can u solve it..
my sister need help
​

To see the graph, the inequality pairs with  y≤ −2x−1  to complete the system of linear inequalities is

y > -2x + 2.

Given,

In the question:

The inequality is given as:

y ≤ −2x−1

Now, According to the question:

The upper part of the graph must be an inequality that doesn't include the actual boundary line because such is represented with a dotted line instead of a solid one (so the equal sign must NOT be in the inequality).

The boundary line for the upper section has also the same slope as the one given (-2), and we also see that it goes through the value 2 on the y-axis, so such line in slope y-intercept form must be: y = -2x + 2

Since we need to include the (x, y) values on the plane that are "larger than" (y-value above) the boundary line we found, we need to select the "greater than" symbol for the inequality and :

y > -2x + 2.

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The time taken for the cargo to hit the ground will be 0.6 seconds and it travels in the horizontal direction for around 14.69 feet.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

The calculations are attached in images.

To calculate t we will use that is y because at the moment of cargo will have a height 0, so we get,

= −4.9t² +1.75

-1.75=-4.9t²

t²=-1.75/-4.9

t²=√0.3571

=0.6 seconds

Now we will calculate x, then y = 0

because since the cargo will be on the ground it will no have height, so

0= -0.0081x²+1.75

-1.75 =-0.0081x²

x²=-1.75/-0.0081

x= √216.04 = 14.69 feet

It will take the cargo 0.6 seconds to hit the ground, and it will travel 14.69 feet in a horizontal direction.

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Answer:

26√2 ≈ 36.8 units

Step-by-step explanation:

Triangle is isosceles

x² = 26² + 26²

x = \(\sqrt{26^2(2)}\) = 26√2 ≈ 36.8 units

Answer:

5

Step-by-step explanation:

Answer/Step-by-step explanation:

The corresponding side lengths of two triangles are always equal. Apply this in solving for x

4. \( \frac{9}{6} = \frac{x}{5} \)

Cross multiply

\( 6*x = 5*9 \)

6x = 45

divide both sides by 6

y = 7.5

5. \( \frac{10}{8} = \frac{x}{11} \)

Cross multiply

\( 8*x = 10*11 \)

8x = 110

divide both sides by 8

x = 13.75

6. \( \frac{12}{x} = \frac{7}{4} \)

Cross multiply

\( x*7 = 12*4 \)

7x = 48

divide both sides by 7

x = 6.86 (nearest hundredth)

The most likely mean for the sample distribution is option c. negatively skewed.

Based on the given information, we know that the mean (M) is less than both the median and the mode. This suggests that the distribution is skewed to the left (negatively skewed), with a long tail on the left side of the distribution.

The mean of a sample distribution is the average value of all the observations or measurements in the sample. It is calculated by adding up all the values in the sample and dividing the sum by the total number of observations in the sample.

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My sample will include people who are  older. I will survey those people through an online survey that I will send out email or post

I will use targeted ads on social media platforms ,I will also use search engine optimization (SEO)to ensure that my survey is seen by the right people. The survey will be conducted over a  two weeks. In order to ensure that I get a representative sample of people, I will use demographic and psychographic targeting. This will include targeting people based on their age, gender, location, interests, and other relevant characteristics. My sample will include people who are  older. I will survey those people through an online survey that I will send out email or post

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Answer:

Ok

Step-by-step explanation:

So, the domain is the set of all possible values that can be inputted into the function. Or where is function on the x axis is the function defined. The range is similar but on the y axis. In this case, the function you have there appears to go on to infinity (I assume that is what the arrow means) and so the range would be [-1, -infinity) and domain [1, infinity). Brackets are important here because it shows that the function is still defined at point (1,-1), therefore, I used [ bracket symbol (I again assumed that the shaded in black dot at point (1,-1) means that the function is closed at that point and that when it is not shaded in, it is open). I feel like I didn't explain very well but good luck and hopefully someone does a better job that what I did.

Using the formula of compound interest and simple interest, the investment option that is better is at interest rate of 3.99% which is compounded monthly

To compare the investment options, you need to calculate the future value of each investment after 8 years. Here's a breakdown of each option:

A. 3.99% compounded monthly: This option earns interest every month and compounds, meaning the interest is added to the principal, so future interest is earned on the increased principal amount. This type of interest compound is the most advantageous to the investor. The formula for calculating the future value for this option is:

FV = P * (1 + r/n)^(nt)

FV = 12000(1 + 0.0399 / 12) * (12 * 8)

FV = $16,503.58

where P is the principal ($12,000), r is the annual interest rate (3.99%), n is the number of times the interest is compounded in a year (12 times), t is the number of years invested (8 years).

