angle x is coterminal with gale y. if the measure of angle x is greater than the measure of angle y which statement is true regarding the values of x and y

1) Using order of operations, the solution to the given expression is; 12

2) The estimated cost of groceries if the prices are estimated to the nearest dollar is; $42

In mathematics , the acronym for the right order of operations is PEMDAS which denotes;

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction.

3) From the given statement, we are to add 6 to 12, then divide the sum by 4. Thereafter, we divide the quotient by negative nine and then multiply by twenty-four. This is expressed as;

[(6 + 12)/4] = 18/4 = 9/2

Then divide by -9 to get;

(9/2) ÷ 9 = 1/2

Then we multiply by 24 to get;

1/2 * 24 = 12

4) Let us first estimate each cost to the nearest dollar to get;

$6.47 ≈ $6

$14.72 ≈ $15

$7.99 ≈ $8

$9.40 ≈ $9

$2.79 ≈ $3

Total estimated cost = 6 + 15 + 8 + 9 + 3 = $42

Read more about Order of Operations at; https://brainly.com/question/15266279

#SPJ1

Answer:

4, 0

Step-by-step explanation:

Answer:

\((\frac{-4}{3}, 0)\)

Step-by-step explanation:

The x-intercept of any equation is the point where \(y=0\).

Aha! We plug in \(y=0\) into the equation to get \(6x+2(0)=-8\), which gives \(6x=-8\), which gives \(x=\frac{-8}{6}\) which gives \(x=\frac{-4}{3}\).

So, our answer is \(\boxed{(\frac{-4}{3}, 0)}\) and we're done!

Answer:

its £39

Step-by-step explanation:

Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.

To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.

For Brett:

APR = 12.6%

MPR = 12.6% / 12 = 1.05%

For Andy:

APR = 16.2%

MPR = 16.2% / 12 = 1.35%

Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.

For Brett:

Finance charge = $7,980 * 1.05% = $83.79

For Andy:

Finance charge = $7,980 * 1.35% = $107.73

To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:

Difference = $107.73 - $83.79 = $23.94

For more such on questions on percentage

https://brainly.com/question/30744872

#SPJ8

Answer:

36

Step-by-step explanation:

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

for such more question on real value

https://brainly.com/question/27371101

#SPJ8

Answer:

  (0, 1/5)

Step-by-step explanation:

Since b is 2/5 of the distance from a to c, it is ...

  b = a + 2/5(c -a) = 3/5a +2/5c

  b = (3a +2c)/5 = (3(-8, 3) +2(12, -4))/5 = (-24+24, 9-8)/5 = (0, 1/5)

Point b is (0, 1/5).

The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

More about Lucas Sequence:

https://brainly.com/question/9807586

#SPJ1

Answer:

n +10 =20

Step-by-step explanation:

answer =20 . thank God

Ingrid must deposit $402.74 at the end of each quarter for 8 years in order to have enough money to pay for her car.

Answer:

32

Step-by-step explanation:

4/(1/8)

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

For more such questions sequence,Click on

brainly.com/question/7882626

#SPJ8

Answer: (0,-10)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

Option A is the correct answer.

We have,

The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.

Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.

And,

The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.

Therefore,

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ1

The equation is  \(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)  Graphing this equation below, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.

To graph function g, we need to find its equation that satisfies the given properties. We know that the y-intercept of g is less than that of f, so we can choose it to be 1. Also, the parabola of g opens downwards and its vertex is between the two x-intercepts, which are at x = -2 and x = 4. We can use these points to find the equation of the parabola in the standard form: g(x) = a(x - h)² + k. Using the fact that g(0) = 1 and the x-intercepts, we can solve for a, h, and k. The resulting equation is:

\(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)

Graphing this equation, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

To know more about graph, visit:
https://brainly.com/question/11803331
#SPJ1

Answer: you got it right, it is the one that is blue highlighted.

Answer:

B

Step-by-step explanation:

28+25+29+18 = 100

red = 25

25/100     =    1/4

The required empirical probability is 1/4 which gets the color of red P(R).

The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get

28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes

To find the empirical probability of getting a red outcome, we need to divide the number of red outcomes by the total number of spins:

P(R) = 25 red outcomes / 100 spins

Apply the division operation, and we get

P(R) = 1/4

Hence, the required empirical probability is 1/4

Therefore, the correct answer is 1/4 or option B.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer:

give that 13.3cm is 15% of a certain length, what is the complete length

Answer: A,B and D ARE THE CORRECT ANSWERS

Step-by-step explanation:

Answer:

? = 1

Step-by-step explanation:

You are trying to mind the MEDIAN of the given expression.

The MEDIAN is the middle number of a set of given values.

1. Arrange the terms in ascending order.

= 0.1 , 0.4 , 1.6 , 2.5

2. The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

= (0.4 + 1.6)/2

Write as a fraction where (0.4 + 1.6) is the NUMERATOR & 2 is the DENOMINATOR. Include parentheses.

