Pls help. I think it's only one answer, but I need help just to make sure two more of the answers are not part of it, since the question says to choose all possible answers. Pls help quickly, I'll mark you Brainliest if it is correct.

The equations which represent circles whose diameters are 12 units and a center line lies on the y-axis are:

It is noteworthy to know that a center line on the y-axis can be interpreted as a coordinating pair in which case the pair looks like;

( 0, y )

Recall the equation of a circle which takes the form;

(x - h)² + (y - k)² = r²

Hence, since the center that lies on the y-axis, it automatically means that h = 0.

Also, if the diameter of the circle is 12 units

r = 12 / 2 = 6.

On this note, the required equation is;

x² + (y - k) = 6²

where k could be any real number.

Ultimately, the equations which are correct are;

x² + (y – 3)² = 36

x² + (y – 5)²

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Answer:

If you want an answer I would suggest you to put the whole question up ty

Step-by-step explanation:

Answer:

0.124176

Step-by-step explanation:

.06 x .995 x 1.3 x 1.6= 0.124176

You change a percent into a decimal by dividing it by 100%

Answer:

5 people

Step-by-step explanation:

Relay race ---> 3/4 mile

Each runner runs 3/20 miles

3/4÷3/20

3/4×20/3=5

OR

3/4 --> 15/20

3/20 goes into 15/20 5 times

Answer:

5 runners

Step-by-step explanation:

Just multiply 3/20 by 3/4

Answer:

In an absolute value graph, the slope of one side of the graph is the opposite of the other side.

For example, if the slope of one side of an absolute value function is positive, then the other side of the equation has a slope of negative.

Answer:

3.8729

Step-by-step explanation:

Answer:

-4 < 2 - a < -8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since segment AD and BE are parallel, we can use the Alternate Interior Angles Theorem to solve this. According to this theorem, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are equal. Since angle CAD = 67 degrees, angle DBE is also equal to 67 degrees.

Now, if we look at the diagram, angle DBE is supplementary to angle CBE, meaning that the two angles add up to 180 degrees. Therefore, angle CBE = 180 degrees - 67 degrees = 113 degrees.

Answer:

A and B

Step-by-step explanation:

You draw the points on the Cartesian plane and draw a straight line that passes through two of the drawn points, if ALL the drawn points are ON the drawn line, then it is a linear function,

If only ONE point lies outside the line, then it is NOT a linear function

A total of 40 nurses do not have a nursing diploma yet

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

Nurses = 160 nurses

Diploma qualitifications = 75%

The above parameters mean that

No diploma qualification = (1 - Diploma qualitifications) * Nurses

Substitute the known values in the above equation, so, we have the following representation

No diploma qualification = (1 - 75%) * 160

Evaluate

No diploma qualification = 40

Hence, the nurses are 40

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Number of pounds of banana sold is, 14

And, Number of pounds of grapes sold is, 36

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Each pound of banana sell for $2.

And, Each pound of grapes sell for $1.

Now, Let number of pounds of sell banana = x

And, Number of pounds of sell grapes = y

Since, There are 50 pounds of fruits are sell.

So, We can formulate;

⇒ x + y = 50   .. (i)

And, Each pound of banana sell for $2.

And, Each pound of grapes sell for $1.

Hence, We get;

⇒ $2x + $1y = $64

⇒ 2x + y = 64  .. (ii)

Substitute value of y from (i) in (ii), we get;

⇒ 2x + y = 64

⇒ 2x + (50 - x) = 64

⇒ 2x + 50 - x = 64

⇒ x = 64 - 50

⇒ x = 14

And, From (i);

⇒ x + y = 50

⇒ 14 + y = 50

⇒ y = 50 - 14

⇒ y = 36

So, Number of pounds of sell banana = 14 pounds

And, Number of pounds of sell grapes = 36 pounds

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The inequality that represents the interval shown on the number line is:

5 ≤ x ≤ 9

We want to use inequality notation to define the interval shown on the number line.

We can see that the first point is marked with a closed circle, at x = 5.

