Isabel lleva recorrido 13.28 km y en la última hora avanzado 6.09 km más en qué lugar se encuentra ahora

The inequality tha calculates the possible values of x is x < 2

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

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

\(9a + 4b\)

Step-by-step explanation:

Multiply:

\((2)5a + 2(2b) - a\)

\((10a + 4b) - a\)

Simplify:

\(9a + 4b\)

The simplification of the given expression 2(5a+2b) − a will be 9a + 4b.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

Expression is very useful to determine the end or root value of constraint.

As per the given expression,

2(5a+2b) − a

10a + 4b - a

10a - a + 4b

9a + 4b

Hence "The simplification of the given expression 2(5a+2b) − a will be 9a + 4b".

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the size factor will be 2.5.

Through a modification known as dilation, an object can be resized. By dilatation, the objects can be resized or enlarged. This transformation results in a shape that is a perfect replica of the original image. The form's dimensions do vary, though. An expansion or contraction of the original form is required for a dilatation. This shift is referred to as the scale factor.

The size disparity between the new and old photos is referred to as the scaling factor. The centre of dilatation is a fixed point in the plane. The scale factor and the centre of dilation determine the dilation transformation.

Given that the box has been enlarged by a scale factor of 4, its length, width, and volume have all been increased by 4 times from their original values.

as a result, it has dilated to 72.68

The volume of the box is dilated by a scale factor of 2.5 because the beginning amount of cereal was 12 ounces and the final amount was 18.75 ounces.

Hence the size factor will be 2.5.

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Answer:

x = (k + c)/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Property

Step-by-step explanation:

Step 1: Define

5x - c = k

Step 2: Solve for x

Answer:105.60

Step-by-step explanation:your welcome

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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Answer:

sohcahtoa

sine=opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

I don't know what else to say

Answer:

Step-by-step explanation:ncncbnc

Answer:

9

Step-by-step explanation:

You don't need to pass through each edge once.

If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:

A-1-B

A-B

A-2-B

A-1-B-A-2-B

A-2-B-A-1-B

A-B-1-A-2-B

A-B-2-A-1-B

A-1-B-2-A-B

A-2-B-1-A-B

Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.

Hope this helps!

Answer:

c. -13/4.

d. -13/3.

Step-by-step explanation:

c. f(3/2) = (1/2)(3/2) - 4

= 3 / 4 - 4

= 0.75 - 4

= -3.25

= -3 and 1/4

= -13/4.

d. f(-2/3) = (1/2)(-2/3) - 4

= -2/6 - 4

= -1/3 - 4

= -1/3 - 12/3

= -13/3.

Hope this helps!

Answer:

b 97 ft²

Step-by-step explanation:

he needs to paint the big rectangular wall minus the small rectangular window.

so, the painting area is

13×8 - (3 1/2)×2 = 104 - (7/2)×2 = 104 - 7 = 97 ft²

Answer: Point form: ( 3 , -1 )

              Equation form: X= 3 and Y= -1

Step-by-step explanation:

The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.

To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.

Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:

For car service A: y_A = 0.60x + 300 (in cents)

For car service B: y_B = 0.75x (in cents)

To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:

0.60x + 300 = 0.75x

Subtracting 0.60x from both sides:

300 = 0.15x

Dividing both sides by 0.15:

x = 300 / 0.15

x = 2000

Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:

y_A = 0.60(2000) + 300

y_A = 1200 + 300

y_A = 1500 cents or $15.00

So, when each car travels 2000 miles, the charges will be equal at $15.00.

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The length of the perpendicular from the point (1, -3) to the line 5x + 12y + 5 = 0 is 2 units.

To find the length of the perpendicular from a point to a line, use the formula:

D = |Ax₁ + By₁ + C| / √(A² + B²)

Where A, B, and C = coefficients of the line equation Ax + By + C = 0, and (x1, y1) is the point from which the perpendicular is drawn.

Given the line equation 5x + 12y + 5 = 0 and the point (1, -3), substitute these values into the formula:

D = |(51) + (12-3) + 5| / √(5² + 12²)

D = |5 - 36 + 5| / √(25 + 144)

D = |-26| / √(169)

D = 26 / 13

D = 2 units.

Therefore, the length of the perpendicular from the point (1, -3) to the line 5x + 12y + 5 = 0 is 2 units.

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Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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Answer:

p-value = 0.01044

Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )

We reject H₀

Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.

∴ the data is highly inconsistent with the claim

Step-by-step explanation:

Given the data in the question;

x' = 46500

σ = 8000

sample size n = 28

Null hypothesis              H₀ : μ ≥ 50000

Alternative hypothesis  H₁ : μ < 50000

level of significance ∝ = 0.05

Using Test statistics;

Z = [(x' - μ ) / (σ√n)] ~ (0,1)

we substitute

Z = [(46500 - 50000 ) / (8000√28)]  

= -3500 / 1511.85789

= - 2.31

{ since alternative  hypothesis is left tailed } from z-table;

p-value = P( z ≤ -2.32 )

p-value = 0.01044

Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )

We reject H₀

Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.

