need help explain and answer​

The correct answer on the equation representing Kona's mother's age is option a) K² - 4.

Let M represent the Kona's mother's age = M = K² - 4.

Now substitute the value by taking Kona's age be 10.

= 10² - 4

= 100 - 4

=96.

Since the difference is Kona's age squared with subtracting 4.

The problem states that Kona's mother's age is the difference between Kona's age squared and four, We are given that the K represents Kona's age. Therefore, the expression for Kona's mother's age can be written as  K² - 4. This is because we substitute the K for the Kona's age and square it, then subtract four to find the mother's age. Hence the correct is option A. The difference code refers to the answer or result formed after subtracting the given equation or expression.

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Complete question

Kona's mother realized that her age is the difference of Kona's age squared and four. If K represents Kona's age, which expression represents Kona's mother's age? a) K² - 4 b) K³ - 4 c) K² + 4 d) K³ + 4

Answer: 147m

Step-by-step explanation: the tower's height can be calculated using the following equation: height = (shadow length/pole shadow length) * pole height Therefore, the tower's height is: height = (45.5/1.01) * 2.8 height = 146.5 m The tower's height is approximately 147 m, rounded to the nearest meter

The value of x and y is -2 and 5

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

Using elimination method

y =−4x−3 equation 1

y=−2x + 1 equation 2

subtract equation 1 from 2

0 = 2x +4

collect like terms

2x = -4

x= -4/2

x = -2

substitute -2 for x in equation 1

y = -4(-2)-3

y = 8 -3

y = 5

therefore the value of x and y are -2 and 5 respectively.

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The value of x in the polygon is 30

from the question, we have the following parameters that can be used in our computation:

Exterior angles = x, 2x, 4x, 5x, 8x, and 10x.

The sum of exterior angles of a polygon is 360

Using the above as a guide, we have the following:

x + 2x + 4x + 5x + 8x + 10x = 360

Evaluate the like terms

30x = 360

So, we have

x = 12

Hence, the value of x is 12

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Answer:

3

Step-by-step explanation:

The measure of each angle is [tex]3(75)-100=125^{\circ}[/tex].

Answer:

15

Step-by-step explanation:

(i) The average values for the variables andre, pri gpa, and act is sum of all the values divided by the total number of values.

(ii) The model atenderte 5 b0 1 b1 prigpa 1 b2act 1 u in equation form  is atenderte = b₀ + b₁ x prigpa + b₂ x act + u

(iii) The slope coefficients is  b₁ and b₂

(iv) The predicted atenderte if prigpa 5 3.65 and act 5 20 is atenderte = b₀ + b₁ x 3.65 + b₂ x 20 + u

(v) if student a has prigpa 5 3.1 and act 5 21 and student b has prigpa 5 2.1 and act 5 26, then the predicted difference in their attendance rates is  0.5

In this exercise, we will be exploring a regression model that predicts the attendance rate of students based on their academic performance variables. We will be using three variables to predict the attendance rate: "andre", "pri gpa", and "act". Here are the answers to the questions:

(i) To obtain the minimum, maximum, and average values for the variables "andre", "pri gpa", and "act", we need to first look at the data. The minimum value is the smallest value for each variable, the maximum value is the largest value for each variable, and the average value is the sum of all the values divided by the total number of values.

(ii) The regression model that predicts the attendance rate is written in equation form as

=> "atenderte = b₀ + b₁ x prigpa + b₂ x act + u".

This equation means that the predicted attendance rate (atenderte) is equal to the intercept (b₀) plus the product of the coefficient for "pri gpa" (b₁) and the value of "pri gpa" plus the product of the coefficient for "act" (b₂) and the value of "act".

(iii) The estimated slope coefficients (b₁ and b₂) tell us the expected change in the attendance rate for each one-unit increase in "pri gpa" or "act". If b₁ is positive, it means that as "pri gpa" increases, the attendance rate is expected to increase. Similarly, if b₂ is positive, it means that as "act" increases, the attendance rate is expected to increase.

(iv) To find the predicted attendance rate if "pri gpa" is 3.65 and "act" is 20, we can substitute these values into the regression equation:

atenderte = b₀ + b₁ x prigpa + b₂ x act + u

atenderte = b₀ + b₁ x 3.65 + b₂ x 20 + u

This will give us the predicted attendance rate for a student with "pri gpa" of 3.65 and "act" of 20. If there are any students in the sample with these values of the explanatory variables, then their actual attendance rate should be close to the predicted value.

