Translate the phrase into an algebraic expression. The quotient of y and 4​

Answer:

B because the answer would be 22 14/15

Answer:

y = 18

Step-by-step explanation:

15/-5 = y/-6

cross-multiply:

-5y = -90

y = 18

The inequalities that can represent this situation if m is the number of songs he can buy are:

The above given  inequality accounts for the cost of each song ($1.50) plus the $1.00 activation fee, and it need to be less than or equal to the total amount of $25 on the gift card.

So: 1.5m ≤ 25

Note that this inequality stands for the cost of each song ($1.50) multiplied by the number of songs (m), and it has to  be less than or equal to the total amount of $25 on the gift card.

Hence the options given below are correct.:

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how many students owned either a car or an ipod (but not both): =100−90=10

What is union of sets?

Union of two given sets is the littlest set which contains every one of the components of both the sets.

What is intersection of sets?

Intersection of two given sets is the biggest set which contains every one of the components that are normal to both the sets

What is the recipe for union of two sets?

The union of two sets is given by

n(A∪B) = n(A) + n(B) - n(A∩B)

Where,

An and B are the two sets.

∪ is the union

∩ is the intersection.

n(AUB)=n(A)+n(B)−n(A∩B)

     =80+60−50

=90

number of students owning a car or an ipod=90

number of students neither car nor stereo =100−90=10

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ml = 0 is valid so the sets of quantum numbers are validated or not validated as mentioned above.

Here are the given sets of quantum numbers for the hydrogen atom which need to be validated.

Set 1 (n=3, l=3, ml=0, ms=+1/2) - Valid or Not valid

Set 2 (n=2, l=1, ml=1, ms=-1/2) - Valid or Not valid

Set 3 (n=4, l=1, ml=0, ms=-1/2) - Valid or Not valid

The first step is to understand the set of quantum numbers. Each electron in an atom is assigned a set of four quantum numbers.

The four quantum numbers are: n, l, ml, and ms. The principal quantum number n, the angular momentum quantum number l, the magnetic quantum number ml, and the spin quantum number ms are the four quantum numbers that define the electron's state.

Set 1 (n=3, l=3, ml=0, ms=+1/2)

It is not valid because ml can be from -l to +l, and when l is 3, ml can be -3,-2,-1,0,1,2,3. So, the value of ml should be from -3 to +3.

Set 2 (n=2, l=1, ml=1, ms=-1/2)

It is valid because l = 1, so ml can be -1,0,1. Therefore, ml = 1 is valid.

Set 3 (n=4, l=1, ml=0, ms=-1/2)

It is valid because l = 1, so ml can be -1,0,1. Therefore, ml = 0 is valid.

Thus, the sets of quantum numbers are validated or not validated as mentioned above.

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The key features of the quadratic equation y = - x² - 2x + 1 is  line of symmetry is x = -1; vertex = (h, k) = (-1, 2); y-intercept is (0, 1);  

the domain = -∞ ≤ x ≤ ∞ and the range = 2 ≥ y ≥ -∞.

What are the key features of a quadratic function?

Three properties that are universal to all quadratic functions:

1) The graph of a quadratic function is always a parabola that either opens upward or downward (end behavior);

2) The domain of a quadratic function is all real numbers; and

3) The vertex is the lowest point when the parabola opens upwards; while the vertex is the highest point when the parabola opens downward.

According to the given question:

The given equation is y = - x² - 2x + 1

The general vertex form is y = a·(x - h)² + k

h = -b/(2·a) = 2/(-2) = -1

k = f(h) = -(-1)² - 2×(-1) + 1 = 2

Therefore;

1) The line of symmetry goes through the vertex and the line of symmetry is x = -1

2) The vertex = (h, k) = (-1, 2)

3) The y-intercept is the coordinate of the point where x = 0 which is  

   (0, 1)

4) The domain are the possible x-values, therefore,

    the domain = -∞ ≤ x ≤ ∞

5) The range is the possible values y-values.

    On plotting the graph, we have the range = 2 ≥ y ≥ -∞

Complete question:

Identify the key features of the Quadratic Function y = - x² - 2x + 1

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Answer:

hope the pic below helps :3

Step-by-step explanation:

Answer:-3.5

Step-by-step explanation:

zeros of  y = 2x^2 - x - 21 means in there y=0,

so, and one of them (for example x1=3)

\(2x^{2} -x-21=0\\\)

with Vieta theorem,

x1+x2=-p=x/2

x1*x2=q=-21/2

3*x2=-21/2

x2=-7/2

x2=-3.5

Answer: The value of the other zero for the eq y=2x²-x-21 is -5/2.

Step-by-step explanation:

For a quadratic equation, we can find the sum of the zeros by dividing the coefficient of the linear term by the coefficient of the quadratic term (with the opposite sign).

