The sum of four consecutive integers is -118. What is the largest of the integers?

Answer:

4 times 3 equals 12 minus 1 is 11/12  the one you chose is right i hope you dont fail algebra cuz of me

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

y = - x + 4 ( add x to both sides )

x + y = 4

with A = 1, B = 1, C = 4

(2)

y = 5x + 7 ( subtract y from both sides )

0 = 5x - y + 7 ( subtract 7 from both sides )

- 7 = 5x - y , that is

5x - y = - 7

with A = 5, B = - 1, C = - 7

----------------------------------------------------------

(1)

2x + y = 9 ( subtract 2x from both sides )

y = - 2x + 9

with m = - 2, c = 9

(2)

5x + 2y = 7 ( subtract 5x from both sides )

2y = - 5x + 7 ( divide terms by 2 )

y = - \(\frac{5}{2}\) x + \(\frac{7}{2}\)

with m = - \(\frac{5}{2}\) , c = \(\frac{7}{2}\)

The maximum and minimum values of f(x, y) = x² + 9y on ellipse 4x² + 9y² = 9 is  (\(\frac{3\sqrt{-3} }{2}, 2\)).

A function is a relationship between two values, x from the first set and y from the second set. The greatest value of a function is regarded as the function's maximum value, while the lowest value is regarded as the function's minimum value.

The following procedures should be taken in order to determine a function's maximum and lowest values: Find the roots of the differentiated function, the first derivative of the function, and the critical point. Apply the crucial result from the function's second derivative to the provided function's second derivative to find its second derivative. If the critical point replaced in the second derivative is positive or negative, find the maximum/minimum value by replacing the points at which the original function reaches either of its critical values.

First, we solve the constraint function for x² so we can simplify f(x,y) into f(y).

4x² + 9y² = 9

x² = 9-9y²/4

We then substitute the equation for x² into the function and simplify.

f(y) =  x² + 9y

f(y) = 9-9y²/4 + 9y

f(x) = 9-9y²/4 + 9y

f'(x) = -9y/2 + 9

0 = -9y/2 + 9

-9 = -9y/2

y = 2

f(x) = 9-9y²/4 + 9y

f'(x) = -9y/2 + 9

f"(x) = -9/2

4x² + 9y² = 9

4(x)² + 9(2)² = 9

4x² = 9 - 36

4x² = -27

x² = -27/4

x = \(\frac{3\sqrt{-3} }{2}\)

The maximum and minimum function occurs at the point is (\(\frac{3\sqrt{-3} }{2}, 2\)).

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Answer:wee woo

Step-by-step explanation:sweg

B 63 square units

is the answer your welcome :)

The standards that use 2.4 GHz are:

A wifi standard defines two characteristics of the wi-fi network, which are speed and frequency.

Such that there are two common frequencies, 2.4 GHz (usually with larger speed) and 5 GHz (usually with lower speed)

The standards that use 2.4 GHz are:

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Answer:

The answer is 6

Where the above are given,

10. The nurse should give 2.45ml of the liquid medication.

11. The nurse can give 24ml of meperidine in 24 hours.

12. The patient should take 42 tablets of the antibiotic.

13. The IV rate is 100ml/hr at 1500gtt/min with a 15gtt/ml drip factor.

14. Each dose of codeine contains 15000mg.

15. The patient should be given 2.67oz (approximately) of the cough syrup.

10. To determine how much   of the liquid should be given, we can set up a  proportion

1g/3.5ml = 700mg/x

Cross-multiplying,

1g * x = 700mg * 3.5ml

x = (700mg * 3.5ml) / 1g

x = 2450mg*ml/g

Therefore, the amount of liquid to be given is 2.45ml.

11. The order states meperidine 75mg IM every 6 hours PRN pain, and the pharmacy sends a vial that contains 25mg/2ml. To calculate how many ml can be given in 24 hours, we need to consider the frequency and duration.

In 24 hours, there are 24/6 = 4 doses to be given. Each dose contains 75mg of meperidine.

To find the volume (ml) of each dose, we can set up a proportion  -

25mg/2ml = 75mg/x

25mg * x = 75mg * 2ml

x = (75mg * 2ml) / 25mg

x = 6ml

12.  To calculate the number of tablets the patient should take, we need to consider the dosage and the duration.

Each tablet contains 250mg of the antibiotic.

To find the number of tablets for the total dosage, we can set up a proportion  -

250mg/1 tab = 0.75g/x

250mg * x = 0.75g * 1 tab

x = (0.75g * 1 tab) / 250mg

x = 0.003 tab

Since we cannot take a fraction of a tablet, the patient should take 1 tablet every 4 hours for 7 days, resulting in a total of 1 * 6 * 7

= 42 tablets.