3. Remove parentheses.

= 0.4 + 1.6/2

Write as a fraction where 0.4 + 1.6 is the NUMERATOR & 2 is the DENOMINATOR.

4. Add 0.4 and 1.6.

= 2/2

5. Divide 2 by 2.

= 1

6. Convert the median 1 to decimal.

= 1

Answer:

16000 at 3%

32000 at 5%

Step-by-step explanation:

x= amount invested at 3%

y= amount invested at 5%

.03x+.05y=2080

2x=y

.03x+.05(2x)=2080

.03x+.1x=2080

.13x=2080

x= 16000

2*16000= y

32000=y

Step-by-step explanation:

take x and subtract it over to the other side you should get Negative two y equals negative x + 6 then divide it all by -2 and you should get y equals 1/2 x - 3

Answer:

simple interest=$97.50.

compound interest= $100.668

Step-by-step explanation:

Given:

Principal (P) = $750

Rate (R) = 6.5% (in decimal form, 0.065)

Time (T) = 2 years

Simple Interest = Principal*Rate*Time

Using the formula, the simple interest is calculated as follows:

Simple Interest = $750*0.065*2 = $97.50

Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.

Again:

Compound Interest = Principal*(1 + Rate)^(Time)-Principal

Using the same values as above, the compound interest can be calculated as follows:

Compound Interest = $750*(1+0.065)^(2)-$750

= $750*1.065^2 -$750

= $750 × 1.134225 - $750

= $850.66875-$750

= $100.668

Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668

The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

Learn more about the mean at https://brainly.com/question/1136789.

#SPJ1

During the progressive era many state and local governments adopted initiative referendum and recall together these procedures gave citizens a more direct voice in government.

At the progressive era the citizens was given by a more direct voice in government because of the three principles they are initiative ,referendum and recall.

Initiative:

Proposed law with backing can be put on the ballot at election,in that case the petitions must be approved with valid signatures.

Referendum:

plebiscite is a kind of referendum in which meaning decree of the people it depends on nature of advisory called as referendum.

Recall:

Recall defines that voters may remove a public official from office that must be before the expiration.

Therefore During the progressive era many state and local governments adopted initiative referendum and recall together these procedures gave citizens a more direct voice in government.

Learn more about the people here:

https://brainly.com/question/17212820

#SPJ1

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answer:

3π/4 radians

Step-by-step explanation:

arctan(tan(x/3))=1

x/3=π/4 rad

x = 3π/4 radians

Answer:

Here is the answer, let me know if I did it wrong.

Answer:

IK = 13 and x = - 12

Step-by-step explanation:

Let's write down each segment and if available express it in terms of x which has to be determined in order to find length of segment IK

We have IK = x + 25 (to be determined)

JK = 2x + 30     (1)

KL (unknown)

IL = x + 34      (2)

JL = 15            (3)

The entire segment

IL = IJ + JL

Substituting for JL = 15 we get IL = IJ + 15

But we are given IL = x + 34

IJ + 15 = x + 34

IJ = x + 34 -15 = x + 19   (4)

IK = IJ + JK

Substituting for IJ = x + 19 from equation (4) and JK = 2x + 30 from equation (1) we get IJ + IK = x + 19 + 2x + 30 = 3x + 49

But we are given that IK = x + 25

So

3x + 49 = x + 25

Moving x from the RHS to the LHS and 49 from the LHS to the RHS we get

3x-x = 25 - 49

2x = -24

x = -12

IK = -12 + 25 = 13

We can verify this by finding the lengths of each segment and seeing they are consistent

We have

IJ = x + 19 = -12 + 19 = 7

JK = 2x + 30 = 2(-12) + 30 = -24 + 30 = 6

IL = x + 34 = -12 + 34 = -23

We also have the fact that JK + KL = JL = 15

Substituting for JK we get

6 + KL = 15

KL = 15-6=9

Total segment length = 7+6 + 9 = 22

x + 34 = -12 + 34 = 22

So it is consistent

Answer:

Area to the right is 0.813

Step-by-step explanation:

Since the area under the full normal distribution should render "1" (one), then the area to the right of x  should be:

1 - area to the left of x = 1 - 0.187 = 0.813

The area to the right of x in this normal distribution will be 0.813.

The majority of the observations are centered around the middle peak of the normal distribution, which is a continuous probability distribution that is symmetrical around its mean.

The probabilities for values that are farther from the mean taper off equally in both directions. Extreme values in the distribution's two tails are likewise rare.

Not all symmetrical distributions are normal, even though the normal distribution is symmetrical. 

We know that the total area described in a normal distribution is 1.

Given, that the area to the left of x in a normal distribution is 0.187.

So, the area to the right of x will be,

1 - 0.187.

= 0.813.

learn more about normal distribution here :

https://brainly.com/question/15103234

#SPJ2