In the given equation,

coefficient of the quadratic term = 2

coefficient of linear term = -1

∴ Sum of zeros= (-(-1))/2 = 1/2

Since one of the zeros is 3

∴ THE OTHER ZERO = Sum of zeros - Known zero = 1/2 - 3 = -5/2

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Answer:

If a 4-ounce serving of ice cream has 8 grams of sugar, we can use proportional reasoning to find out how many grams of sugar are in a 10-ounce serving and a 16-ounce container.

Let's call the number of grams of sugar in a 10-ounce serving "x". We can set up the following proportion:

4 ounces / 8 grams = 10 ounces / x grams

To solve for x, we can cross-multiply and simplify:

4 * x = 8 * 10

4x = 80

x = 20

Therefore, a 10-ounce serving of ice cream has 20 grams of sugar.

To find out how many grams of sugar are in a 16-ounce container, we can set up another proportion:

4 ounces / 8 grams = 16 ounces / y grams

Cross-multiplying and simplifying:

4 * y = 8 * 16

4y = 128

y = 32

Therefore, a 16-ounce container of ice cream has 32 grams of sugar

Answer:

4³

Step-by-step explanation:

  16 x 4

(4 x 4) x 4 = 64

Answer:

12

Step-by-step explanation:

3 4's

3+3+3+3=12

Hope that helps :)

The value of the function f(x) at x = 1.477.

f(1.477) = 32.857

The value of the function g(x) at x = 20.

g(20) = 1.729

We have,

Two functions:

f(x) = b^x

g(x) = log_b(x)

Now,

From the table,

f(0.699) = b^0.699 = 5

Taking the logarithm of both sides with base b.

log_b(5) = 0.699

b = 5^(1/0.699)

b = 8.343

Now, we can find the value of f(1.477).

f(1.477) = b^1.477 = 8.343^1.477 = 32.857

Similarly, we can find the value of g(20).

g(20) = log_b(20) = log_8.343(20) = 1.729

Thus,

The value of the function f(x) at x = 1.477.

f(1.477) = 32.857

The value of the function g(x) at x = 20.

g(20) = 1.729

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Answer:

  1.75%

Step-by-step explanation:

The monthly interest rate is the interest amount divided by the base on which it is computed, expressed as a percentage.

  $4.96/$283.15 × 100% ≈ 1.75172% ≈ 1.75%

The expression why represents the amount of money he has saved after 8 weeks is y = 304 - 8g

Given:

The expression which represents the amount of money he has saved after 8 weeks = (Amount Mike earns per week × Number of weeks) - (Amount spent on gas each week × Number of weeks)

y = (38 × 8) - (g × 8)

y = 304 - 8g

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Answer:

8

Step-by-step explanation:

g(12) = 5/4(12)-7 = 15-7 = 8

It is true that one method of conducting a survey involves selecting a sampling of a representative group of people. This is called survey sampling.

Survey sampling is defined as a statistical method that involves selecting and surveying individuals from a particular group of people. The population that is chosen to survey could be based on a range of attributes. The target audience could be a general group like the United States' population or a more specific group, like young adults, voters in California, or male pet owners from New England.

Survey sampling involves three steps, which are:

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The descriptors that are applicable for factor by grouping is 4 terms and 3 terms.

What is group factorization?

Factorization by grouping requires that we first group the terms according to their common factors. Method of factorization by term grouping:

(i) A factor can be extracted from each group of the supplied expression's groupings.

(ii) Factorize each group.

(iii) Next, eliminate the factor shared by the newly created group.

To factorize 4 terms use the method -

The first step is to group the first and last two terms together.

Then create a GCF by factoring each individual binomial.

Factor out the common binomial in step three.

To factorize 3 terms use the method -

Factoring out the GCF of the full phrase is the first step (from all 3 terms). There might not always be a GCF to account for (that is, the GCF is 1).

Next, select two terms to think about jointly (we may need to split a term into two parts). Subtract the two terms' GCFs.

Consider the remaining terms along with the factored pair and determine if there is any additional factoring that can be done (if anything).

A binomial cannot be factored by factor by grouping method as it contain only two terms which doesn't require further factoring using grouping method.

Both terms are not always perfect squares, there can be times when the factors are written as roots.

Therefore, descriptors are 4 terms and 3 terms.

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Answer:

Step-by-step explanation:

if 2x-7=3

2x=3+7

2x=10

x=5

then

3(5)+1=16

Greetings from Brasil...

According to the properties of potentiation:

(aⁿ . bⁿ) = (a . b)ⁿ

then

160 = 16 . 10

160³ = (16 . 10)³ = 4096000

The specific heat of the given sample is approximately 239.6 J/(kg·°C). This value indicates the amount of heat energy required to raise the temperature of 1 kilogram of the sample by 1 degree Celsius.

To determine the specific heat of the given sample, we can use the formula Q = mcΔT, where Q is the heat energy added, m is the mass of the sample, c is the specific heat, and ΔT is the change in temperature. By rearranging the formula, we can solve for c.