13.  To determine the IV rate, we need to calculate the number of drops per minute.

The formula to calculate the IV rate in drops per minute (gtt/min) is -

IV rate (ml/hr) = Total volume (ml) / Total time (hr)

IV rate (gtt/min) = IV rate (ml/hr) * Drop factor (gtt/ml)

IV rate (ml/hr) = 1000ml / 10hr = 100ml/hr

IV rate (gtt/min) = 100ml/hr * 15gtt/ml =

1500gtt/min

Therefore, the IV rate is 100ml/hr at 1500gtt/min.

14. To determine the   amount of milligrams of  codeine in each dose, we need to convert grams to milligrams.

1  gram (g) = 1000   milligrams (mg)

15 grams (gr) = 15 * 1000mg = 15000mg

Therefore, each dose contains 15000mg of codeine.

15. To calculate how much cough syrup should be given in ml's, we can set up a proportion -

225mg/1oz = x ml/600mg

225mg * x = 1oz * 600mg

x = (1oz * 600mg) / 225mg

x = 2.67oz

Therefore, 2.67oz of cough syrup should be given in ml's.

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Answer:

D

Step-by-step explanation:

You have 2 5 12 13 right triangles.

x = 2 * 5

x = 10

Answer:

D. \(x=10\)

Step-by-step explanation:

You can use the Pythagorean Theorem, \(a^2+b^2=c^2\), where a and b are the legs and c is the hypotenuse.

\(12^2+b^2=13^2\\144+b^2=169\)

Subtract 144 from both sides

\(b^2=25\)

Square root both sides

\(b=5\)

\(2b=x\\b=5\\x=10\)

Answer:

5,6,7

Step-by-step explanation:

the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4

Answer:

the one that looks like a v

Step-by-step explanation:

bc for every y-input, there is only one output-x

The probability to be evaluated is given to be:

I think it's trying to get you to find the side length of the square by using a square root on the area.

Assuming that's the case;

Remember that a square has equal side lengths all around, otherwise it would just be a rectangle. You can actually take the square root of a square to get the side length (hence the name square root). A square root is what number you must multiply by itself to get the root, so for example the square root of 25 is 5 because you can multiply 5 by 5 to get 25. The square root of 100 is 10, because you can multiply 10 by itself to get 100. So you would write this as \(\sqrt{100}\), which simplifies down to 10.

Answer:

x > -2/5

Step-by-step explanation:

To solve this, you need to divide -5 on both sides to isolate x.

-5x < 2

x > -2/5

Because we divided by a negative number, the sign has to change direction.

Answer:

In a significance test, the statement we want to prove or test is called the alternative hypothesis.

Step-by-step explanation:

The alternative hypothesis, denoted as H1 or Ha, is a statement that contradicts or challenges the null hypothesis (H0). It represents the researcher's claim, expectation, or the hypothesis they are interested in supporting. The alternative hypothesis proposes that there is a significant relationship, effect, or difference between variables or conditions.

The null hypothesis, on the other hand, is the default assumption or statement of no effect or no difference. It assumes that any observed difference or relationship in the data is due to chance or random variation.In a significance test, statistical analysis is performed to evaluate the evidence against the null hypothesis and determine if there is sufficient evidence to support the alternative hypothesis. The analysis typically involves calculating a test statistic and comparing it to a critical value or p-value.

If the observed data provide strong evidence against the null hypothesis, the alternative hypothesis is supported, indicating that there is a statistically significant relationship, effect, or difference. If there is insufficient evidence to reject the null hypothesis, the alternative hypothesis is not supported.

It's important to note that in a significance test, the goal is to gather evidence to support the alternative hypothesis rather than proving it definitively. Statistical inference allows researchers to make conclusions based on the available evidence and quantify the level of confidence in their findings.

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Answer:

Below in bold.

Step-by-step explanation:

Radius of the pizza = 1/2 * 8 = 4 in.

Area of the whole pizza = π r^2

=  π * 4^2

= 8 π

So if you take 1/8 away

the area left = 7/8 * 8 * π

= 7π

Taking π to be 22/7:

= 7 * 22/7

= approximately 22 in^2.

A correlation coefficient is consistently a number between 1 and - 1 .

The correlation coefficient is a factual measure that demonstrates the strength and heading of the straight connection between two factors. It goes from - 1 to 1, where - 1 addresses a completely bad correlation (i.e., as one variable expands, different declines), 0 addresses no correlation, and 1 addresses an entirely sure correlation (i.e., as one variable builds, the other likewise increments).

The indication of the correlation coefficient demonstrates the heading of the relationship, while the extent of the coefficient shows the strength of the relationship. A correlation coefficient of 0 shows no straight connection between the factors, while values nearer to - 1 or 1 demonstrate a more grounded direct relationship.

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The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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The result is (x + 8).

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

x² + 12x + 32 and g(x) = x + 4.

Now,

(f/g)(x)

= (x² + 12x + 32) / (x + 4) _____(1)

Now,

We can factorize x² + 12x + 32.

x² + 12x + 32

= x² + (8 + 4)x + 32

= x² + 8x + 4x + 32

= x(x + 8) + 4(x + 8)

= (x + 4) (x + 8) ______(2)

From (1) and (2),

(f/g)(x)

= (x² + 12x + 32) / (x + 4)

=  (x + 4) (x + 8) / (x + 4)

= x + 8

Thus,

The result is (x + 8).

