What is the area of the base of the figure
48
45
30
24

Answer:

Your answer is X = 7

Step-by-step explanation:

Answer:

2.[tex]-2m^4-6m^2+4m+9[/tex]

3.[tex]-2m^4-6m^2-4m+9[/tex]

Step-by-step explanation:

In general we can write a polynomial in standard form as

[tex]ax^n+bx^n^-^1+cx^n^-^2+...+px+q[/tex]

Given [tex]4m-2m^4-6m^2-4m+9[/tex]

Combine the like terms: 4m and -4m

4m-4m=0

We have 4m-4m=0

So, write the remaining terms

[tex]-2m^4-6m^2+9+0[/tex]

= [tex]-2m^4-6m^2+9[/tex]

This is in decreasing order of powers.

Hence the answer is the standard form is

[tex]-2m^3-6m^2+9[/tex]

But in the given options, you can choose option 2 and option 3 are in standard form.

Because they are in decreasing order of powers.

In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.

-2m^4-6m^2+4m+9

-2m^4-6m^2-4m+9

I hope this helps you.

And please comment if I need to do corrections.

Please let me know if you have any questions.

The difference of 5/6 - 5/12 is 5/12..

A fraction consisting of a quotient and a remainder is a mixed fraction. we can convert the mixed fraction to an improper fraction by first dividing the numerator by the denominator and then taking the quotient as whole number and the remainder as the numerator of the proper fraction keeping the denominator same.

In this question, we need to apply real algebra properties to find the result of a basic operation between two fractions, whose procedure is shown below:

Given

5/6 - 5/12

Now multiply by 2 in fraction 5/6

10/12 - 5/12

5/12

The difference is 5/12.

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Answer:

B

Step-by-step explanation:

the blue parabola shows (1/4x)^2, the red shoes x^2, you can see the horizontal stretch, hope this helps :)

Answer:

trapezium

If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid; it's something called a trapezium instead. Similarly, if the shape has two sets of parallel sides, it's not a trapezoid. It's either a rectangle, a parallelogram shape or a rhombus.

Step-by-step explanation:

Answer:

4 : 1

Step-by-step explanation:

1 hour : 15 minutes

However we cannot write like this since they aren't of the same unit, so you can either change the minutes to hour by dividing it with 60 or change the hours to minutes by multiplying it with 60.  

1 hour = 60 minutes

60 : 15

The ratio can be simplified.

12 : 3  ( 60 and 15 are multiples of 5 )

The ratio can again be simplified further.

 4 : 1   ( 12 and 3 are multiples of 2 )

Answer:

It really depends on how much percent of your overall grade tests count as. But, usually they count for about 60% of your grade (depending on what grade you are in). You have about 65% at the lowest and a 75% at the highest. But, I'm just going by what my school does, I don't know how your school grades tests.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

double numbers for ecquivelant ratios (i cant spell)

Answer:

2n + 20

Step-by-step explanation:

Step-by-step explanation:

I can't see good the picture

Answer:

B I'm pretty sure.

Step-by-step explanation:

Answer: im in 100% sure but i think its yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

I used photomath

Answer:

D

Step-by-step explanation:

took the test

The expression is equivalent to (n² - 7n + 12) is (n-4)/ (n+4).

The correct option is D.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

We have,

(n² - 7n + 12) / (n-3)(n+4)

So, Factorizing (n² - 7n + 12)  

= (n² -3n - 4n +12)

= n(n-3)- 4(n-3)

= (n-3)(n-4)

Then, (n² - 7n + 12) / (n-3)(n+4)

= (n-3)(n-4)/ (n-3)(n+4)

= (n-4)/ (n+4)

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Answer: C

Step-by-step explanation:

992/4=165

846/6=141

165+141=306

(992/4) + (846/6) = 306 total calories consumed

It's A. B doesn't really make sense ("derivative of the differential equation" is somewhat nonsensical, "derivative of an equation" is not meaningful).

More to the point: Slope fields are used to visualize solutions to differential equations of the form

y' = f(x, y)

You take some point (x, y) and evaluate y' at the point. This gives the slope of the line tangent to the particular solution to the DE that passes through the point (x, y ).

Sample several points and evaluate y' at those points and you get several different slopes.

