can someone help me with this

The perimeter of the figure, is represented by the expression, 14x + 16.

The perimeter of a figure is the total length of the outer boundaries of the figure. It is the sum of all the sides of the figure.

The perimeter is used to determine the size of a figure and can be calculated by adding the lengths of all the sides together.

Therefore:

Perimeter of the figure = 4(2x - 1) + 2(3x + 10)

To simplify the expression 4(2x - 1) + 2(3x + 10), we can distribute the constants (4 and 2) to the expressions inside the parentheses.

First, we'll simplify 4(2x - 1) using the distributive property:

4(2x - 1) = 4(2x) + 4(-1) = 8x - 4

Next, we'll simplify 2(3x + 10) using the distributive property:

2(3x + 10) = 2(3x) + 2(10) = 6x + 20

Now we can add the two simplified expressions together:

8x - 4 + 6x + 20 = 14x + 16

So, the simplified form of 4(2x - 1) + 2(3x + 10) is 14x + 16.

Learn more about perimeter of a figure on:

https://brainly.com/question/28164415

#SPJ1

I assume A - B is the complement of B in A, i.e. all elements of A that do not belong to B.

To prove equality between two sets, you have to show they are subsets of one another. To prove one set is a subset of another set, you have to show that any element in the first set belongs to the second set.

So, to show that A - B = A ∩ (C - B), you have to prove

• A - B ⊆ A ∩ (C - B)

• A ∩ (C - B) ⊆ A - B

Left to right:

Let x ∈ A - B.

By definition of set complement, x ∈ A and x ∉ B.

Since A ⊆ C,  x ∈ C.

So x ∈ C - B, and by definition of set intersection, x ∈ A ∩ (C - B).

This proves A - B ⊆ A ∩ (C - B).

Right to left:

Let x ∈ A ∩ (C - B).

By definition of set intersection, x ∈ A and x ∈ C - B.

By definition of set complement, x ∈ C and x ∉ B.

Again by definition of complement, x ∈ A and x ∉ B means that x ∈ A - B.

This proves A ∩ (C - B) ⊆ A - B.

Both sets are subsets of one another, so A - B = A ∩ (C - B).

Answer:

This is how you simplify them

Step-by-step explanation:

1) 1/90

2) 1/2

3) 7/20

9514 1404 393

Answer:

  e = 25.7 m

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  \(e^2=d^2+f^2-2df(\cos{E})\\\\e^2=11.9^2+18.5^2-2(11.9)(18.5)\cos{114^\circ}\approx 662.946\\\\e\approx\sqrt{662.946}\approx25.74774\\\\\boxed{e\approx25.7\text{ m}}\)

These are the transformed functions for each of the four transformations mentioned.

Vertical translation (shift) by k units: f(x) + k

Horizontal translation (shift) by h units: f(x - h)

Vertical stretch/compression by a factor of c: c * f(x)

Reflection across the x-axis: -f(x)

Replace k, h, and c with the desired values to obtain the specific transformed functions.
Here are four common types of transformations:
Vertical translation (shift) by k units: f(x) + k
Horizontal translation (shift) by h units: f(x - h)
Vertical stretch/compression by a factor of c: c * f(x)
Reflection across the x-axis: -f(x)
For the function f(x) = 2x + 3,

let's apply these transformations:
Vertical translation (shift) by k units: f(x) + k -> 2x + 3 + k (where k is the number of units shifted vertically)

Horizontal translation (shift) by h units: f(x - h) -> 2(x - h) + 3 (where h is the number of units shifted horizontally)
Vertical stretch/compression by a factor of c: c * f(x) -> c(2x + 3) (where c is the stretch/compression factor)
Reflection across the x-axis: -f(x) -> -(2x + 3).

For similar question on  functions.

https://brainly.com/question/3831584

#SPJ11

Given:

Score in first round = 5 points

Score in second, third and fourth rounds was identical.

A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round.

To find:

The inequality for the given problem.

Solution:

Let p be the number of points, p, that Steward scored in each of the second, third, and fourth rounds.

