The supplement of an angle is 30 less than six times the angle. Find the angle and its supplement.

Polynomial Remainder Theorem:

If we divide a polynomial f(x) by a factor (x – a), then the remainder will be f(a).

In your case, the remainder from dividing by (x-7) will be f(7)

    f(7) = (7)^2 + k(7) -19

          = 49 + 7k -19

          = 30 + 7k

If you want the remainder to be -5, when set 30+7k equal to -5 and solve:

     30 + 7k = -5

             7k = -35

               k = -5

The common shaded zone, as illustrated in the graph attached, will represent the answer to the set of equations. There isn't a common location where the two equations intersect.

Given that,

The system of inequality

y < x² + 2

y > x² - 6

We have to find the common point of the system of inequality.

We know that,

The graph is shown in the image.

Using the graphing technology,

A will be the first equation's vertex (0,2)

The parabola's outer region will be shaded and its boundary will be a dotted line because y is less than the value required by the quadratic equation.

In a similar way, the second equation's vertex, (0,-6), will be a dotted parabola with shaded inner portions.

The common shaded zone, as illustrated in the graph attached, will represent the answer to the set of equations. There isn't a common location where the two equations intersect.

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Answer:

B

Step-by-step explanation:

Standard form is just descending powers.

Highest power in the polynomial is 5,

Second highest is 2,

Third Highest is 1 (x^1 = 9x)

Lowest is x^0 (the 12 is actually 12*x^0 = 12*1)

:-)

(a) Limitations: Assumes reversible process, constant heat capacity.

(b) Limitations: Assumes constant T and P, and independent DH and DS with temperature.

(c) Limitation: Assumes non-expansion conditions, may not account for volume changes in real scenarios.

Answer:

see below

Step-by-step explanation:

1.  letter of the symbols have Reflectional symmetry.

A, B, C, G, I, L

2.  letter of the symbols have symmetry by Translation.

A, B, C, D, E, F, G, H, I, J, K, L

3.  letter of the symbols have Rotational symmetry.

C, D, L

Answer:

ujhb ;jenwpfeuw9oytr87w4i4398743203irjfgk

Step-by-step explanation:

frylgbrbbiyebvkhweylirgkhbngiwoerulkhbvlihrfkvbruilefjkvgbwiulrejkfmngvhb jrio;e;jfeir'spgvnjth'\w/to;jnjf';thgbv;trjkvnrtjkgvbv jrkfds,

mvpbinh54utgj['p4\iwujgi5ptjnrtgojltngibklrtjngirglihnir

Answer:

What is the answer Choices? message me and ill answer.

Step-by-step explanation:

Answer:

\(y=1.25x-2\)

Step-by-step explanation:

The function I used was a linear function (\(y=mx+b\)). I found the slope and y-intercept by going to my calculator and doing these steps:

1. Turn on the calculator

2. Press the STAT button

3. Select Edit . . .

And the calculator will show an empty data table. If there are already numbers in the data table:

1. Click STAT again

2. Select ClrList

3. Press 2nd and number 1

4. Select the comma, it's above 7

5. Press 2nd and number 2

6. Hit enter

Finally, after entering the numbers into the data table in their according spots, you then:

1. Press STAT

2. Go to CALC and Select LinReg (ax+b)

3. And hit enter 5 times, and you'll get your answer

y = -2

m = 1.25  

At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

The speed of an object is the ratio of distance and time it takes for the object to travel that distance.

Mathematically,

S = D/T

where

S is velocity

D is the distance traveled or distance traveled

T is the time it takes to travel that distance

Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.

If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.

Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.

Mathematics,

a = v/t

When an object is in motion, its acceleration is never zero.

When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.

Given in the question:

First the plane was travelling at a constant rate of 250  miles per hour.

Initial height was 20000 feet

Now,

As the speed increases and travels at a constant rate of 400 miles per hour.

Now,

   (400 /250 ) × 20000

=  1.6 × 20000

= 32000 feet

Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

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So first we have to find equation form angles.

Statement :- The measure of the second angle of a triangle is 20 more than the measure of the first.

Equation :-

second angle = 20 + x

{ Remember people get's confused when to multiply and when to add. when ever there "more than" then we will add and when there is ,"times" we will multiply}

Statement :-

the third angle is 10 less than three times the first

Now just see first less means we have to subtract 10 from 3 times the first means 3 × first angle.