And then we have another closed circle at x = 9

The closed circles means that these points are solutions to the inequality, so we need to use the symbols:

≤ and ≥

Then we can write the inequality:

5 ≤ x ≤ 9

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The value of the summation expression given in the task content is; 16.

It follows from the task content that the value of the summation expression given is to be determined.

Since the given expression is; 2x - 3,

On this note;

On this note, the sum of all of the results above is the correct Evaluation of the given expression; 1 + 3 + 5 + 7 = 16.

On this note, the result of the evaluation is; 16.

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Answer:

Step-by-step explanation:

let   5x - 2y = 10             ........... (1)

and 7x - 3y = 13             ............(2)

now multiply equation (1) by 3 and equation (2) by 2, we get,

 15x - 6y = 30             ............(3)

 14x - 6y = 26             ............(4)

after substracting  equation (3) and (4) we get,

  x = 4

after putting the value of x in eq (3) we get,

    15 * 4 - 6y = 30

=> 60 - 6y =30

=>     y =  -30/ -6

=>     y = 5

so, the vale of x and y is 4 and 5 respectively.

Answer:

B 9.33

Step-by-step explanation:

Answer: a) To compute the mean of these data, we need to add up all of the ratios and divide by the total number of ratios.

(94+112+78+68+46+111+66+140+428+190+118)/11 = 101.36

The mean is 101.36

b) To compute the median of these data, we need to arrange the data in increasing order and find the middle value.

46, 66, 68, 78, 94, 111, 112, 118, 140, 190, 428

The median is 111

c) The measure that describes the center of this distribution the most accurately is the mean, because it takes into account all of the values in the data set and provides an overall measure of central tendency. The median is also a measure of central tendency but it is affected by the outliers present in the dataset and doesn't provide a good representation of the central value.

Step-by-step explanation:

Answer:

a) Common ratio r = [tex]\boxed{2}[/tex]

b) Formula for common ratio:
[tex]\dfrac{a_{n+1}}{a_n} , n = 1, 2, 3, 4....\\[/tex]

Formula for nth term:
[tex]a_n = a_1r^{n-1}[/tex]

(see explanation below for part b)

c) [tex]a_{10} = \boxed{1024}[/tex]

d) Recursive formula: [tex]\boxed{a_{n+1} = 2a_n}[/tex]

Step-by-step explanation:

a) The common ratio r for a geometric sequence is the ratio of any term(except the first) to the previous term. And this is a constant for that sequence

If we have a sequence [tex]a_1, a_2, a_3, a_4, a_5,....\\[/tex]

[tex]r = \dfrac{a_2}{a_1} = \dfrac{a_3}{a_2} = \dfrac{a_4}{a_3} = \dfrac{a_5}{a_4}[/tex]

Here [tex]a_1[/tex] is the first term in the sequence

The sequence we have here is
2, 4, 8, 16

So
[tex]r = \dfrac{4}{2} = \dfrac{8}{4} = \dfrac{16}{8} = 2\\[/tex]
Answer to a)

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b) This part is confusing. Are they asking for a formula for the common ratio or a formula for the nth term? You can write both or check with your teacher

The explicit formula for the common ratio is

[tex]\dfrac{a_{n+1}}{a_n} , n = 1, 2, 3, 4....\\[/tex]

The explicit formula for the nth term, [tex]a_n[/tex] of a geometric sequence is
[tex]a_n = a_1r^{n-1}[/tex]

where [tex]a_1[/tex] is the first term of the sequence and r is the common ratio
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c)
The formula for finding the nth term of a geometric sequence is
[tex]a_n = a_1r^{n-1}\\\\[/tex]

Therefore

[tex]a_{10} = a_1 r^{(10-1)} = a_1 \times r^9\\\\[/tex]

[tex]a_1 = 2, r = 2\\\\[/tex]

So
[tex]a_{10} = 2 \cdot 2^9 \\\\= 2 \cdot 512\\\\= 1024\\[/tex]ANSWER c)

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d)

A recursive formula is just an expression that denotes the relationship between one term and the next

We know that
[tex]r= \dfrac{a_{n+1}}{a_n} \\\\[/tex]

