4x+y=14, 6x-3y=3 is the question​

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

Read more about Range

brainly.com/question/14209611

#SPJ1

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

For similar question on amount.

https://brainly.com/question/25720319  

#SPJ8

Answer:

n=6/4

Step-by-step explanation:

-4(-6-2n)=30+8n

24+12n=30+8n

-24       =-24

12n=6+8n

-8n =   -8n

4n=6

n=6/4

Answer:

To calculate the interest earned on an investment, we need to subtract the initial investment from the final balance.

The initial investment is $700, and the final balance after 8 years of investment at a rate of 5% is $980.

The interest earned can be calculated as:

Final balance - Initial investment = Interest earned

$980 - $700 = $280

Therefore, the interest earned on the investment of $700 at a rate of 5% for 8 years is $280.

The given inequality 5x - 5y > 70 when written in Slope intercept form is gotten as; y < x + (-14)

The formula for equation of a line in slope intercept form is given by;

y = mx + c

where;

m is slope

c is y-intercept

We are given the inequality as;

5x - 5y > 70

Thus;

Subtract  5x from both sides to get;

-5y > 70 - 5x

divide both sides by -5 to get

y < x + (-14)

Read more about Slope Intercept Form at; https://brainly.com/question/1884491

#SPJ1

The dimensions of a rectangle with area 343000m^3 are 415 m × 826 m

The dimensions of the rectangle with the smallest perimeter

Formula Used:

Area of a rectangle = length × breadth

Perimeter of a rectangle = 2 × (length + breadth)Let's suppose the length of the rectangle is x meters.

Then, its breadth will be 343000/x meters.

Area of the rectangle = length × breadth=> x × (343000/x) = 343000 m²=> 343000/x = breadth

Perimeter of the rectangle = 2 × (length + breadth)= 2 × (x + 343000/x)On further solving the equation, we get:

We can take the derivative of the above function with respect to x and equate it to zero to find the minimum value of the perimeter.

dP/dx = 2 - 343000/x² = 0=> x² = 343000/2=> x = ±415.73

As length cannot be negative, the length of the rectangle is 415 meters.

Applying the value of length in the equation of the breadth we get,

breadth = 343000/415 ≈ 826 meters

Therefore, the dimensions of the rectangle are 415 m × 826 m.

Learn more about dimensions of a rectangle:https://brainly.com/question/28107004

#SPJ11

Answer:

D

Step-by-step explanation:

For example,

5×7-10>20

5(-3)-10<15

Using the binomial distribution, it is found that there is a 0.25 = 25% probability of getting exactly 3 tails.

The formula is:

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

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability of getting 3 tails is P(X = 3), hence:

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

\(P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25\)

0.25 = 25% probability of getting exactly 3 tails.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Answer:

HE HE HE HA HE HE HE HAHEHEHEHEHEHEHHE

The answer for the fraction 1/4 of 100 is 25.

Given,

The fraction; 1/4

We have to find the 1/4 of 100.

Fraction;

A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions

Here,

1/4 of 100 = 1/4 x 100 = 25.

That is,

The answer for the fraction 1/4 of 100 is 25.

Learn more about fractions here;

https://brainly.com/question/17058737

#SPJ1

12

Step-by-step explanation:

6x2=12 just need to multiply LxW and u get ur area

Answer:

C

Step-by-step explanation:

Answer:

Given : A=(1,2)≡(x  

1 ,y  

1

​

) and B=(3,−2)≡(x  

2

​

,y  

2

​

)

Let M=(x,y) be the midpoint of AB

x=(  

2

x  

1

​

+x  

2

​

​

) and  y=(  

2

y  

1

​

+y  

2

​

​

)

Then, x=  

2

1+3

​

and y=  

2

2−2

​

⟹x=2 and y=0

∴M=(2,0)

∴ Coordinates of the midpoint of AB is (2,0)

Step-by-step explanation:

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

Learn more about holding period

brainly.com/question/32568151

#SPJ11

Answer:

-10

Step-by-step explanation:

h(-4) = 2(-4)+7 which equals -1

g(h(-4)) = -1²-9 which equals -10

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

Learn more about supplementary angles here:

brainly.com/question/3027144

#SPJ1

The complete question is as follows:

Find the value of x for the below figure.