∴ the data is highly inconsistent with the claim

Answer:

(–1,4)

Step-by-step explanation:

x – y = –5

3x + y = 1

You omit Ys due to their positive and negative signs and you got

4x = –4===> x= –1

and now place –1 inside the upper linear equation and there you have the Y, look

–1 – Y= –5===> –Y= –4===> Y = 4

(–1,4)

Based on the force of 12 pushing upwards, and the force of 39 pushing downwards, the total force is B. 51.

The missing figure is meant to show the total force that is being exerted as a result of the forces pushing upwards and downwards.

To solve this, simply add the forces up:

= Force pushing upwards + Force pushing downwards

Solving gives:

= 12 + 39

= 51

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Answer:

f(x) = x³

g(x) = 2x - 4

A.) (fg)(x) = x³(2x - 4)

= 2x⁴ - 4x³

B.) (f/g)(x) =

\( \frac{ {x}^{3} }{2x - 4} \)

Hope this helps you

Answer:

284.625

Step-by-step explanation:

Arrange the numbers highest to lowest.

Find the middle value in the arrangement.

Answer:

it is a linear function

f(x)=4x-4

Step-by-step explanation:

to find slope we use y2-y1/x2-x1

0-(-4)/1-0

4/1

4 is the slope y=mx+b is the slope intercept where m is the slope and b is the y intercept so to find intercept we look for what y equals when x is 0

when x is 0 y is -4 so the is the y intercept and we enter it into equation

y=4x-4

hopes this helps please mark brainliest

Answer:

-13.608

Step-by-step explanation:

-1.89 * 7.2

- (1.89 * 7.2)

- (13.608)

-13.608

Answer:

-13.608

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

54 + 53 = 107

54

\( \: \: \: \: \: \: \: \: \: \: \: \bold{54 + 53 = 107}\)

Note : To solve a problem like this, all we have to do is find a number that matches the result, in this case it is \(\bold{54}\) and \(\bold{53}\)

\(\therefore\) it gives us a result of \(\bold{107.}\)

Answer: The United States rule is a method for calculating interest and balances on loans that have partial payments during their term. The rule assumes that each partial payment is applied to the interest first, then to the principal. Here's how to use the United States rule to calculate the balance and interest for this loan:

Calculate the daily interest rate by dividing the annual interest rate by 360 (the number of days in a standard year for most loans).

Daily Interest Rate = 15.0% / 360 = 0.04167%

Calculate the interest due for the first partial payment of $5800 made on day 112. Since this payment is larger than the remaining principal, it will pay off the loan entirely and no interest will accrue beyond this date.

Calculate the interest due for the second partial payment of $4350 made on day 196.

Calculate the interest due on the remaining principal at maturity (day 280).

Add up the interest due from each period to get the total interest paid over the life of the loan.

Add up the principal amounts from each payment to get the total amount paid.

Subtract the total amount paid from the original principal to get the balance at maturity.

Balance at maturity = $1450.00 - $10,150.00 = -$8700.00 (which means the lender owes the borrower this amount)

Therefore, the balance at maturity is -$8700.00 (meaning the lender owes the borrower this amount) and the total interest paid over the life of the loan is $8.10.

Answer:

87°

Step-by-step explanation:

all angles in triangle add to 180°

180-47-46=87°

Answer:

87°

Step-by-step explanation:

The all angles addition of a triangle is 180°

so you can combine that give 2 angles and subtract-minus from 180

47+46=93

180-93=87

Check the picture below, the graphs of f(x) and g(x) are on the right-side.

\(\stackrel{parent}{f(x)=|x|}\qquad \qquad g(x)=\stackrel{A}{1}\left|\stackrel{B}{\frac{1}{6}}x+\stackrel{C}{0}\right|+\stackrel{D}{0}~~ \implies ~~g(x)=\left| \frac{1}{6}x \right|\)

Answer:

The probability of rolling a doubles or getting two numbers whose sum is equal to 8 is 0.278.

Step-by-step explanation:

There are a total of N = 36 outcomes when rolling two fair dice.

The outcomes for rolling doubles are: {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}.

So, n (Doubles) = n (D) = 6

The outcomes for rolling a sum of 8 are: {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}

So, n (Sum 8) = n (S8) = 5

Considering the outcomes of the above two events, it can be seen that there is a common outcome, i.e. (4, 4).

So, n (D ∩ S8) = 1

Compute the probability of rolling a doubles or getting two numbers whose sum is equal to 8 as follows:

\(P(D\cup S8)=P(D)+P(S8)-P(D\cap S8)\)

                 \(=\frac{n(D)}{N}+\frac{n(S8)}{N}-\frac{n(D\cap S8)}{N}\\\\=\frac{6}{36}+\frac{5}{36}-\frac{1}{36}\\\\=\frac{6+5-1}{36}\\\\=\frac{10}{36}\\\\=0.278\)

Thus, the probability of rolling a doubles or getting two numbers whose sum is equal to 8 is 0.278.