0.9 ? 4/25

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which one ?​

Answer:

Step-by-step explanation:

Opposite angles D and E in the rhombus are congruent. The measure of arc ADC is the same as the measure of central angle AEC. The measure of arc ABC is twice the measure of angle AEC, so the measure of arc ABC is twice the measure of arc ADC.

This means that short arcs AB, BC and CA are all 120°. Inscribed angle ABC (angle m) is half that value, or 60°.

Likewise, the angle BAC is 60°. We know that angle EAD is supplementary to angle AEC, so is 180° -120° = 60°. Segment AC bisects this angle, so angle n is 60°/2 = 30° less than angle BAC.

  angle m is 60°, angle n is 30°

Given:

Sol:.

The product of negative five times a number and the quantity four plus three times the number.

Answer:

I think 50

Step-by-step explanation:

If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 10x + 8 = 0

x² - 10x = -8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 10x + (-10/2)² = 8 + (-10/2)²

x² - 10x + 25 = -8 + 25

x² - 10x + 25 = 17

By simplifying, we have;

(x - 5)² = 17

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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Answer:

A) $32,000 B) $37,500 C) $5,500

Step-by-step explanation:

Price of jeep: $37,000

Michael uses $5,000 of his own money toward that total $37,000-$5,000= $32,000

Monthly payments $625.00×60months=$37,500

After paying $5,000 of his own money, & bringing theamount owed to $32,000. Michael still has to pay back $37,500. Making, the finance chardge $5,500. ($37,500-$32,000= $5,500)

Amount financed =  $32000, total amount of monthly payment = $37500 and total amount of the finance charge = $5500.

"Dealer financing is a type of loan that is originated by a retailer to its customers and then sold to a bank or other third-party financial institution. The bank purchases these loans at a discount and then collects principle and interest payments from the borrower. This is also called an indirect loan."

According to the question,

Given,

Price of jeep = $37000

Down payment = $5000

Total number of monthly payment = 60

Amount to be paid after down payment

= $37000 - $5000

= $32000                                                  ____( 1 )

Amount paid in Monthly payments = $625.00 × 60months

                                                          = $37500          ____( 2 )

From ( 1 ) and ( 2 ) we get,

Finance charge amount = Total monthly amount - Total amount financed

                                        = $37500 - $32000                                    

                                        = $5500

Hence, amount financed , total amount monthly payment and total amount of the finance charge is $32000 , $37500 and $5500.

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Answer:

maxuin 10

Step-by-step explanation:

Answer:

7   31/90

Step-by-step explanation:

The answer is,

\( \frac{661}{90} \)

in mixed fraction,,

\(7 \frac{31}{90} \)

and in decimal form,

\(7.344444\)

Answer:

11 5/4

Step-by-step explanation:

make the denominator the same then add.the common factor of 2 and 7 is 14 so make all the denominator to 14 then u can add.thus having the answer

Answer:

the answer is 12 inches

Step-by-step explanation:

there is 1 foot per 12 inches

or

12 inches make a foot

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Answer:

1 / 8

Step-by-step explanation:

Given the data

_____Favor __Oppose__ No Opinion__Total

Demo 320___ 150 ______50 _______ 520

Repub 125___ 345 _____ 10 _________480

Total 445 ___495 ______60 ________ 1000

what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica

From the table provided :

n(favor n republican) / n(Total)

Number of republican who are in favor = 125

Total number of persons = 1000

Hence,

125 / 1000

= 1/8

Answer:

- 11 ≤ x < - 2

Step-by-step explanation:

the domain is the values of x covered by the graph

the left side has a solid circle at x = - 11 indicating that can equal 11

the right side has ab open circle indicating that x cannot equal - 2

then

domain : - 11 ≤ x < - 2

1.325387575E50

A really big number.