The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.

Each payment will have to be $300

We are given : t-1/3 ≥ 25/15

take note that 25/15 is the same as 5 /3 ,

(A) So we can rewrite the above inequality as follows:

t - 1/3≥ 5/3

→ t ≥ 5/3 + 1/3

t ≥ 6/3

∴ t ≥ 2

(B) see the number line below :

(c) interval notation : [ 2;∞)

From the given question,

The given angle is 60 degree.

Now,

Find the x coordinate of the point where the terminal side intersects the unit circle.

So,

We know that the x-coordinate on unit circle represent the cosine and y-coordinate represent the sine function of the given angle.

Then,

The coordinate is,

Where, angle is given 60 degree.

So,

Hence, the option B is correct.

Answer:

25 dollars

Step-by-step explanation:

for fancy flowers you would get 2 flowers at the price of 25 dollars rather then red florist gets you 5 flowers at the price of 25 dollars

hope this helps!

Answer:

It cost $35 for 8 flowers from Fancy Flowers Florist including delivery. At Roses are Red florist, it would be $35 for 7 flowers.

Step-by-step explanation:

5, 10, 15, 20, 25, 30, 35, 40

13, 16, 18, 22, 25, 28, 31, 35

Answer:

x=-6

Step-by-step explanation:

Answer:

x= −6

Step-by-step explanation:

The simplified expression is (3√15 + 3√3 - √75 - 3√5) / 6. Multiply the numerator and denominator by the conjugate of the denominator, which is √15+3.

To rationalize the denominators and simplify the expression √27-√5 / √15-3, we need to eliminate the square roots from the denominators.

First, let's rationalize the denominator √15-3. Multiply the numerator and denominator by the conjugate of the denominator, which is √15+3.

(√27-√5) * (√15+3) / (√15-3) * (√15+3)

Expanding the numerator and denominator, we get:
(√27 * √15 + √27 * 3 - √5 * √15 - √5 * 3) / (√15 * √15 - 3 * √15 + 3 * √15 - 3 * 3)

Simplifying further:
(√405 + 3√27 - √75 - 3√5) / (15 - 9)

Combining like terms:
(3√15 + 3√3 - √75 - 3√5) / 6

Therefore, the simplified expression is (3√15 + 3√3 - √75 - 3√5) / 6.

To know more about expression visit:-

https://brainly.com/question/28170201

#SPJ11

\(V = \pi(3)^2(21)\) is the equation that shows the volume of the given cylinder.

The following formula may be used to determine a cylinder's volume:

\(V=\pi r^2h\)

Where r is the radius of the cylinder's base, h is its height and is a mathematical constant that denotes the ratio of a circle's circumference to its diameter.

We must first determine the radius of the cylinder's base in order to utilize this formula to calculate the fulgurite's volume. The radius is equal to half of the base's diameter, or 3 inches since we know it to be 6 inches.

When we enter the values we are aware of into the formula, we obtain:

\(V = \pi(3)^2(21)\)

Therefore, the expression that represents the volume is \(V = \pi(3)^2(21)\)

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ1

The alternative Hypothesis is that at least one of the mean total cholesterol levels is different from the others in the four groups of subjects.

A researcher can use an analysis of variance (ANOVA) parametric statistical method to determine if the mean total cholesterol level of the population is the same for four groups of subjects (Group 1 = Diet Restriction; Group 2 = Exercise; Group 3 = Both Diet and Exercise; Group 4 = None).

a. Statistical Test is ANOVA.
b. Null Hypothesis is that the mean total cholesterol level of the population is the same for all four groups.
c. Alternative Hypothesis is that the mean total cholesterol level of the population is different for at least one group.

