uating an Expression Evaluate –32 + (2 – 6)(10).

Answer:

2.

Step-by-step explanation:

How has globalisation affected teenagers in your country?

Do you think globalisation is a good idea? Why? / Why not?

I want answer for thisss

The polynomial is written as -x + 3y - 1/7

The values are -1, 3 and - 1/7

Algebraic expressions are defined as expressions that are composed of terms, factors, constants, coefficients and variables,

These algebraic expressions are also composed of arithmetic operations, such as;

From the information given, we have the polynomial as;

-1/7-x+3y

Now, let us rearrange it in the form of the general formula, ax + by + c, we get;

-x + 3y - 1/7

Then, the values are;

a = -1

b = 3

x = -1/7

Hence, the values are -1, 3 and  -1/7

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Answer:

A.

Step-by-step explanation:

Answer:

$3.75

Step-by-step explanation:

You only have to multiply 3 pounds by the $1.25 to get the cost.

Answer:

(x+11), (y+15)

Step-by-step explanation:

the point v gets translated 11 points to the right, so the translation is x+11.

Point v also gets translated 15 points up, so the translation is y+15

1. (-5,-12)

2. (3,-4)

To identify the constant H and K

- You need to write the given equation in vertex form

- Use complete the square method to write in vertex form

- The vertex form is

\(a (x - h) ^{2} + k\)

- after writing the equation in the world storm you can see that there is a h and a k

- Pull the h and the k in into (h,k)

I can't do all of it so I'll do 2 for you and with explanations.

Answer:

The answer is 28y + 63

Step-by-step explanation:

7(4y+9)

=28y+63

Answer: x = 1

Step-by-step explanation:

Simplifying

-4(-6x + 3) = 12

Reorder the terms:

-4(3 + -6x) = 12

(3 * -4 + -6x * -4) = 12

(-12 + 24x) = 12

Solving

-12 + 24x = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + 24x = 12 + 12

Combine like terms: -12 + 12 = 0

0 + 24x = 12 + 12

24x = 12 + 12

Combine like terms: 12 + 12 = 24

24x = 24

Divide each side by '24'.

x = 1

Simplifying

x = 1

Answer:

Step-by-step explanation: heyy... the pic attached below shows all the steps with a brief explanation. I hope it helps u !!!

The perimeter of half of the basketball court is 194 feet.

The basket ball court is divided into two equal halves. The perimeter of the halve of the basket ball court can be calculated as follows:

Therefore, the perimeter is the sum of the whole sides of half of the basket ball court.

Hence,

perimeter of half of the basket ball court = 94 / 2 + 94 / 2 + 50 + 50

perimeter of half of the basket ball court = 47 + 47 + 100

perimeter of half of the basket ball court = 94 + 100

perimeter of half of the basket ball court = 194 feet

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Answer:

For a 200 mile journey, 55.5 liters of fuel

is needed

Step-by-step explanation:

Here, we want to estimate the fuel needed for a 200 mile journey

we can use this by having an average

By adding all and dividing by 6

Mathematically, that will be;

(24 + 59 + 44 + 50 + 59 + 97)/6

= 55.5

The reason for this is because if we added all the lengths and divide by 6, what we get is 200

Thus, if we added the liters of fuel used per each and divide by 6, we can have an estimate for a 200-mile journey

Answer:

so you distrubute the 3 into the parenthesis and you then get 3n+15 is greater than or equal to 3n+8 then you subtract the 3n from the right side from the 3n on the left side and you are left with 15 is greater than or equal to 8

Step-by-step explanation:

Answer:

2 years late but its all reall numbers, good luck!

To solve the problem we must know about the formula of the length of the Arc.

\(\rm{ Length\ of\ Arc = \dfrac{2\pi r \theta}{360^o}\)

The angle made by the arc in the center is 2.7 radians.

Given to us

Let the angle be θ.

Substituting the values in the formula of Length of Arc,

\(\rm{ Length\ of\ Arc = \dfrac{2\pi r \theta}{360^o}\\\\ \)

\(8\ in. = \dfrac{2\pi \times 3 \times \theta}{360^o}\)

\(\theta = \dfrac{360^o\times 8\ in.}{2\pi \times 3 }\\\\ \theta = 152.788^o \approx 152.79^o\)

\(\theta = 152.79^o\\\\ \)

   \(=\dfrac{\theta \times \pi}{180^o}\)

   \(\rm{=2.6666667 \approx 2.7\ radians\)

Hence, the angle made by the arc in the center is 2.7 radians.