(v) To find the predicted difference in attendance rates between student A (with "pri gpa" of 3.1 and "act" of 21) and student B (with "pri gpa" of 2.1 and "act" of 26), we can first use the regression equation to predict the attendance rates for each student:

Student A:

atenderteA = b0 + b1 x 3.1 + b2 x 21 + u

Student B:

atenderteB = b0 + b1 x 2.1 + b2 x 26 + u

Then, we can take the difference between the predicted attendance rates for each student:

=> atenderteA - atenderteB

=> 52.6 - 52.1 = 0.5

This will give us the predicted difference in attendance rates between the two students.

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Answer:

Step-by-step explanation:

its C

Answer:

(12m+10)(2m-2)

hope this helps

1) Note that the volume of water that was already in the pool when the hose was turned on today is 2000 gallons of water.

2) The equation that represents the relationship between the volume of water in the pool in gallons "V) and the elapsed time in hours, t, since the hose was turned on today is V = 800t + 2000.

Note that to get the right expression above we have to solve for the slope of the graph.

1) To arrive at the answer in 1 above, we only have to examine the y-intercept. since at time (t) =0 the volume of water (gallons) indicated on the graph is 2000 gallons, thus, it is correct to state that:

"the volume of water that was already in the pool when the hose was turned on today is 2000 gallons of water."

2) From the graph, we can see the equation must be linear.
That is:

y = mx + b

Where y = V = Volume of Water in the Pool in Gallons

m = Slope

x = t = elapsed time in hours
b = y- intercept = already given as 2000

Thus:

To get m (slope) we need to use the above equation:
m = rise/run = y2-y1/x2-x1

Take
y1 = 6000

y2 = 10,000

x1 = 5

x2 = 10

Substituting the given values, we get:

m = (10,000 - 6,000) / (10 - 5)

m = 4,000 / 5

m = 800

Therefore, the slope of the line passing through the points (5, 6000) and (10, 10,000) is 800.
Having derived m, the full expression is thus given as:

V = 800t + 2000.

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Full Question:
See attached for full question

Hugh poured 100 kilograms of water into 10 kg of salt. He made 110 kilograms of 9.09 % salt solution.

To find the mass of the solution add the mass of salt and the mass of the solution. To find the concentration of the solution divide the salt mass by the total mass of the solution and multiply by 100.

Here we have  

Hugh poured 100 kilograms of water into 10 kg of salt.

After adding 100 kilograms of water to 10 kg of salt.  

The total mass of the solution = 100 + 10 = 110 kg

The concentration of salt

= [ Mass of salt/ Mass of solution] × 100

= [ 10/110] × 100 = 9.09%      

Therefore,

Hugh poured 100 kilograms of water into 10 kg of salt. He made 110 kilograms of 9.09 % salt solution.  

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Step-by-step explanation:

since you know already that you need the law of cosine (which is nothing else than the generalization of Pythagoras from right-angled triangles to general triangles), why don't you just apply it ?

the law of cosine :

c² = a² + b² - 2ab×cos(C)

c is the side opposite of angle C, a and b are the other 2 sides.

our angle C is here now the angle QPR. the opposite side is QR = 3.

so, we have

3² = 2² + 4² - 2×2×4×cos(QPR) = 4 + 16 - 16×cos(QPR)

9 = 20 - 16×cos(QPR)

-11 = -16×cos(QPR)

cos(QPR) = -11/-16 = 11/16 = 0.6875

FYI : that means

angle QPR = 46.56746344...°

The 92nd term of the arithmetic sequence 8, 25, 42, ..... is equal to 1,555.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 25 - 8

Common difference, d = 17

Substituting the given parameters into the formula, the 92nd term of this arithmetic sequence is given by;

a₉₂ = a₁ + (92 - 1)d

a₉₂ = 8 + (91)(17)

a₉₂ = 8 + 1,547

a₉₂ = 1,555.

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Answer:

she mostly likely found 1 result .

The function f(x) is translated 3 units right and 5 units down then the function f(x) is coincident with the function g(x).

A function is an assertion, conception, or regulation that establishes a partnership between two variables.

The functions f(x) and g(x) are given below.

f(x) = 1 / x

g(x) = 1 / (x - 3) - 5

Translate the function 3 units right, then replace x with (x - 3). And translate the function 5 units down, then replace f(x) with (g(x) + 5). Then we have

g(x) + 5 = 1 / (x - 3)

g(x) = 1 / (x - 3) - 5

The function f(x) is translated 3 units right and 5 units down then the function f(x) is coincident with the function g(x).

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Using, the mathematical inequalities, we can conclude that the total number of occupied rooms on Friday is 10.