Learn more about Hypothesis  here:

https://brainly.com/question/31319397

#SPJ11

Answer:

Number of marbles with Williams at the starting = 192

Step-by-step explanation:

Let total number of marbles with Williams = m

He lost marbles = 25% of the total number

                           = \(\frac{25}{100}\times m\)

                           = \(\frac{m}{4}\)

Remaining marbles with Williams = m - \(\frac{m}{4}\)

                                                        = \(\frac{3m}{4}\)

He gave marbles to his brother = \(\frac{1}{6}\)th of the remaining marbles

                                                    = \(\frac{1}{6}\times \frac{3m}{4}\)

                                                    = \(\frac{m}{8}\)

Remaining marbles after giving marbles to his brother = 120

Therefore, \(\frac{3m}{4}-\frac{m}{8}=120\)

\(\frac{6m}{8}-\frac{m}{8}=120\)

\(\frac{5m}{8}=120\)

m = \(\frac{120\times 8}{5}\)

m = 192

Number of marbles with Williams at the starting = 192

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

Learn more about null hypothesis here:

https://brainly.com/question/29387900

#SPJ11

The mean of this probability distribution is 1.55.

To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:

mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
    = 0 + 0.37 + 0.32 + 0.78 + 0.08
    = 1.55

Therefore, the mean of this probability distribution is 1.55.

To learn more about probability here:

brainly.com/question/30034780#

#SPJ11

Answer:

171/400 or 0.4275

Step-by-step explanation:

multiply the expressions and simplify

a. There are a total of 676,000 different license plates that can be printed.

b.The vehicle can be ordered in 288 configurations.

c.Jeffrey can make 192 different outfits.

a. To find the number of different license plates that can be printed, we need to calculate the possibilities for each character position.

For the first two characters, each can be any digit from 0 to 9. So, there are 10 possibilities for each position.

For the next two characters, each can be any letter from A to Z. There are 26 letters in the English alphabet, so there are 26 possibilities for each position.

For the last two characters, each can be any letter from A to Z or any digit from 0 to 9. Since there are 26 letters and 10 digits, there are a total of 36 possibilities for each position.

To calculate the total number of different license plates, we multiply the number of possibilities for each position: 10 (for the first digit) * 10 (for the second digit) * 26 (for the third letter) * 26 (for the fourth letter) * 36 (for the fifth character) * 36 (for the sixth character) = 676,000.

b. To determine the number of configurations, we need to multiply the number of choices for each attribute.

For the exterior color, there are 6 options available.

For the interior color, there are 3 options available.

For the option packages, there are 4 options available.

By multiplying these choices together, we get:

6 (exterior colors) * 3 (interior colors) * 4 (option packages) = 72 configurations.

However, each of these configurations can also be ordered with or without an option package, so we need to double the number of configurations.

Therefore, the total number of configurations is:

72 configurations * 2 (with or without option package) = 144 configurations.

c. To calculate the total number of different outfits Jeffrey can make, we need to multiply the number of options for each item of clothing.

Jeffrey has 2 options for jackets, 3 options for shirts, 4 options for trousers, and 8 options for ties. To find the total number of outfits, we multiply these numbers together:

2 (jackets) * 3 (shirts) * 4 (trousers) * 8 (ties) = 192

This means that Jeffrey can make 192 different outfits by choosing any combination of colors/patterns for his jackets, shirts, trousers, and ties.

The multiplication principle, also known as the counting principle, is used to find the total number of outcomes when multiple choices are made independently. In this case, we are assuming that Jeffrey doesn't care about coordinating the different clothing items, so each item can be chosen freely from its available options.

It's important to note that this calculation assumes that Jeffrey will wear only one jacket, one shirt, one pair of trousers, and one tie at a time. If he were to wear multiple items of the same clothing type simultaneously, the number of outfits would be different.

Learn more about Number of different license plates

brainly.com/question/31889594

#SPJ11