Multiplying both sides by [tex]a_n[/tex],

[tex]ra_n = a_{n+1}[/tex]

Or

[tex]a_{n+1} = ra_n\\\\[/tex]

For the specific case of r = 2 we get the recursive formula as

[tex]a_{n+1} = 2a_n[/tex]

ANSWER d)

Answer:

Total people =107

Women =57

Men =50

Men who don't like tea =20

Men who like tea= 30

Women who like tea = (total people who like tea)-(men who like tea)

Women who like tea= 30

Women who don't like tea =27

a=50

b=30

c=20

d=57

e=30

f=27

The overlapping triangles which are congruent by ASA are ΔEBC and ΔADC which is therefore denoted as option C.

This is a scenario in which all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Taking ΔEBC and ΔADC, we have the following below:

∠B=∠D (90°)

CB= CD (Given)

∠BCE=∠ACD( Common)

Therefore, by ASA we can deduce that,

Δ EBC ≅ΔADC.

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Answer:false

Step-by-step explanation:

Work Shown:

A = P*(1+r/n)^(n*t)

A = 2750*(1+0.035/4)^(4*7)

A = 2750*(1+0.00875)^(28)

A = 2750*(1.00875)^(28)

A = 2750*1.27626052446017

A = 3509.71644226547

A = 3509.72

The solution for the absolute value equation is:

|7 - 11| = 4

Here we want to solve an absolute value equation:

|7 - 11| = ?

First, remember how the absolute value works, it is:

|x| = x  if x  ≥ 0

|x| = -x  if x < 0.

Now let's return to our equation:

|7 - 11|

If we simplify the left side, we will get:

|-4|

Notice that it is a negative number, so we just need to change the sign:

|-4| = 4

Then the equation is:

|7 - 11| = 4

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Answer:

[tex] \sf \: ∣7-11∣ = 4[/tex]

Step-by-step explanation:

Given problem,

→ ∣7 - 11∣

Let's solve the problem,

→ ∣7 - 11∣

→ ∣-4∣ = 4

=> Absolute value

=> It is always positive

Hence, the answer is 4.

The formula for t in terms of P, I and r is t=I/Pr.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, the formula form simple interest is I=Prt, where I is the interest, P is the principal, r is the interest rate and t is the number of years.

Now, I=Prt

t=I/Pr

Therefore, the formula for t is t=I/Pr.

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Answer: 1 + 2x

Step-by-step explanation:

To solve this problem, it's helpful to understand "order of operations." The order is: parentheses, exponents, multiplication, division, addition, and lastly, subtraction.

A helpful mnemonic is PEMDAS. I was taught "Parachute Expert My Dear Aunt Sally" to help remember the order.

We must work with the numbers inside the parantheses, since "parantheses" is the first operation. We'll start with the first paranthesis: (-5x2 + 10x - 12).

Since there are no exponents in this equation, we can go to the third operation: multiplication. (I like to use the "·" symbol to show that two numbers are multiplied because it's easy for me to confuse the letter X with "x" when it is used as a multiplication symbol).

-5 · 2 = -10

Two negative numbers are added, so -10 and -12 = -22

This leaves (-22 + 10x)

The -22 and 10x are not added together because numbers without a letter cannot be added to numbers with letters.

Now we'll work with the second paranthesis: (-4 · 2 + 8x - 15)

-4 · 2 = -8

-8 and -15 is added to make -23

The paranthesis now looks like:

(-23 + 8x)

Notice that there is a negative sign outside of the second paranthesis in the equation.

(-22 + 10x) − (-23 + 8x)

When a number or symbol is outside of a paranthesis, that number or symbol is multiplied across everything within the parantheses.

Now, it is:

(23 - 8x)

All of the numbers can be taken out of the parantheses now:

-22 + 10x + 23 - 8x

-22 + 23 = 1

10x - 8x = 2x

The final answer:

1 + 2x

Hope this helps!

The amount of water in Casandra's bowl, given the gallons of water it can hold and the fraction full it is, is 0.6 gallons

Casandra' s fish bowl is able to hold a total of 9 / 10 gallons of water which is also 0.9 gallons of water. This means that you can find out how much water is in the bowl if told the fraction of the bowl that is currently full up to.

