Solve for x.

25(x−910)=−234

Enter your answer as a mixed number in simplest form in the box.

Answer:

1.324

Step-by-step explanation:

Answer:

1.324

Step-by-step explanation:

One whole and three hundredths is 1.3

Add the twenty four thousandths and you get 1.324

Hope this helps!

Two -dimensional shape is formed if a plane intersects the cylinder shown, perpendicular to the base is a rectangle. Hence option C is the correct option.

What is the two-dimensional shape?

Plane figures are two-dimensional figures. Three-dimensional figures are solid shapes.

A cross-section is a shape formed by the intersection of a solid object and a plane. A three-dimensional shape's cross-section is a two-dimensional geometric shape.

Cross-Sectional Shapes

Cross-sections are classified into two types:

* Horizontal cross-sections and

* Vertical cross-sections.

The shape is a circle if the cylinder has a horizontal cross-section. If the plane of the cylinder's base is perpendicular to its base, the shape is a rectangle.

When the plane intersects the cylinder parallel to the base with a variable angle, an oval shape is formed.

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Answer:

y = -5x + 7

Step-by-step explanation:

Since the line you are looking for is parallel to y = -5x + 4, it will have a slope of -5

Now use the point-slope form to continue

y - 2 = -5(x - 1)

y - 2 = - 5x + 5

y = -5x + 7

Answer:

90°

Step-by-step explanation:

There is no work. We know the right angle in the triangle and  the x are supplementary. Meaning, they add up to 180 degrees.  Therefore, 180-90 = 90. Think of it as a full triangle. If the 40 at the top was not half, but a full triangle, the 40 at the top would become 80. The 50 in the bottom left would mean there would be a 50 in the bottom right when you mirror the triangle. Therefore, you also need x to be 90 to make it a right triangle.

From the z table the critical value corresponding to the level of significance level for a two-tailed test is z = 1.64.

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test.

The hypothesis which we put against the null hypothesis is an alternate hypothesis.

The null hypothesis is the one that researchers try to disprove.

From the question, we are told that

The number of observations is greater than 50  i.e. n > 50

The  level of significance is  \(\alpha = 0.1\)

Generally given that n >  30  then we will make use of the z table

So From the z table the critical value corresponding to the level of significance level for a two-tailed test is z = 1.64.

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The weeks will it take the grass to grow 12 over 7 centimeters is 3 weeks.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

St. Augustine grass can grow at the rate of 4 over 7 centimeters per week.

The weeks will it take the grass to grow 12 over 7 centimeters

4/7 x = 12/ 7

28x = 84

x = 84/28

x = 3

The weeks will it take the grass to grow 12 over 7 centimeters is 3 weeks.

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Answer:

12/7 divided by 4/7 = 3

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Here , we are going to use Trigonometric ratios.

In given right angled ∆ ;

\({:\implies \quad \sf \dfrac{x}{18}=\sin (60^{\circ}) \quad \bigg\{ \because \sin (\theta)=\dfrac{P}{H}\bigg\}}\)

\({:\implies \quad \sf x=\dfrac{18\sqrt{3}}{2} \quad \bigg\{\because \sin (60^{\circ})=\dfrac{\sqrt{3}}{2}\bigg\}}\)

\({:\implies \quad \bf \therefore \quad x=9\sqrt{3} \: units}\)

Also;

\({:\implies \quad \sf \dfrac{y}{18}=\cos (60^{\circ}) \quad \bigg\{ \because \cos (\theta)=\dfrac{B}{H}\bigg\}}\)

\({:\implies \quad \sf x=\dfrac{18}{2} \quad \bigg\{\because \cos (60^{\circ})=\dfrac{1}{2}\bigg\}}\)

\({:\implies \quad \bf \therefore \quad y=9 \: units}\)

Hence , The required values for x and y are 9√3 and 9 units

Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

x = 35°

Step-by-step explanation:

Hello!

The sum of the two angles is 90°, so if we set the sum of the two angles to 90, we can solve for x.

The value of x is 35°.

(1) - Everybody gets thirsty. The urge to drink fluids is a natural instinct regulated by a negative feedback loop between the brain and other organs in the body Osmoreceptors are situated in the brain, but on the blood side of the blood-brain barrier in a circmventricular organ.

2) Hyponatremia is the condition that occurs when your blood sodium level goes below 135 mEq/L. When the sodium level in our blood is too low, extra water goes into your cells and makes them swell. This swelling can be dangerous especially in the brain, since the brain cannot expand past the skull.

3) In COPD patients, chronically elevated carbon dioxide shifts the normal acid-base balance toward acidic.

Here, we have,

(1) - Everybody gets thirsty. The urge to drink fluids is a natural instinct regulated by a negative feedback loop between the brain and other organs in the body Osmoreceptors are situated in the brain, but on the blood side of the blood-brain barrier in a circmventricular organ. These regions are stimulated by an increase in plasma osmolality and form the most important input to cause thirst and drinking.