Score in first 4 rounds = Score of 1st round + Score of 2nd round + Score of  1s 3rd round + Score of 4th round

Score in first 4 rounds \(=5 + p + p + p\)

                                     \(=5 +3p\)

A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. It means the total score in first 4 rounds must be greater than or equal to 30.

\(5+3p\geq 30\)

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

44 seconds will pass before the planes are at the same altitude.

What do you mean by algebraic expression?

An algebraic expression in mathematics is an expression that consists of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.

There are three main types of algebraic expressions:

Monomial Expression

Binomial Expression

Polynomial Expression

An algebraic expression with only one term is called a monomial.

It is given that plane A is at an altitude of 3500 feet and plane B is at an altitude of 2609 feet. Plane A is gaining altitude at 45.5 feet per second and plane B is gaining 65.75 feet per second.

Let x seconds will pass before the planes are at the same altitude.

Plane A, 3500 + 45.5x

Plane B, 2609 + 65.75x

x is number of seconds of time

When altitudes equal

3500 + 45.5x = 2609 + 65.75x

3500 - 2609 = 65.75x - 45.5x

891 = 20.25x

891/20.25 = x

44 = x

Therefore, 44 seconds will pass before the planes are at the same altitude.

To learn more about the algebraic expression from the given link.

https://brainly.com/question/4344214

#SPJ1

According to the given graph, the variables does not show a proportional relationship because they points do not form an straight line. Remember that the proportional relationship is represents by a straight line whcih passes through the origin.

Answer:

g = he - 10h

Step-by-step explanation:

Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

For such more question on gallons

https://brainly.com/question/28274339

#SPJ8

The total number of significant figures ( numerically as an integer ) in the given measurement 6.07 m is equal to 3.

Here in the measurement 6.07 m

Zero is in between two non zero digit 6 and 7.

Zero is countable.

Total number of significant figure in 6.07 m is 3.

Therefore, the number of significant figure in the 6.07 m is equal to 3.

Learn more about significant figure here

brainly.com/question/29153641

#SPJ4

If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

here, we have,

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.

In Δ PQR and ΔXYZ, as shown in figure,

we can identify that PQ = XY, PR = XZ,

and QR = YZ

and ∠P = ∠X,

∠Q = ∠Y and ∠R = ∠Z.

Then we can say that Δ PQR ≅ ΔXYZ.

Learn more about Triangle congruency click here:

brainly.com/question/30256538

#SPJ1

Answer: D) Side-Angle-Side  (SAS)

Check out the diagram below. Note the color coding to see how the angles and sides correspond to the given information. We aren't given RT = RT, but we use the reflexive property in this case. The angles are between the sides so we use SAS.

We don't have enough information to determine anything about the other angles, so we cannot use AAS or ASA. Also, recall that SSA is not a valid congruence theorem. Luckily the angle is between the sides so we don't have to worry about SSA.

Answer:

the answer is 0.75

Step-by-step explanation:

you divide by 100

Answer: 0.75

Just divide 75 by 100. Hope this helps

Answer:

I think B and C is the answer.

Answer:

Yes, these triangles are congruent by Angle-Side-Angle.

The volume of the prisms are:

1. 432 yd³

2. 36in³

3. 252 m³

4. 240 ft³

5. 576 mm³

6. 144 cm³

7. 343 m³

8. 120 yd³

9. 150 in³

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that;

Now, substitute the value for each of the prisms, we have;

1. Volume = 6 × 6 ×12

Multiply

Volume = 432 yd³

2. Volume = 2 ×9 × 2

Multiply

Volume = 36in³

3. Volume = 9 × 4 × 7

Multiply

Volume = 252 m³

4. Volume = 10 × 8 × 3

Multiply

Volume = 240 ft³

5. Volume = 4 × 12 × 12

Multiply the values

Volume = 576 mm³

6. Volume = 6 × 8 × 3

Volume = 144 cm³

7. Volume = 7 × 7 ×7

Volume = 343 m³

8. Volume = 8 × 3 × 5

Volume = 120 yd³

9. Volume = 5 × 6 × 5

Volume = 150 in³

Learn more about volume at: https://brainly.com/question/1972490

#SPJ1

The calculated measure of m∠PNM is 87 degrees

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

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

Read more about angles at

https://brainly.com/question/31898235

#SPJ1

Option A

A large naturally occurring community of flora and fauna occupying a major habitat, e.g. forest or tundra. A biome is a large area characterized by its vegetation, soil, climate, and wildlife.