This time, the bowl is said to be 2 / 3 full which means that out of the capacity of 9 / 10 gallons or 0 . 9 gallons, the bowl is two - thirds full.

The amount of water in the bowl is therefore:

= Capacity of fish bowl x Proportion of water in the bowl

= 9 / 10 x 2 / 3

= 0. 9 x 2 / 3

= 0 . 6 gallons

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Answer:The price of a bond can be calculated using the formula:

Price = Maturity Value / (1 + r)^n

Where:

Maturity Value = $12,000

r = the annual interest rate as a decimal (7.25% / 100 = 0.0725)

n = the number of years to maturity (11 years)

So the price of the bond is:

Price = $12,000 / (1 + 0.0725)^11

By solving this equation we get the price of bond is $7,065.87 approximately.

Note: The bond price is the amount you pay to buy the bond and receive the maturity value at the end of the bond term.

Step-by-step explanation:

F(x) = x³ on the interval [-2, 1], x = -2 and x = 1, the absolute maximum value is 1 and the absolute minimum value is -8.

A function's critical numbers are the independent variable values at which the function is not continuous, or when the derivatives are equal to 0 or undefined.

1. For the function f(x) = x³ on the interval [-2, 1], the critical numbers are x = -2 and x = 1. The absolute maximum value is 1 and the absolute minimum value is -8.

2. For the function f(x) = x² - 2x² + 3 on the interval [-1, 2], the critical numbers are x = -1 and x = 2. The absolute maximum value is 5 and the absolute minimum value is -2.

3. For the function f(x) = 5 - 2x on the interval [-1,2], the critical numbers are x = -1 and x = 2. The absolute maximum value is 5 and the absolute minimum value is -3.

4. For the function f(x) = x² - 3x² on the interval [-1, 3], the critical numbers are x = -1, x = 0, and x = 3. The absolute maximum value is 0 and the absolute minimum value is -3.

5. For the function f(x) = 2cosx + x on the interval [0,2], the critical numbers are x = 0 and x = 2. The absolute maximum value is 3 and the absolute minimum value is -1.

6. For the function f(x) = 3x³ - 20x³ on the interval [-2, 2], the critical numbers are x = -2 and x = 2. The absolute maximum value is -4 and the absolute minimum value is -32.

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Answer: the probability that a student chosen at random plays the bass is 1/3 in simplest form.

Step-by-step explanation:

The probability of an event can be found by taking the number of favorable outcomes and dividing it by the total number of outcomes. In this case, we are looking for the probability that a student chosen at random plays the bass.

We know that there are a total of 6 + 4 + 7 + 2 = 19 seventh grade students and 4 + 15 + 13 + 6 = 38 eighth grade students. So there are a total of 19 + 38 = 57 students.

We also know that there are 4 seventh grade bass players and 15 eighth grade bass players, for a total of 4 + 15 = 19 bass players.

So, the probability that a student chosen at random plays the bass is 19/57. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor which is 19/57 = 1/3.

So, the probability that a student chosen at random plays the bass is 1/3 in simplest form.

Answer: 90

Step-by-step explanation:

If you're looking for the number of times she has to visit the movie theater in order to have 310 points for the free movie ticket then;

310-85 = 225

225/2.5 = 90

Eva needs 90 visits before she can get a free movie ticket.

The value of log10 5 as required to be determined using the given information is; 0.3979 + P..

It follows from the task content that; the value of log10 5 is to be determined based on the given information.

Since the given expression is; log10 2 = P;

The expression which can be inferred from the equation above is;

10^P = 2..............(i)

However, let; log10 5 = x

Therefore; 10^x = 5..........(ii)

By dividing the equation (ii) by (i); we have that;

10^(x - P) = 2.5

Therefore, from the converse of logarithmic law;

x - P = log10 2.5

x = P + log10 2.5

where, log10 2.5 = 0.3979

x = 0.3979 + P

Ultimately, the value of log10 5 as required is; 0.3979 + P.

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