Equation :-

third angle = 3x - 10

Now let's represent :-

We know sum of angles of triangle is equal to 180°

So :-

Measure of angles :-

\(\bold{\huge{\underline{ Solution }}}\)

Let the first angle be x

According to the question,

[ 2nd angle is 20 more than the first angle ]

[ 3rd angle is 10 less than thrice times the first angle ]

By using Angle sum property

That is,

\(\sf{ x + ( x + 20) + ( 3x - 10) = 180{\degree}}\)

\(\sf{ x + x + 20 + 3x - 10 = 180{\degree}}\)

\(\sf{ 5x + 10 = 180{\degree}}\)

\(\sf{ 5x = 180 - 10}\)

\(\sf{ 5x = 170}\)

\(\sf{ x = }{\sf{\dfrac{ 170}{5}}}\)

\(\sf{ x = }{\sf{\cancel{\dfrac{ 170}{5}}}}\)

\(\bold{ x = 34{\degree}}\)

Thus,

Hence, The three angles of the given triangle are 34° , 54° and 92°

\(\bold{\huge{\underline{ Verification }}}\)

Here, we have

By using Angle sum property :-

\(\sf{ 34 + 54 + 92 = 180{\degree}}\)

\(\sf{ 88 + 92 = 180{\degree}}\)

\(\sf{ 180 = 180{\degree}}\)

\(\bold{ LHS = RHS }\)

Hence, Verified

The distance between the points (-7,1) and (-7,-5) on the coordinate plane is 6 units.

The distance formula is a useful tool in many areas of mathematics and science, such as geometry, physics, and engineering. It can be used to find the distance between two points in any number of dimensions, not just two dimensions as in the coordinate plane In addition, the distance formula can also be used to find the length of a line segment in the coordinate plane, which is just the distance between its endpoints. This can be useful in finding the shortest distance between two points, or in finding the length of a path that connects two points.

The distance formula is a mathematical equation used to find the distance between two points in the coordinate plane. It makes use of the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).

In the coordinate plane, we can represent each point by its coordinates (x1, y1) and (x2, y2). The distance between the points is then given by the equation:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

For the points (-7,1) and (-7,-5), we can plug in the values into the equation:

distance = sqrt((-7-(-7))^2 + (-5-1)^2) = sqrt(0^2 + (-6)^2) = sqrt(36) = 6

So the distance between the points (-7,1) and (-7,-5) on the coordinate plane is 6 units.

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Answer:

angle 1 is 145°

Step-by-step explanation:

this is because à horizontal line is always 180° so you jus have to subtract 35 from 180

On solving the provided question, we can say that Probability (marble in blue) = 4/14 and Probability (marble in red ) = 10/14

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

total marble = 14

total red = 4

total blue = 10

Probability (marble in blue) = 4/14

Probability (marble in red ) = 10/14

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The dimensions for the scale drawing of the flag is 20 cm by 23 cm

A scale is a set of levels or numbers which are used in a particular system of measuring things or are used when comparing things.

Given that, A rectangular flag is 80 centimeters by 92 centimeters. we need to find dimensions of a scale drawing of the flag using the scale 1:4,

Therefore,

80 / 92 = 20 / 23

Hence, the dimensions for the scale drawing of the flag is 20 cm by 23 cm

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Answer:

20cm by 23cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sides are consecutive integers and the perimeter is 12 ft.

3 ft, 4 ft, 5 ft

One angle is 90°, one angle is arcsin(3/5) ≅ 36.9°

the remaining angle is 90-36.9 = 53.1°

Let's assume the amount invested at the higher interest rate (16%) is x dollars.

The amount invested at the lower interest rate (6%) would then be ($80,000 - x) dollars, as the total investment is $80,000.

The interest earned from the investment at 16% is calculated as (x * 16%) = 0.16x dollars.

The interest earned from the investment at 6% is calculated as (($80,000 - x) * 6%) = 0.06(80,000 - x) dollars.

According to the given information, the retiree receives a total interest of $8,900 per year. So we can set up the equation:

0.16x + 0.06(80,000 - x) = 8,900

Now, let's solve the equation to find the value of x:

0.16x + 0.06(80,000 - x) = 8,900

0.16x + 4,800 - 0.06x = 8,900

0.1x + 4,800 = 8,900

0.1x = 8,900 - 4,800

0.1x = 4,100

x = 4,100 / 0.1

x = 41,000

Therefore, $41,000 is being invested at the higher interest rate (16%).

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The monthly payment amount is approximately $129.45.

To find the payment amount and finance charge for the loan, we can use the formula for calculating monthly loan payments and finance charges.