When we are thirsty we drink water hence no more thirsty. This is negative feedback because drinking the water stops the initial drive of thirst caused by dehydration. If thirst was a positive feedback system, you would be more thirsty after drinking water which doesnt make sense.

(2) - Signs and symptoms of deficiency includes :

Nausea and vomiting.

Headache.

Confusion.

Loss of energy, drowsiness and fatigue.

Restlessness and irritability.

Muscle weakness, spasms or cramps.

Seizures.

Coma.

Hyponatremia is the condition that occurs when your blood sodium level goes below 135 mEq/L. When the sodium level in our blood is too low, extra water goes into your cells and makes them swell. This swelling can be dangerous especially in the brain, since the brain cannot expand past the skull.

Functions of sodium in our body :

Human bodys needs sodium to conduct nerve impulses, Contract and relax muscles and maintain proper balance of fluids,water and minerals in the body.

(3) - Renal compensation to maintain near-normal pH in COPD patients. The lungs and the kidneys are the key organs responsible for keeping our body’s pH in balance. In COPD patients, kidneys compensate by retaining bicarbonate to neutralize pH.The ph and the hydrogen ions concentration are determined by the ratio of bicarbonate and not by any single value. This can be explained by the Hasselbach equation.

pH = 6.1 + log − HCO3/0.03pCO2

The metabolic disorders and respiratory disorders lead to alteration in bicarbonate pCO2 respectively. The body tries to maintain and minimize changes in the pH by kicking in the compensatory mechanisms to keep the bicarbonate/pCO2ratio constant. The compensation can be predicted to some extent and is based on primary metabolic or respiratory disorder.

In COPD patients, chronically elevated carbon dioxide shifts the normal acid-base balance toward acidic.

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Answer:

1. 35 2. 145 3. 35 4. 90 5. 145

Step-by-step explanation:

A restaurant provides a meal set including a drink and a hamburger. There are 6 kinds of drink and 3 kinds of hamburger available for selection.

Jason is going to order a meal set; we have to determine how many choices he has.  To determine the number of choices that Jason has, we can multiply the number of options for drinks by the number of options for hamburgers. This is because he can select any drink and any hamburger from the available options.

Therefore, the number of choices that Jason has is:6 (options for drinks) × 3 (options for hamburgers) = 18Thus, Jason has 18 choices when ordering a meal set, which means that the answer is option B, 18.

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Answer: The of getting an even number in first and an odd number second is 1/4 or 0.25

Step-by-step explanation:

Given,

Total number of outcomes = 36

We have to find the probability of rolling an even number first and an odd number second.

Solution,

Firstly we will find out the possible outcomes;

(2,1)(2,3)(2,5)(4,1)(4,3)(4,5)(6,1)(6,3)(6,5)

So the total number of outcomes = 9

Now according to the formula of probability, which is;

P(E)= total number of possible outcomes/total number of outcomes

Now on putting the values, we get;

P(of getting an even number in first and an odd number second)= 9/36 = 1/4 =0.25

Hence The of getting an even number in first and an odd number second is

1/4 or 0.25.

Hope this help

Answer:

1/4

Step-by-step explanation:

Answer:

x=−2+2sqrt6 or x=−2−2sqrt6. C, D

Step-by-step explanation:

For this equation: a=1, b=4, c=-20

1x2+4x+−20=0

Step 1: Use quadratic formula with a=1, b=4, c=-20.

x=−b±b2−4ac/2a

Step-by-step explanation:

I guess that means winning a level gives the player twice as many points as for winning the previous level.

if that is the real meaning here, then we have

l1 = 10

l2 = 2×l1 = 2×10 = 20

l3 = 2×l2 = 2×2×l1 = 2×2×10 = 4×10 = 40

ln = 2×ln-1 = l1 × 2^(n-1) = 10 × 2^(n-1)

therefore,

l5 = 10 × 2⁴ = 10 × 16 = 160

Answer:

Then the other choice is going to be A

Step-by-step explanation:

Let me know if b or c was correct

Answer:

3

Step-by-step explanation:

(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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Elrond can sit his guest in 15 ways around the circle such that all conditions are fulfilled.

A cycle is a shape made up of all the points in a rectangle that are a certain distance from the center. It is the curve drawn by a moving location in a rectangle so that the radius from a given stage remains constant.

The radius of a circle is the distance between any two locations on the circle and the canter.

In most cases, the radius must be positive. A circle with  r=0 is a degenerate instance. This section is about rounds in Euclidean geometry, primarily the Euclidean plane, unless otherwise noted.

Now we have to consider the conditions:

Elrond is holding a council at Rivendell. He's invited two men, two dwarves, and two elves, and plans to seat them all in a circle with seven seats, including himself.  so 5+6=11

He understands that dwarves and elves do not get along, therefore he plans to arrange them so that no dwarf seats next to an elf. In the center of the circle is a chair. Hence 2=2 = 4

Number of ways = 11+4 = 15

Therefore Elrond can sit his guest in 15 ways around the circle such that all conditions are fulfilled.

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The probability that exactly 5 out of the first 10 customers buy a magazine is 0.00126.

Given suspicion of 9.7% that buy a magazine is correct.