B. 4% compounded quarterly: This option earns interest every quarter and compounds. The formula for calculating the future value is the same as option A, with the only difference being the number of times the interest is compounded in a year (n=4).

Substituting the values into the formula;

FV = $16,499.29

C. 4.175% compounded annually: This option earns interest once a year and compounds. The formula for calculating the future value is the same as options A and B, with the only difference being the number of times the interest is compounded in a year (n=1).

Substituting the values into the formula

FV = $16,645.21

D. 4.2% simple interest: This option earns interest once a year based on the original principal amount and does not compound. The formula for calculating the future value for this option is:

FV = P(1 + rt)

FV = 12000 (1 +  0.042 * 8)

FV = $16032

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2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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Answer:

compounded continuously

Step-by-step explanation:

compounded continuously occurs more frequently than daily

Answer:

-0.16666666666666

Step-by-step explanation:

-.16

Answer:

0.1667

Step-by-step explanation:

AT 25 SQUARE FEET OF FLOORING

CHOOSE WOODY'S HARDWOOD FLOORING

Typically, the price of engineered hardwood flooring is $6 to $10 per square foot, plus $1.75 to $2.20 per square foot for installation. High-quality hardwood flooring typically costs between $6 and $13 per square foot from customers. Your home renovation project could be very stressful. Expectations, timeframes, budgets, and the cost of flooring contractors all need to be harmonized.

There will always be a time when you want to give up on the renovation project. For some reason, finding someone to install your flooring is usually the first step.

1 - 8s + 150 = 6s + 200

      2s = 50

         s= 25 sq.feet

2 - 120 * 8 + 150 = 1110

      120 * 6 + 200 = 920

1110 > 920

so choose woody's hardwood flooring.

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Answer:

Step-by-step explanation:

Sets B and C have nothing in common and therefore B ∩ C = empty set

Answer:

a: 0.5 + 0.3 = 0.8

b: 2.7 + 28.2 = 30.9

c: 3.1 + 2.4 + 9.9 = 15.4

d: 15.2 + 1.4 + 0.8 = 17.4

e: 39.2 + 2.5 + 0.8 = 42.5

Step-by-step explanation:

I did the assignment and I got it right

That's a Congruent Triangle question.

The first thing that we should to analize is it: What figure is EFGH? The question say for us that \(\overline{EF} \cong \overline{GH}\) and \(\overline{EH} \cong \overline{GF}\), therefore, EFGH is a parallelogram because its parallel sides are congruents (equals).

Now, we should to proof that \(\triangle EFH \cong \triangle GHF\). The simbol "≅" means congruence, that is, \(\triangle EFH \cong \triangle GHF\) means that the triangles EFH and GHF are equals.

Let's proof:

\(\overline{HF}\) is a diagonal of the parallelogram EFGH. When we have a diagonal in a parallelogram, the opposite angles are congruents (look at the picture: the blue angles are congruent and the red angles are congruents too). Therefore, \(E\hat{F}H \cong F\hat{H}G\) and \(E\hat{H}F \cong H\hat{F}G\).

Both triangle has a comum side: the diagonal \(\overline{HF}\). The diagonal \(\overline{HF}\) is between two angles that we know that are congruents, Therefore, by the case ASA (Angle, Side, Angle), we proof that \(\triangle EFH \cong \triangle GHF\).

According to the information, the probability that exactly four accidents will occur on this stretch of road each of the next two months is 0.0053

To find the probability of exactly four accidents occurring each of the next two months, we can use the Poisson distribution. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space.

The formula for the Poisson distribution is:

Where:

Given that the mean number of accidents in a month is 7.5, we can calculate the probability of exactly four accidents using the Poisson distribution formula:

Calculating this probability for one month, we get:

Since we want this probability to occur in two consecutive months, we multiply the probabilities together:

According to the information, the probability that exactly four accidents will occur on this stretch of road each of the next two months is approximately 0.0053.

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Answer:

Step-by-step explanation:

1 is correct

2 is correct

3 is wrong

4 is correct

5 is correct

6 is wrong

7 is wrong

For 7:

360 - 90 - 61 - 65

= 144

For 6:

180 - 144

= 36

For 3:

180 - 115 - 36

= 29

Answer: true

Step-by-step explanation: In algebra, a binomial is a polynomial that is the sum of two terms, each of which is a monomial. ... It is the simplest kind of polynomial after the monomials.