The formula to calculate the monthly loan payment amount is given by:

\[ P = \frac{{r \cdot PV}}{{1 - (1+r)^{-n}}} \]

where:

P = monthly payment amount

r = monthly interest rate (APR divided by 12 months and 100 to convert it to a decimal)

PV = present value or loan amount

n = total number of payments

Given:

Loan amount (PV) = $4800

APR = 12%

Monthly payments (n) = 24

To calculate the monthly interest rate (r), we divide the annual percentage rate (APR) by 12 and convert it to a decimal:

\[ r = \frac{{12\%}}{{12 \cdot 100}} = \frac{{0.12}}{{12}} = 0.01 \]

Substituting the values into the formula, we have:

\[ P = \frac{{0.01 \cdot 4800}}{{1 - (1+0.01)^{-24}}} \]

Calculating this equation will give us the monthly payment amount.

To calculate the finance charge, we can subtract the loan amount (PV) from the total amount paid over the loan term (P * n).

Let's calculate these values:

\[ P = \frac{{0.01 \cdot 4800}}{{1 - (1+0.01)^{-24}}} \]

\[ P = \frac{{48}}{{1 - (1+0.01)^{-24}}} \]

\[ P = \frac{{48}}{{1 - 0.62889499777}} \]

\[ P \approx \frac{{48}}{{0.37110500223}} \]

\[ P \approx 129.4532449 \]

To calculate the finance charge, we can subtract the loan amount (PV) from the total amount paid over the loan term:

Total amount paid = P * n

Total amount paid = $129.45 * 24

Total amount paid = $3106.80

Finance charge = Total amount paid - PV

Finance charge = $3106.80 - $4800

Finance charge = $-1693.20

The finance charge is approximately -$1693.20. The negative sign indicates that the borrower will be paying less than the loan amount over the loan term.

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Answer:

first graph is not a function, second graph is a function, 3rd is not enough information, 4th is a function, 5th is not a function, 6th is a function

Step-by-step explanation:

Answer:

I got all of them right on Imagine Math!

Step-by-step explanation:

Hope this helps!

Answer:

6.15555555556

Step-by-step explanation:

the 5 is infinite in 6.15 such as 6.155555555 it does not stop 

There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

If I recharge the car battery, then the car will start.

Step-by-step explanation:

Hypothesis' are if and when statements

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

Patterns

Step-by-step explanation:

Deductive reasoning is used to prove conjectures to be true

Answer:

patterns

Step-by-step explanation:

Deductive reasoning is a simple form of arriving at a conclusion by joining two or more pieces of information. Deductive reasoning is used to prove conjectures to be true.

The integral as an equivalent integral are as follows.

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

What is an integral ?

Mathematicians define an integral as either a number equal to the area under the graph of a function for a certain interval or as a new function whose derivative is the original function (indefinite integral).

We write the equivalent integrals for given integral,

we get:

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

We changed places of integration, and changed boundaries for certain integrals.

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question:

Here is the region of integration of the integral Integral from negative 6 to 6 Integral from x squared to 36 Integral from 0 to 36 minus y dz dy dx. Rewrite the integral as an equivalent integral in the following orders. a. dy dz dx by. dy dx dz c. dx dy dz d. dx dz dy e. dz dx dy

The fraction which is equivalent to 6/12 is 1/2

What does a fraction mean?

In the first place, fraction is a numerical quantity or relationship where one number is expressed in terms of another.

In order to determine the equivalence of 6/12 in fraction , we need reduce 6/12 to the lowest term, since 6 is common to 6 and 12 and that 6 divided by gives 1 and 12/6 gives 2, which means that we are left 1/2

The correct fraction which is equivalent to 6/12 is 1/2

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Full question:

A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6/12?

(A) 1/3

(B)1/4

(C) 1/6

(D) 1/2

The probability that 72% or more of the women in the sample have been on a diet is, 0.1736.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

As given a sample survey interviews an SRS of 209 college women. suppose that 69% of all college women have been on a diet within the last 12 months.

p = 0.69

1 - p = 0.31

n = 209

μp = p = 0.69

σp = √(p(1-p))/n = √(0.69*0.31)/209 = 0.03199

= 1 - p(p < 0.72)

= 1 - p((p - μp) / σp < (0.72 - 0.69) / 0.03199)

= 1 - p(z < 0.94)

= 1 - 0.8264

= 0.1736

Hence, the probability is 0.1736.

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Answer:

h=0.25t+3

Step-by-step explanation:

y=mx+b

y=0.25x+3

replace y with h and x with t

h=0.25t+3