Answer:

i forgot, im trying to remeber.

Step-by-step explanation:

The expression represents a quintic polynomial with 4 terms. The constant term is -6, the leading term is x⁵/2, and the leading coefficient is 1/2.

A polynomial expression is a mathematical equation in which the polynomial is set to zero. The equation is made up of variables, non-negative integer exponents, coefficients, arithmetic operations, and an equal sign.

From the polynomial expression given:

\(\dfrac{1}{2}x^5 - 6 - x^4 -5x^2\)

The degree of a polynomial is the highest degree of its terms which helps us to determine the type of polynomial (quintic polynomial). The constant term is -6.

The leading term in a polynomial is the term with the highest degree = x⁵/2. The leading coefficient of a polynomial is the coefficient of the leading term is 1/2.

Learn more about the polynomial expressions here:

https://brainly.com/question/4142886

#SPJ1

Answer:

quadrinomial, 4, -6, 1/2x^5, 1/2

Step-by-step explanation:

quadrinomials are polynomials with 4 terms

constant is the number with no variable

leading term is the term at the beginning

leading coefficient is the number at the beginning

Answer:

When time watching TV increases the grade decreases

Step-by-step explanation:

U just gotta look at the graph and find the relationship

I hope that this helps you out...

The required solution is as follows,
(a) The ratio of all flowers in the vase daisies is 14: 9
(b) The ratio of daisies to roses 9:5

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,

Number of daises in vase = 14 - 5 = 9

(a) The ratio of all flowers in the vase daisies,
= 14 / 9 or 14:9

(a) The ratio of daisies to roses,
= 9 / 5 or 9 : 5

Thus, the required ratio of flowers is given above.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ1

Answer:

a. Country Z's GDP will double in 23 years' time, given the experts prediction of 5% growth for 3 and 3% thereafter.

b. Z's GDP 's growth rate would be 39%.

This growth rate is calculated by determining Z's GDP from the end of 2025 as 292,000.  So, (292,000 - 210,000)/210,000 x 100 = 39% from the 2019 base year.

Step-by-step explanation:

a) 2019 Country Z's GDP = 210,000

2019 Growth rate = 5%

Future growth rate:

2019 - 2022 = 5%

2022- 2025 = 3%

2025 - so on = 1%

Let Country Z's GDP in 2019 = G₀ = 210,000

n = number of years from 2019

g = growth rate = 5%

(1 + g)ⁿ = increase in GDP as a result of the growth rate and number of years

Gⁿ = GDP in n years

Therefore, Gⁿ = G₀(1 + g)ⁿ

b) With GDP growth of 5% from 2019 to 2022, the GDP will be

= 210,000 (1 + 5%)³

= 210,000 x 1.158

= 243,000 approx.

c) From 2022 to 2025 at 3%, the GDP will be

= 243,000 (1 + 3%)∧20

= 243,000 x 1.817

= 441,531

d) Z's GDP from 2025 with 1% growth and so on, will become double at:

Gⁿ = 265,600(1 + 1%)∧48

= 265,600 x 1.61

= 428,000

48 + 6 = 54 years.

Answer:

196 ft

Step-by-step explanation:

Bc im guessing

Mark as smartest and Brainliest

Answer:both

Step-by-step explanation: I take it on khan and I get it right!

Both methods will work, but Rebecca's one is harder than Pedro's method.

Pedro wants to multiply the whole equation by 10, so he can work with whole numbers which is easier, while Rebecca prefers to just use Bhaskara's formula with the given coefficients.

With that in mind, neither method has a problem, so both will work fine. The only problem that could come is that for Rebbeca, when she wants to evaluate the square root in the Bhaskara's formula, she will get:

\(\sqrt{(-0,7)^2 - 4*0.1*1.2 } = \sqrt{0.01}\)

And that is kinda impossible to compute by hand, but if she has a calculator, everything is fine.

Then we conclude that both methods will work.

If you want to learn more about the quadratic equation:

https://brainly.com/question/1214333

#SPJ2