Answer:

true

Step-by-step explanation:

binomial —A polynomial with exactly two terms is called a binomial.

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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Answer:

105 minutes

Step-by-step explanation:

The rate for Kyra =

2 miles = 30 minutes

7 miles = x

Cross Multiply

2x = 7 × 30

x = 210/2

x = 105 minutes

Answer:

150

Step-by-step explanation:

Answer:

Can you post a picture of the figure?

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Answer: Margo does 48 activities in 4 weeks.

Step-by-step explanation:

In the calendar,

Red dots represent homework, yellow dots represent work, and green dots represent practice.

On a typical week , she uses 5 red dots, 3 yellow dots, and 4 green dots.

That means , total activity he does in a week = 5+3+4=12

Then, total activities in 4 weeks = 4 x 12 = 48

Hence, Margo does 48 activities in 4 weeks.

Answer:

B

Step-by-step explanation:

40x(amount noel worked) because he is charging 40$ at a rate of 40 p/h so it is B.

angle D ..............

...

Using Euler integration, the next values of x and y can be determined as follows:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.

To determine the next values of x and y, we use the following formulas:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Substituting the given values into the formulas, we have:

x_next = 2 + 5 = 7

y_next = 8 + 5 * 9 = 53

Therefore, the updated values of x and y using Euler integration are x=7 and y=53.

It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.

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There are 3 cases to consider when determining horizontal asymptotes:

1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)

2) Case 2: if: degree of numerator = degree of denominator.

3) Case 3: if: degree of numerator > degree of denominator.

(1) it takes about 10 hours to thaw a 20-pound turkey in cold water.(2) it takes an additional 0.25 hours (or 15 minutes) to thaw in the refrigerator.

A linear function is a function that represents a straight line in the coordinate plane. For example, y = 3x - 2 represents a straight line in the coordinate plane and thus a linear function. Since y can be replaced by the function f(x), this function can be written as f(x) = 3x - 2.

 a. A typical thawing rate when thawing in the refrigerator  is about 1 day per 4-5 kilograms of turkey meat. So if you have a 20 pound turkey, it will take about 4-5 days to thaw in the fridge. In cold water, the thawing rate  is about 30 minutes per pound, so it takes about 10 hours to thaw a 20-pound turkey in cold water.

b) The initial value may represent the weight of the frozen turkey before thawing begins. c. Let y be the time it takes to thaw the turkey in hours and let x be the weight of the turkey in pounds. Assuming a linear relationship between melting time and weight, we can write:

y = mx + b

where m is the thaw rate (in hours per pound) and b is the intercept (the time it takes to thaw a 0-pound turkey, which is 0). From part a, we know that the refrigerator thaw rate  is about 1 day per 4-5 pounds of turkey, or about 0.25-0.2 hours per pound. So we can use m = 0.25 in our linear function:

y = 0.25x + 0

This means that for every additional pound of turkey, it takes an additional 0.25 hours (or 15 minutes) to thaw in the refrigerator.

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The factors that affect the measurements of suspension density in the hydrometer test include particle size, viscosity, temperature, concentration, and the shape and density of the particles themselves. It is important to consider these factors when conducting the test to ensure accurate density measurements

The hydrometer test, which is based on Stokes Law, is used to measure the density of a suspension. Several factors can affect the measurements of suspension density in this test.

1. Particle Size: The size of particles in the suspension can significantly impact the density measurements. According to Stokes Law, the settling velocity of particles is inversely proportional to their size. Smaller particles will settle more slowly than larger particles, leading to lower density measurements.

2. Viscosity: The viscosity of the liquid medium in which the particles are suspended can also affect density measurements. Higher viscosity will increase the resistance to particle settling, resulting in slower settling velocity and lower density readings.

3. Temperature: Changes in temperature can affect the viscosity of the liquid medium, which in turn can influence the density measurements. Higher temperatures generally decrease the viscosity, allowing particles to settle more quickly and leading to higher density readings.

4. Concentration: The concentration of particles in the suspension can impact density measurements. Higher concentrations may lead to interactions between particles, such as aggregation or clustering, which can affect settling behavior and result in inaccurate density readings.

5. Shape and Density of Particles: The shape and density of the particles themselves can also influence density measurements. Irregularly shaped particles or particles with higher densities may settle differently than spherical particles with lower densities, leading to variations in density readings.

To summarize, the factors that affect the measurements of suspension density in the hydrometer test include particle size, viscosity, temperature, concentration, and the shape and density of the particles themselves. It is important to consider these factors when conducting the test to ensure accurate density measurements.

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