We have to find the probability that exactly 5 out of the first 10 customers buy a magazine. Probability is the chance of happening an event among all the events possible.

The binomial distribution is the probability of exactly x successes on n repeated trials and X can only have two outcomes.

\(P(X=x)=C_{n,x}p^{x} (1-p)^{n-x}\)

In which \(C_{n,x}=n!/x!(n-x)!\)

And P is the probability of happening of X.

In the question 9.7% of his customers buy a magazine.

So the value of P=0.097

This can be calculated by :

P(X=5) when n=13

\(P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}\)

\(P(X=5)=C_{10,5} (0.097)^{5} (1-0.097)^{10-5}\)

=\(P(X=5)=C_{10,5} (0.097)^{5} (0.903)^{5}\)

\(=10!/5!5!*0.0000085*0.600397\)

=252*0.00000510

=0.001286

Hence the probability that exactly 5 out of the first 10 customers buy a magazine is 0.001286.

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Assuming that Al had no model cars before he started to buy a new one each week, then, after N weeks, Al will own N cars.

If we divide the number of cars by the number of weeks, it will always equal a constant of proportionality of 1, since:

Therefore, the number of model cars he owns is proportional to the number of weeks that have passed since he started his collection.

Answer:

Choice a : $96,600

Step-by-step explanation:

The net worth of a person is computed as total assets - total liabilities in money terms

Ben's assets are as follows:

Townhome: $195,000

Savings: $5000

Car: $38,000

Total Assets: 195000 + 5000 + 38000 = $238,000

Ben's liabilities

Home Loan: $120,000

Credit Card: $1,400

Car Loan: $20,000

Total Liabilities = 120000 + 1400 + 20000 = $141,400

Net Worth = 238000 - 141400 = $96,600   (Answer is choice a)

Answer:

A

Step-by-step explanation:

Answer:

the answer is false because 3 is multiplied with 5 on the right side

Then, when substitute any number , there remain difference

The different ways of solving percent increase or percent decrease problems has been described below

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

One way to solve the percentage increase or decrease problem is by multiplying the original number by the percentage given and then adding the result with the original number.

Another method is by multiplier method

Here, the original number is taken as 1 and the given percentage has to be converted to decimal and then  1 and the percentage obtained as decimal is added or subtracted. The result obtained has to be multiplied by the original number to get the required number after increase or decrease

For the first method

Suppose the number is n and it is increased by p%

Required result is

\(n + \frac{p}{100}\times n\\n( 1 + \frac{p}{100})\)

For the second method

Suppose the number is n and it is increased by p%

Here n is taken as 1 and p% is converted to decimal

then 1 and p% in decimal form is added

we get (1 + 0._p)

Now the result is obtained is multiplied by n

Required result is

n(1 + 0._p)

\(n(1 + \frac{p}{100})\)

In this way the two methods are related

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Answer:

4/3

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (-3 - 1)/(-2 - 1)

slope = -4/(-3)

slope = 4/3

Results demonstrate the values of x that satisfy the given trigonometric equations.

The given trigonometric equations can be solved as follows:

cos(x) = sin(x/2):

By using the double angle identity for sine, we have:

cos(x) = 2sin(x/2)cos(x/2)

Dividing both sides by cos(x/2), we get:

cos(x) / cos(x/2) = 2sin(x/2)

Using the identity cos(x) = 1 / sec(x), we can rewrite the equation as:

1 / sec(x) = 2sin(x/2)

Taking the reciprocal of both sides, we have:

sec(x) = 1 / (2sin(x/2))

sec(x) = tan(x):

Using the identity sec(x) = 1 / cos(x) and tan(x) = sin(x) / cos(x), we can rewrite the equation as:

1 / cos(x) = sin(x) / cos(x)

Canceling out the common factor of cos(x), we get:

1 = sin(x)

sin(x) = cos(x):

This equation implies that the angle x is either π/4 or 5π/4, since sin(π/4) = cos(π/4) = 1/sqrt(2) and sin(5π/4) = cos(5π/4) = -1/sqrt(2).

The given trigonometric equations involve various trigonometric identities and properties to solve for the values of x.

In the first equation, we start with the given equation cos(x) = sin(x/2) and apply the double angle identity for sine, which allows us to express sin(x) in terms of sin(x/2) and cos(x/2). We then manipulate the equation using the reciprocal identities to isolate sin(x/2) on one side.

In the second equation, we use the reciprocal identity sec(x) = 1 / cos(x) and the tangent identity tan(x) = sin(x) / cos(x) to rewrite the equation in terms of sine and cosine. By canceling out the common factor of cos(x), we obtain the equation 1 = sin(x).

The third equation, sin(x) = cos(x), indicates that the angle x is either π/4 or 5π/4. This is because the sine and cosine functions are equal at those angles. At π/4, sin(π/4) = cos(π/4) = 1/sqrt(2), and at 5π/4, sin(5π/4) = cos(5π/4) = -1/sqrt(2).

These results demonstrate the values of x that satisfy the given trigonometric equations.

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