In this case, we are given the heat energy Q = 1.25 × 10^4 J, the mass m = 28.4 N (weight in newtons), and the change in temperature ΔT = 18.0 °C. To calculate the specific heat c, we rearrange the formula Q = mcΔT and solve for c.

First, we convert the weight from newtons to kilograms by dividing it by the acceleration due to gravity (9.8 m/s^2). So, the mass of the sample in kilograms is 28.4 N / 9.8 m/s^2 = 2.90 kg.

Substituting the given values into the formula, we have 1.25 × 10^4 J = c × 2.90 kg × 18.0 °C. Now, we can solve for c by dividing both sides of the equation by (2.90 kg × 18.0 °C):

c = (1.25 × 10^4 J) / (2.90 kg × 18.0 °C) ≈ 239.6 J/(kg·°C).

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Answer:

380 miles

Step-by-step explanation:

First, find 62% of 1,000:

1,000 • .62 = 620 miles

Next, subtract 620 from 1,000:

1,000 - 620 = 380 miles

The family had traveled 380 miles before Kiran fell asleep

Answer: for C it is that 1/2 is half of an whole therefore 1/2 is  half is less than the rest

for D you will have to add more 1/2 for it to be greater than but for now, it is less than.

for E you will have to add more 1/2 for it to be greater than

To find out how far a car will travel (in feet) before a driver reacts to an obstacle, given that the car is moving at 34 miles per hour in a residential neighborhood, we need to convert the speed of the car from miles per hour to feet per second. This can be done using the conversion factor that 1 mile per hour is equal to 1.46667 feet per second. Therefore, 34 miles per hour is equal to 34 x 1.46667 = 49.86678 feet per second.

We know that the average reaction time of the driver is 1.2 seconds, and we can use the following formula to calculate the distance traveled by the car before the driver reacts to the obstacle:

d = v x t

where d is the distance, v is the velocity, and t is the time taken. Using the formula above, we can calculate the distance traveled by the car before the driver reacts to the obstacle as:

d = 49.86678 x 1.2 = 59.84014 feet

Therefore, the car will travel 59.84014 feet before a driver reacts to an obstacle.

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Answer:

13 candies

Step-by-step explanation:

See attached image.

Answer: 14

Step-by-step explanation: To find the mean you have to add the two numbers and divide by the amount of numbers (which is 2). 14 plus 2 is equal to 16. and 16 divided by two is equal to eight

To develop a 95% confidence interval estimate of the population mean rating for Miami International Airport, the student would need to use the sample data obtained from the 50 business travelers. The steps to develop the confidence interval would include the following:

Calculate the sample mean: The mean of the sample data would be calculated by summing all of the ratings and dividing by the sample size (n = 50).

Calculate the standard deviation: The standard deviation of the sample data would be calculated to estimate the variability of the data.

Calculate the standard error: The standard error of the mean would be calculated by dividing the standard deviation by the square root of the sample size (n = 50).

Calculate the critical value: The critical value would be calculated based on the desired confidence level (95%) and the degrees of freedom (n - 1 = 49). The critical value would be used to determine the width of the confidence interval.

Develop the confidence interval: The lower and upper bounds of the confidence interval would be calculated by subtracting and adding the critical value to the sample mean, respectively.

The resulting confidence interval would give an estimate of the population mean rating for Miami International Airport with a 95% level of confidence. The interpretation of the confidence interval would be that if the sampling process were repeated many times, 95% of the resulting confidence intervals would contain the true population mean.

It is important to note that this process assumes that the sample was taken using simple random sampling techniques and that the data follows a normal distribution.

Therefore, The interpretation of the confidence interval would be that if the sampling process were repeated many times, 95% of the resulting confidence intervals would contain the true population mean.

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To develop a 95% confidence interval estimate of the population mean rating for Miami International Airport, the student would need to use the sample data obtained from the 50 business travelers. The steps to develop the confidence interval would include the following:

Calculate the sample mean: The mean of the sample data would be calculated by summing all of the ratings and dividing by the sample size (n = 50).

Calculate the standard deviation: The standard deviation of the sample data would be calculated to estimate the variability of the data.

Calculate the standard error: The standard error of the mean would be calculated by dividing the standard deviation by the square root of the sample size (n = 50).

Calculate the critical value: The critical value would be calculated based on the desired confidence level (95%) and the degrees of freedom (n - 1 = 49). The critical value would be used to determine the width of the confidence interval.

Develop the confidence interval: The lower and upper bounds of the confidence interval would be calculated by subtracting and adding the critical value to the sample mean, respectively.

The resulting confidence interval would give an estimate of the population mean rating for Miami International Airport with a 95% level of confidence. The interpretation of the confidence interval would be that if the sampling process were repeated many times, 95% of the resulting confidence intervals would contain the true population mean.

It is important to note that this process assumes that the sample was taken using simple random sampling techniques and that the data follows a normal distribution.

Therefore, The interpretation of the confidence interval would be that if the sampling process were repeated many times, 95% of the resulting confidence intervals would contain the true population mean.

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