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The height of building is 0.2 miles.

The given points form a right angled triangle. Top of the building to base of building is the perpendicular, base of building to the angle of elevation is base and angle of elevation to top of the building is hypotenuse. So, considering this, tan of angle of elevation related the two sides of triangle as follows -

tan theta = perpendicular ÷ base

tan 6° = perpendicular ÷ 2

Perpendicular = 2 × tan 6°

Keep the value of tan 6°

Perpendicular = 2 × 0.1

Performing multiplication

Perpendicular = 0.2 miles

Hence, the height of the building is 0.2 miles.

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y+1=6/11(x+4) is the equation in point-slope form of the line that passes through the points (7, 5) and (−4, −1).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are  (7, 5) and (−4, −1)

m=-1-5/-4-7

=-6/-11

=6/11

The point slope intercept form is y- y₁=m(x-x₁) through (-4,-1)

y-(-1)=6/11(x-(-4))

y+1=6/11(x+4)

Hence, y+1=6/11(x+4) is the equation in point-slope form of the line that passes through the points (7, 5) and (−4, −1).

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Using the trigonometry function, the value of y = 3√2.

The area οf mathematics knοwn as trigοnοmetry is cοncerned with analyzing the relatiοnships between the sides and angles οf a right-angled triangle. A trigοnοmetric ratiο called the sides' ratiο serves as a representatiοn οf the relatiοnship. Trigοnοmetric ratiοs cοme in six varieties: sine, cοsine, tangent, cοtangent, secant, and cοsecant.

Trigοnοmetric functiοns are used tο calculate the lengths and angles οf geοmetric fοrms frοm knοwn οr measured angles. As a result οf the need tο cοmpute angles and distances in numerοus fields, including astrοnοmy, mapmaking, surveying, and artillery range finding, trigοnοmetry was develοped.

Since it is a 90-60-30 triangle, y is s √2

s = 3

so, y = 3√2

y = 3√2

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#Dotted one

Slope

Equation in point slope form

Put (0,0)

So the equation is

#Dark one

Equation in intercept form

Put (0,0)

Equation

a.  MUx = ∂u/∂x1 = 1 - x1

And MUy = ∂u/∂x2 = 1 - x2

b. This suggests that Elena's utility function does not satisfy monotonicity or strict monotonicity.

c. MRSx,y = MUx / MUy = (1 - x1) / (1 - x2)

d. We also have the budget constraint:

Px * x1 + Py * x2 = I

4x1 + 10x2 = 1200

(a) To find the marginal utilities (MUx and MUy), we need to differentiate the utility function with respect to each variable.

Given:

u(x1​,x2​) = (x1​−21​x12​)+(x2​−21​x22​)

Differentiating with respect to x1:

∂u/∂x1 = 1 - 2x1/2 = 1 - x1

Differentiating with respect to x2:

∂u/∂x2 = 1 - 2x2/2 = 1 - x2

So, MUx = ∂u/∂x1 = 1 - x1

And MUy = ∂u/∂x2 = 1 - x2

(b) Monotonicity requires that if x increases, then utility should increase as well. Strict monotonicity requires that utility strictly increases as x increases.

In this case, since MUx = 1 - x1 and MUy = 1 - x2, we can see that both marginal utilities decrease as their respective goods' quantities increase. This suggests that Elena's utility function does not satisfy monotonicity or strict monotonicity.

(c) The Marginal Rate of Substitution (MRS) between two goods, x and y, is given by the ratio of their marginal utilities:

MRSx,y = MUx / MUy = (1 - x1) / (1 - x2)

(d) To find the equilibrium quantities for goods x and y, we need to set the MRS equal to the price ratio Px / Py and solve for x1 and x2.

MRSx,y = (1 - x1) / (1 - x2) = Px / Py = 4 / 10 = 2 / 5

Now we can solve for x1 and x2. Rearranging the equation:

(1 - x1) / (1 - x2) = 2 / 5

Cross-multiplying:

5(1 - x1) = 2(1 - x2)

Expanding:

5 - 5x1 = 2 - 2x2

Rearranging terms:

5x1 - 2x2 = 3

We also have the budget constraint:

Px * x1 + Py * x2 = I

4x1 + 10x2 = 1200

Now we have a system of two equations with two variables. Solving this system will give us the equilibrium quantities for goods x and y.