Step-by-step explanation:

2*23496 = 46992

285*1.34508 = 383.3478

46992/383.3478 = 122.5831999

122.5831999^24 = 1.325387575E50

Answer:

A. P = 50,200(1 + 0.09)2

Answer:

P = 50200(1+0.09)²

Step-by-step explanation:

To find the answer to this question we use the equation new value = original value x \(d^{n}\), where d is the multiplier

We are told that our original value is 50200 and to find the multiplier we have to do 1 + 0.09. This is because the population is increasing by 9% which as a decimal is 0.09!

This means that our equation would be P = 50200(1+0.09)²

Hope this helps, have a lovely day! :)

The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;

The transformation are a rotation and a translation

A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.

The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units

The correct option is the second option; The transformation are a rotation and a translation

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The descriptions of each particle is Particle P is in the nucleus and Particle Q revolves around the nucleus.

What is nucleus ?

The nucleus carries the genes, structures that contain the hereditary information, and controls and regulates the functions of the cell (such as growth and metabolism). Small bodies called nucleoli are frequently seen inside the nucleus. The nucleoplasm is the gel-like matrix in which the nuclear parts are suspended.

P is non-charged particle or neutron

Particle Q is negatively charged particle means electron

The nucleus, that dense central core of the atom, contains both protons and neutrons. Electrons are outside the nucleus in energy levels.

So, In nucleus, atom can contain both postively and no charged charged but outside the nucleus negatively charged particles are present that get attracted towards the nucleus.

Thus option d  Particle P is in the nucleus and Particle Q revolves around the nucleus is correct

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Answer:

The 3rd option is the correct answer. Can I get brainliest please.

Step-by-step explanation:

Hope this helps:)

Answer:

Solving steps:

Explanation:

The first bit of information is about amount, and the second part is about cost. We will make an equation for each one. Just so you know, I'm going to abbreviate "children" to c and "adults" to a .

The first equation is about amount. So since the total amount of people that came was

283

, this is the equation:

c + a = 283

The second is about cost. Children cost

$5.50 and adults cost $15.00, so we can make this equation:

=> 5.50c + 15.00a = 2,649.00

Now rearrange the first equation so that we can solve for one of the variables:

c + a = 283 → c = 283 − a

Substitute it into the second equation:

5.5c +15a = 2,649

5.5(283 − a) + 15a = 2,649

1,556.5 − 5.5a + 15a = 2,649

1,556.5 + 9.5a = 2,649

9.5a = 1,092.5

a = 115

115 adults came.

Now substitute the value of into this equation and solve for c

.c = 283 - a

c = 283 - 115

c = 168

168 children came.

Answer:

53.65

Step-by-step explanation:

643.8 / 12 = 53.65

Step-by-step explanation:

3x+9+4x-3+8x-6=180

15x=180

x=12

angle 1= 3x+9=36+9=45°

angle 2=4x-3=48-3=45°

angle 3=8x-6=96-6=90°

1) it's right triangle

2) it's isosceles triangle

The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

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The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

Let's denote the speed of the boat in still water as "b", and let's denote the distance between the two points as "d" (in this case, d = 24 miles).

When the boat is traveling upstream against the current, its effective speed is b - 2 mph (since the current is working against the boat). When the boat is traveling downstream with the current, its effective speed is b + 2 mph (since the current is helping the boat).

We know that the boat travels a total distance of 24 miles upstream and then 24 miles downstream, for a total distance of 48 miles. We also know that the total time it takes for the boat to make this round trip is 5 hours. So we can set up the following equation:

24/(b-2) + 24/(b+2) = 5

Multiplying both sides by (b-2)(b+2), we get:

24(b+2) + 24(b-2) = 5(b-2)(b+2)

Simplifying and rearranging, we get:

10b^2 - 96b - 208 = 0

We can solve this quadratic equation using the quadratic formula:

b = (-(-96) ± sqrt((-96)^2 - 4(10)(-208))) / (2(10))

b = (96 ± sqrt(96^2 + 8320)) / 20

b = (96 ± sqrt(9024)) / 20

b = (96 ± 96) / 20

So the possible values of b are b = 9.6 or b = -0.8. We can discard the negative value since it doesn't make sense as a speed, so we have:

b = 9.6 mph

Therefore, the speed of the boat in still water is 9.6 miles per hour

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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