to find value of d,

We know that, sine of an angle is the ratio of adjacent side to hypotenuse,

Therefore,

sin45° = d/12

1/√2 = d/12

d = 6√2

Hence, the value of d in the simplest radical form is 6√2

Learn more about trigonometric ratios, click;

https://brainly.com/question/25122832

#SPJ2

a. The ratio of rows of corn to beans is 13 : 12 or 13/12 or 13 to 12.

b. The ratio of rows of lettuce to the total number of rows in the garden is 5 : 52 or 5 to 52 or 5/52.

a. The ratio using the word 'to' is corn to beans.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know a ratio between a and b can be written as a : b, a/b or a to b.

From the given information the ratio of rows of corn to beans is,

corn/beans = 13/12 Or 13 : 12 Or 13 to 12.

The ratio of rows of lettuce to the total number of rows in the garden is,

lettuce/total number of rows in the garden = 5/52 Or 5 : 52 Or 5 to 52.

The ratio using the word 'to' is corn to beans.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ1

(hope this helps) :)

Step-by-step explanation: in the picture

please give me a brainliest answer

Answer:

x<3

Step-by-step explanation:

Answer:

19280000

Step-by-step explanation:

Answer:

3:10

Step-by-step explanation:

In order to find the ratio of red to green sweets, we first need to find the ratio of yellow to green sweets. We know that the ratio of yellow to green is 1:5 and we also know that the ratio of red to yellow is 3:2.

We can use this information to find the ratio of red to green by cross-multiplying the ratio of red to yellow and the ratio of yellow to green.

So (3:2) x (1:5) = (3:10)

This means the ratio of red to green is 3:10.

Alternatively, we can find the ratio of red to green by using the following formula:

(red:yellow) x (yellow:green) = (red:green)

So (3:2) x (1:5) = (3:10)

The ratio of red to green is 3:10.

Answer:

Step-by-step explanation:

The ratio of red : yellow = 3:2 and yellow:green = 1:5

So, the ratio of red : yellow : green = 3:2:5

To find the ratio of red: green, we can find the ratio of red : yellow : green and then divide the red and green portions.

So, the ratio of red: green = (3/(3+2+5)) : (5/(3+2+5)) = 3/10 : 5/10 = 3:5

Answer:

That was a good fun fact.

Rounding to the nearest foot, the length of the guy wire should be approximately 164 feet.

To find the length of the guy wire, we can use trigonometry. The guy wire, the tower, and the ground form a right triangle.

The angle between the ground and the guy wire is given as 21 degrees, and the distance from the top of the tower to the attachment point is 6 feet.

Let's denote the length of the guy wire as "x." In the right triangle, the opposite side is x (the guy wire), the adjacent side is 427 - 6 = 421 feet (the height of the tower minus the distance from the top), and the angle is 21 degrees.

Using the trigonometric function tangent (tan), we have:

tan(21°) = x / (421)

To find x, we can rearrange the equation:

x = tan(21°)  (421)

Now we can calculate x:

x = tan(21°)  (421) = 0.3894  (421) = 163.78

Rounding to the nearest foot, the length of the guy wire should be approximately 164 feet.

Learn more about Trigonometry here:

https://brainly.com/question/13971311

#SPJ11

Answer:

It's mathematics due to the subject-

Given the following question:

Which equation is equivalent to logx 36 = 2

Now we have to find the option that also equals 6:

Starting with Option B:

Your answer is option B.

The perimeter of the composite figure is 24 m.

Perimeter is the distance around an object.

To calculate the perimeter of the composite figure, we use the formula below

Formula:

Where:

From the question,

Substitute these values into equation 1

Learn more about perimeter here: https://brainly.com/question/24571594

#SPJ1

Answer:

\(10x^2-x+3\) miles.

Step-by-step explanation:

It is given that,

Total length of park trail = \(10x^2+4x+2\) miles

Total length traveled by hiker = \(5x-1\) miles

We need to find the length of trail hiker need to travel to get to the end of the trail.

Required length \(=10x^2+4x+2-(5x-1)\)

               \(=10x^2+4x+2-5x+1\)

               \(=10x^2+(4x-5x)+(2+1)\)

               \(=10x^2-x+3\)

Therefore, hiker need to travel \(10x^2-x+3\) miles to get to the end of the trail.

Answer:

p=-1/3

Step-by-step explanation:

Answer:

The inequality to determine how many hours Ms. Vicker must tutor to have enough money for the dress.

$600 + 10x ≥ $1200

Step-by-step explanation:

From the question, we are told that:

Ms. Vicker is trying to save enough money to buy her wedding dress at the cost of $1,200. She has $600 saved from her summer school job.