Simple example:

y' = x ² - y ² = (x + y ) (x - y )

Let's take the points (1, 1), (-1, 0), and (2, -2), at which we get slopes

y' = f (1, 1) = 0

y' = f (-1, 0) = 1

y' = f (2, -2) = 0

From here, you can get particular solutions that pass through a certain point by interpolating the slopes of the tangents to the solution. I've attached a slope field for the example here at the points listed above. (In the order red, green, black). Each light gray arrow in the background shows the slope of the tangent line.

If you're still unsure how the slope field is generated, I suggest looking up videos on the subject. The process is a bit difficult to describe without a dynamic visual aid.

Answer:

B

Step-by-step explanation:

The solution set for the quadratic equation (2x - 7)² = 25 is 6 and 1.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

The solution set for a quadratic equation is the roots of the quadratic equation.

Given, (2x - 7)² = 25.

2x - 7 = ± 5.

2x = ± 5 + 7.

x = (± 5 + 7)/2.

x = 12/2 Or 2/2.

x = 6 or 1.

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Answer:

B.

Step-by-step explanation:

edge2020

Answer:

wait what

Step-by-step explanation:

Answer:

1) [tex]sin \left(\dfrac{- \pi}{12} \right) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]

2) [tex]tan\left(\dfrac{ \pi}{12} \right) = 2 - \sqrt{3}[/tex]

3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = 2 + \sqrt{3}[/tex]

Step-by-step explanation:

1) [tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ})[/tex]

sin(-15°)  = sin(30° + (- 45°)) = sin(30°)cos(-45°) + cos(30°)sin(-45°)

sin(30°)cos(-45°) + cos(30°)sin(-45°) = 1/2 × (√2)/2 + (√3)/2 × (-√2)/2

1/2 × √2/2 + √3/2 × -√2/2 = (√2)/4 - (√6)/4 = ((√2) - (√6))/4

sin(-15°)  = ((√2) - (√6))/4

[tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ}) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]

2) [tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ})[/tex]

tan(15°)  = tan(45° + (-30°)) = (tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°))

(tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°)) = ((-1/√3) + 1)/(1 - (-1/√3))

((-1/√3) + 1)/(1 - (-1/√3)) = (3 - √3)/(3 + √3) = (3 - √3)·(3 -√3)/((3 - √3)·(3 + √3))

(3 - √3)·(3 -√3/((3 - √3)·(3 + √3)) = (9 - 6·√3 + 3)/(9 - 3) = (12 - 6·√3)/6

(2 - √3)

[tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ}) = 2 - \sqrt{3}[/tex]

3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ})[/tex]

tan(75°)  = tan(30° + 45°) = (tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°))

(tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°)) = ((1/√3) + 1)/(1 - 1/√3)

((1/√3) + 1)/(1 - 1/√3) = (3 + √3)/(3 - √3) = (3 + √3)·(3 +√3/((3 - √3)·(3 + √3))

(3 + √3)·(3 +√3/((3 - √3)·(3 + √3)) = (9 + 6·√3 + 3)/(9 - 3) = (12 + 6·√3)/6

(12 + 6·√3)/6 = 2 + √3

[tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ}) = 2 + \sqrt{3}[/tex]

Answer:

Step-by-step explanation: so

First you should have paired attention and I don’t understand either sorry!

Answer:

It's 3 and 177.

Step-by-step explanation:

Let the angle be x°. Then its supplementary is 59x°.

We know,

x+ 59x=180

or, x = 3°

and another angle, 59x°= 177°

Answer:

y = x - 2

Step-by-step explanation:

Find the slope using rise over run

(y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-5 - 4) / (-3 - 6)

-9 / -9

= 1

Using y = mx + b, plug in the slope and a point to solve for b:

y = mx + b

4 = 1(6) + b

4 = 6 + b

-2 = b

Plug in the slope and b to y = mx + b

y = 1x - 2

y = x - 2

So, the equation of the line is y = x - 2

Answer:

dT/dt = k(T-75)

Step-by-step explanation:

dT/dt = the rate of change of the egg's temperature T with respect to time t

k = constant

(T-75) = difference between the egg's temperature and the room temperature 75 degree

The relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

From the Newton's law of cooling, the rate of cooling of any object depends on the temperature difference between the object and the surroundings. This is usually expressed in a differential equation.

In this particular instant, the differential equation that shows the relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

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