Number of rooms in the inn = 10

It is given that One-half of the rooms are reserved for Friday which means 5 rooms were initially reserved on Friday.

Now, 12 more rooms are reserved for Friday.

So, the Initial reservation for Friday = 5

Final reservations for Friday = 5 + 12 = 17

Now, Final reservations for Friday(17) > Total number of rooms in the inn(10).

As the reservation exceeds the capacity of the hotel, 7 reservations will be cancelled and all 10 rooms will be occupied on Friday.

Hence, the total number of occupied rooms on Friday is 10.

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An algebraic expression that represents the number of crayons that Jeremiah has is: B. 2s + 3.

In order to write an equation that model this situation, we would assign variables to the total number of pencils that Jeremiah has and the total number of pencils that Spencer has respectively, and then translate the word problem into algebraic equation as follows:

Since Jeremiah has three more than twice as many pencils as Spencer, a linear equation that models this situation correctly include the following:

J = 2s + 3

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The critical value if the hypothesis is to be tested at the 0.05 level of significance is 1.96 . So, option C is the correct answer.

To test the hypothesis that Woof Chow has a market share of 25%, we need to conduct a hypothesis test with the null hypothesis that the true proportion of dog owners who use Woof Chow is 0.25, and the alternative hypothesis that the true proportion is not 0.25.

Since the sample size n is large (n = 100), we can use the normal distribution to perform this test. The critical value for a two-tailed test at the 0.05 level of significance is given by:

z_critical = ±1.96

This value corresponds to the 2.5th and 97.5th percentiles of the standard normal distribution. The critical value is ±1.96 because we want to be 95% confident that the true proportion of dog owners who use Woof Chow is within a certain range, and the 95% confidence interval corresponds to two standard deviations from the mean.

To determine whether or not to reject the null hypothesis, we would calculate a test statistic (z-score) based on the sample proportion, and compare it to the critical value. If the test statistic falls outside the critical value, we would reject the null hypothesis and conclude that Woof Chow does not have a market share of 25%.

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Answer:

Step-by-step explanation:

You want the lateral area, base area, and total area of a square pyramid with a base 3 ft on a side and a slant height of 4 ft.

The area of one triangle is ...

  A = 1/2bh

  A = 1/2(3 ft)(4 ft) = 6 ft²

Then the area of the four triangular faces is ...

  area of triangles = 4×6 ft² = 24 ft²

The area of the square base is ...

  A = s²

  A = (3 ft)² = 9 ft²

The area of the square base is 9 ft².

The total surface area is the sum of the lateral area and the base area:

  total surface area = area of triangles + area of square = 24 ft² +9 ft²

  total surface area = 33 ft²

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Answer:

2

Step-by-step explanation:

the prime factorization of the number 90 is

2, 3, 3, 5

Answer:

roughly 88 but 87.9645943005...

Step-by-step explanation:

First, the formula for the circumference of a circle is 2pi(r), so plugging in 14 yards, you get 28pi roughly 88 but for an actual answer 87.9645943005

a) The probability that at most one is a six is 5/6.

b) The probability that at most one is a six is 2/3.

In the question two dice are rolled in a random experiment and we have to find what is the probability that at most one is a six and if the two faces are different, what is the probability that at most one is a six.

a) The probability that at most one is a six is 5/6. There are only 6 possible outcomes when rolling two dice, and 5 of those outcomes involve at most one six: (1,2), (1,3), (1,4), (1,5), (2,5).

b) The probability that at most one is a six is 2/3. If the two faces are different, there are only 3 possible outcomes: (1,2), (2,3), (3,4). 2 of those outcomes involve at most one six: (1,2), (2,3). Thus, the probability is 2/3.

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The statement "The margin of error is a key component of a confidence interval, as it reflects the uncertainty in the estimate due to sampling error." is true

A confidence interval is a range of values that likely contains the true value of a population parameter, such as the mean or proportion. It is created by taking a sample from the population and calculating a point estimate, such as the sample mean or proportion.

To account for this uncertainty, we use the concept of a margin of error, which represents the maximum amount by which the point estimate could be off from the true parameter.

The sample size refers to the number of observations in the sample. The larger the sample size, the more precise the estimate is likely to be, since there is less variability and sampling error.

The level of confidence refers to the degree of certainty that the true parameter lies within the confidence interval. A higher level of confidence means a wider interval, since we need to be more certain that the true parameter is included.

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Answer: the initial points is 30.
and per pair of shoes is 15.

Step-by-step explanation:

If the circumference of a circular field is 308 m, then it's Area is (b) 7546 m²  .