The amount to make up to complete her wedding dress = $1200 - $600

= $600

To make the rest of the money, Ms. Vicker plans to tutor for Sylvan at a cost of $10 per hour.

= Number of hours Ms vicker must tutor Sylvan to make $600 is calculated as:

$600/$10 = 60 hours

The inequality to determine how many hours Ms. Vicker must tutor to have enough money for the dress is written as

$600 + 10x ≥ $1200

Based on the empirical rule, the probability that the hedge fund returns over 50% next year is approximately 5%.

The empirical rule, also known as the 68-95-99.7 rule, is a statistical guideline that applies to a normal distribution (also called a bell curve). It states that for a normal distribution:

Approximately 68% of the data falls within one standard deviation of the average.

Approximately 95% of the data falls within two standard deviations of the average.

Approximately 99.7% of the data falls within three standard deviations of the average.

In this case, we know the average return of the hedge fund is 26% per year, and the standard deviation is 12%. We want to approximate the probability that the fund returns over 50% next year.

To do this, we need to determine how many standard deviations away from the average 50% falls. This can be calculated using the formula:

Z = (X - μ) / σ

Where:

Z is the number of standard deviations away from the average.

X is the value we want to find the probability for (50% in this case).

μ is the average return of the hedge fund (26% per year in this case).

σ is the standard deviation (12% in this case).

Let's calculate the Z-value for 50% return:

Z = (50 - 26) / 12

Z ≈ 24 / 12

Z = 2

Now that we have the Z-value, we can refer to the empirical rule to estimate the probability. According to the rule, approximately 95% of the data falls within two standard deviations of the average. This means that there is a 95% chance that the hedge fund's return will fall within the range of (μ - 2σ) to (μ + 2σ).

In our case, the range is (26 - 2 * 12) to (26 + 2 * 12), which simplifies to 2 to 50.

To know more about average here

https://brainly.com/question/16956746

#SPJ4

Partial grades can be awarded for providing explanations, even if the answer to the True/False statement is straightforward. Hence, the given statement is true.

In many cases, providing a simple True or False answer may not fully demonstrate the depth of understanding or reasoning behind the response. Therefore, instructors or evaluators may award partial grades for explanations that show some level of comprehension, even if the True/False statement itself is correct or incorrect.

In academic or evaluative settings, explanations are often valued as they provide insight into the thought process and understanding of the individual. Even if the answer to a True/False statement is clear-cut, an explanation can demonstrate critical thinking, application of relevant concepts, and an ability to articulate reasoning.

Grading partial credit for explanations encourages students to provide thorough and thoughtful responses, fostering a deeper understanding of the subject matter. It acknowledges that the process of arriving at an answer can be just as important as the answer itself, promoting a more comprehensive evaluation of the individual's knowledge and skills.

Learn more about partial grading here:

https://brainly.com/question/31991917

#SPJ11

Answer:

6 × 36 = 216

Step-by-step explanation:

one ticket price: 216 ÷ 6 = $36

Answer:

33 units²

Step-by-step explanation:

Use the formula for the surface area of a square pyramid:

\(S.A.=b^2+2bh\)

Where b is the base, and h is the slant height.

Substitute:

\(S.A.=3^2+2(3)(4)\\S.A.=9+24\\S.A.=33\)

Or use the net and solve for the area of each shape:

Area of square:

\(A_s=3^2\\A_s=9\)

Area of 4 triangles:

\(A_t=\frac{bh}{2}\\A_t=\frac{(3)(4)}{2}\\A_t=\frac{12}{2}\\A_t=6\\4A_t=(4)(6)\\4A_t=24\)

Add both results up:

\(S.A.=24+9\\S.A.=33\)

And put units² at the end.

Answer:

Step-by-step explanation:

S = 3tr(b + 1)

b + 1 = S/3tr

b = S/3tr - 1

Answer:

\(x=10\)

Step-by-step explanation:

\(5x-7=4x+3\)

Add 7 to both sides:

\(5x-7+7=4x+3+7\)

\(5x=4x+10\)

Subtract 4x from both sides:

\(5x-4x=4x+10-4x\)

\(x=10\)

The value of x in 5x - 7=4x + 3 is 10 .

Given,

5x - 7=4x + 3

Here,

Equation :5x - 7=4x + 3

So,

Firstly take 4x from RHS to LHS .

5x - 4x -7 = 3

x -7 = 3

Now take 7 from LHS to RHS ,

x = 7 + 3

x = 10

Thus the solution of x is 10 .

Know more about equation,

https://brainly.com/question/379059

#SPJ6