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Answer:

Ive attached a picture

Step-by-step explanation:

Answer:

D) 168

Step-by-step explanation:

So 12 months in a year

each month tcket sells out for 7 times

2 years=24 months becuase 12*2

Multiply

24*7=168

Answer:

The answer is D

Step-by-step explanation:

24*7 is 168

Answer:

Thanks!

Step-by-step explanation:

I already have it on my phone tho lol

Answer:

its 1.4

Step-by-step explanation:

Answer:

1.4

Step-by-step explanation:

Answer:

slope: 1/2, y-intercept: (0, 13/2), y: 6 and 7

slope: -2, y-intercept: (0,15), y: 9 and 5

Step-by-step explanation:

Answer:

6g=18, p/3.5=2.25,9=100-f

Step-by-step explanation:

Anything that has an equal sign is an equation! Everything without one is called an expression. Hope this helps! If you can, please give a brainly!

The angle the 14 foot long wire must make with the gound is approximately 51 degrees.

A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms two right angle triangle.

Using cosine law,

17² = 14² + 22² - 2 × 14 × 22 cos C

289 - 196 - 484 = -616 cos C

-391 = -616 cos C

divide both sides by -616

cos C = -391  / -616

cos C = 0.63474025974

C = cos⁻¹ 0.63474025974

C = 50.59929658

C = 51 degrees.

Therefore, the angle the 14 foot long wire must make with the gound is approximately 51 degrees.

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Answer:

50.6

Step-by-step explanation:

yes

The correct statements are:

The triangle and trapezoid area formulas have 1/2.

The parallelogram and rectangle formulas are both the same.

In the trapezoid formula, the bases are added.

A triangle is a polygon with three sides and three vertices. A triangle's angles add up to 180 degrees.

Area of a triangle = 1/2 x base x height

A trapezium is a quadrilateral that is convex. A trapezium is made up of at least two parallel sides. Area of a trapezium = 1/2  x (sum of the lengths of the parallel sides) x height

A rectangle is a quadrilateral in two dimensions with four right angles. Area of a rectangle = length x width

A parallelogram is a quadrilateral with two parallel sides. The opposite sides equal in length

Area of a parallelogram = base x height

Hence, the correct statements are options (A), (B), and (D).

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The question seems to be incomplete the correct question would be:

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is

considering how to split up the area. Which statements about the formulas for finding areas are true? Check all that

apply.

A. The triangle and trapezoid area formulas have 1/2.

B. The parallelogram and rectangle formulas are both the same.

C. In the parallelogram formula, the bases are added.

D. In the trapezoid formula, the bases are added.

E. In the triangle formula, the sides are added, then multiplied by 1/2​

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -2 -4}{2}~~~ ,~~~ \cfrac{ 2 + 4}{2} \right)\implies \left( \cfrac{-6}{2}~~,~~\cfrac{6}{2} \right)\implies (-3~~,~~3)\)

The expressions given in option A and option C on solving will have same value 3/2 or 1.5.

Numeric values can be obtained through the evaluation of numeric expressions, which consist of a mixture of numeric components including variables, numbers or functions, and operators. A blend of arrays and mathematical operators can be present within an expression to derive a numeric solution.

Now solving numerical expressions in the problem (refer to image attached)

A. \(\frac{1}{6} +(\frac{5}{6}+\frac{3}{6} ) = \frac{1+5+3}{6} = \frac{9}{6} =\frac{3}{2} =1.5\)

B. \(\frac{1}{3}+ \frac{5}{3}+ \frac{2}{3} =\frac{1+5+2}{3} =\frac{9}{3} =3\)

C. \(\frac{3}{5} +(\frac{1}{2} +\frac{2}{5} )=\frac{15}{10} =\frac{3}{2} =1.5\)

D. \(2+\frac{1}{2} =\frac{4+1}{2} =\frac{5}{2} =2.5\)

Hence, expressions in option A and option C have same values

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Answer:

Ok,first write the 2 points

(0,6)(9,3)

Second,find the slope with this formula

\(m=\frac{3-6}{9-0}\)

\(m=\frac{-3}{9}\)

\(m=\frac{-1}{3}\) this is the slope

The slope intercept form for 2 points is:

y-y1=m(x-x1)

\(y-6=\frac{-1}{3} (x-0)\) This is the final equation.

I hope this help :)

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)