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Answer:

The number is 72.

Step-by-step explanation:

Let the number be xy.

x = y + 5

10x + y - 2(10y + x) = 0.25(10x + y)

10x - 2x + y - 20y = 2.5x + 0.25y

5.5x - 19.25y = 0

Substituting for x:

5.5y + 27.5  - 19.25y = 0

-13.75y = -27.5

y = 2.

So x = 2 + 5 = 7.

Answer:

Bottom(equation 3)=No solution

Middle(equation 2)= Infinite solutions

Top(equation 1)=1 solution

Step-by-step explanation:

Brainly pls I hope this helps

The ratio of Cost of grocerie to cost of vegetable 4:1 .

What is the cost?

Cost is the amount of money spent by a business to produce or create goods or services. It excludes the profit margin markup.

                      Cost is the sum of money spent on making a good or product, as seen from the seller's perspective.

Given that,

Spent $4.80 on groceries and $1.20 on vegetables.

Total cost = 4.80 + 1.20

Total cost = $6.00

a. Cost of groceries to cost of vegetables;

Ratio = 4.80 / 1.20 = 4 / 1

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Answer:

54 and 42

Step-by-step explanation:

add 9 and 7

use your answer as a denominator

to find the value for 9 you do 9/16 *96

which will give you 54

then do the same for 7 but replace the 9 with seven

The greatest acceleration when the unbalanced force is applied will be experienced by the least weighted box ( i.e., the mass of 2 kg)

Acceleration: it is defined as rate of change of velocity with respect to time.

Unbalanced Force:  it means that the force applied in one direction is greatest than the force applied in the opposite direction.

Given that, F = 8n.

let us assume that the boxes are of 2kg, 4 kg, 6 kg and 8 kg.

According to the 2nd law of motion: the external unbalanced force is directly proportional to rate of change of momentum or Force is equal to the product of mass and acceleration.

                         F = m × a

                 ⇒     a = F/ m

where,  F is Force, m is mass and a is acceleration.

Now, acceleration of the box of 2kg = 8÷2 = 4 m/s²

         acceleration of the box of 4kg = 8÷ 4 = 2 m/m²

         acceleration of the box of 6 kg = 8÷ 6 = 1.34 m/s²

         acceleration of the box of 8kg = 8÷ 8 = 1 m/s²

∴ the box with mass of 2kg experience the greatest acceleration.

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Answer:

54/324

Step-by-step explanation:

Multiply probability of first event (6/18) by probability of second (9/18), you can then simplify if you need to to 1/6 or leave it as 54/324

Answer: 6

Step-by-step explanation:

The typical way to solve this problem is with the Pythagorean Theorem, which states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle, and c is the hypotenuse.  Unfortunately, due to a lack of a diagram, I am forced to infer.

Because the most famous Pythagorean triplet is 3, 4, 5, and 8 and 10 are multiples of the latter two terms, I can infer that the final side length is 6.

Hope it helps :) and if it is wrong, please let me know, and repost another question with the provided diagram.

Answer:

In attachment

Step-by-step explanation:

See attachment

BMW of North America recalled certain vehicles with possibly defective head airbags in February 2018, and claimed that 4% of the recalled vehicles actually had defective airbags. Let X be the number of vehicles that have defective airbags out of six selected vehicles. The probability of a defective airbag is 4%, while the probability of a non-defective airbag is (1-0.04) = 0.96.

Using the binomial probability formula, the probability of x successes in n independent trials with the probability of success p is given by P(x) = nCx px(1 - p)n-x, where nCx represents the number of ways to choose x items from n distinct items. In this case, x = 0 (i.e., none of the six vehicles have a defective airbag), p = 0.04, and n = 6. Hence, we have:

P(0) = 6C0 (0.04)0 (0.96)6-0= 1(1)(0.96)6= 0.850 (approx)

Therefore, the probability that none of the six vehicles has a defective airbag is approximately 0.850.

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The terms that could have a greatest common factor of 5m²n² are:

1. 5m⁴n³

2. 15m²n²

The greatest common factor (GCF) represents the largest term that can divide evenly into multiple terms. In this case, the given GCF is 5m²n².

In order to find which terms will have GCF, we can find the terms that have factors of 5, m² and n². In the options, "5m⁴n³" and "15m²n²" can meet this condition. In the other term "5m⁴n³" will have factor of 5 and higher powers of m and n. But the term "15m²n² have a factor of 5 with smaller power of m and n. This signify the terms might have a GCF of 5m²n².

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Answer:

A 50% increase

Step-by-step explanation:

Area = length x breadth

Let illustrate this with an example

original dimensions

length = 4

breadth = 5

area = 4 x 5 = 20

new dimensions

length = 4/2 = 2

breadth = 5 x 3 = 15

area = 15 x 2 = 30

Percentage change = 30 - 20 / 20 x 100 = 50%