The formula for the Circumference of circle is = 2πr  ; Where r is = radius ;

The circumference is 308m, so we substitute in the required value and solve for r  ;

⇒ 308 = 2πr

⇒ r = 308/(2π)

⇒ r = 49  ;

Now that we have the radius, Next , we use the formula for the area of a circle to find the area  ;

The area of circle is ⇒ Area = πr² ;

Substituting in the value of radius(r) , we get ;

⇒ Area = π(49)²  ;

⇒ Area = 7546 m²   ;

Therefore , area of the circular field is 7546 square meters.

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The given question is incomplete , the complete question is

The circumference of a circular field is 308m, Find its Area .

(a) 7050 m²

(b) 7546 m²

(c) 7946 m²

(d) 8129 m²

Answer:

Step-by-step explanation:

You are currently converting speed units from foot per minute to miles per hour 1 ft/min = 0.011363636 mph foot per minute ft

so 0.011363636 times 2000 equals 27.727272

so your answer is [B]

The number of choices for all the possible passwords are 43,056,000

Given, we have to make a password which includes 4 characters and 4 even digits. And none of the characters or digits can be used more than once. So, For the first character we have 26 choices as we can use any character from the alphabet. For the 2nd character we get 25 choices as we cant choose the first character already twice. Similarly, for 3rd character we get 24 choices and for 4th character we get 23 choices.

Now for the digits, we can only use even digits 0,2,4,6,8 with no repetition allowed. Therefore, for first digit we can choose any digit so we get 5 choices. For the 2nd digit we get 4 choices. For the 3rd digit we get 3 choices. For the 4th digit we get 2 choices.

Noe, to find all the possible combinations , we just need to multiply all the choices :

⇒ 26 x 25 x 24 x 23 x 5 x 4 x 3 x 2

⇒ 43,056,000

Therefore, the total number of all the possible combination of passwords according to the given condition is 43,056,000.

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The statement correctly represents the situation is "Paul runs 5/8 mile for every one mile that John runs".

Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another.

The ratio of the number of runs that John and Paul do is 5:8, which means that for every 5 runs that John does, Paul does 8 runs.

Let J and P number of miles John and Paul run respectively. We can write:

P : J = 5 : 8

P / J = 5 / 8

P = (5/8)J

Therefore, Paul runs 5/8 mile for every one mile that John runs

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Complete Question

John and Paul both run on the same track each morning. The ratio of the number of  John runs to the number of  Paul runs is 5:8 Which statement correctly represents the situation?

A. Paul runs 5/8 mile for every one mile that John runs

B. Paul runs 8/13 mile for every one mile that John runs.

C. John  runs 5/8 mile for every one mile that Paul runs.

D. John runs 8/13 mile for every one mile that Paul runs.

Answer: 1/3

Step-by-step explanation: The ratio of multiplication problems to total problems is 12:36, which can be simplified to 1:3.

Answer:

A

Step-by-step explanation:

Hi there.
We know this math exam has 12 multiplication and 24 division problems, making the overall exam questions 36 problems. (12+24=36)

The ratio is the fraction equivalent comparison between two variables. In this case, it's multiplication problems over total problems.

We know multiplication problems as 12, and we calculated the total, which is 36.

The answer would be 12/36; but it's divisible by 12 and can be further simplified to 1/3.

Students raised $225 in the first week and $90 in the second week.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a student club has a goal to raise $750 to buy new books for a library.

In the first week, the club raised 30% of its goal.

Now, 30% of 750

= 30/100 ×750

= 3×75

= $225

In the second week, the club raised 12% of its goal.

Now, 12% of 750

= 12/100 ×750

= 0.12×750

= $90

Hence, students raised $225 in the first week and $90 in the second week.

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The required perimeter of the door on the scale drawing is 4 cm, which is option A.

Perimeter is the measure of the figure on its circumference.

Here,
To find the perimeter of the door on the scale drawing, we need to first find the dimensions of the door on the scale drawing. We can use the scale 2:8 to convert the actual dimensions of the door to the corresponding dimensions on the scale drawing:

Height on scale drawing = (2/8) x 5 cm = 1.25 cm

Width on scale drawing = (2/8) x 3 cm = 0.75 cm

The perimeter on the scale drawing = 2 x (height on scale drawing + width on scale drawing)

Perimeter on scale drawing = 2 x (1.25 cm + 0.75 cm)

Perimeter on scale drawing = 2 x 2 cm

The perimeter on the scale drawing = 4 cm

Therefore, the perimeter of the door on the scale drawing is 4 cm, which is option A.

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