5x+3y=25 and 3x+4y=26 solve by substitution!

The equivalent equation is 3x − 2y + 5.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Given that equation as:

⇒ 8 + 3x − 2y − 3

Rearrange the terms and apply arithmetic operations

⇒ 3x − 2y + 8 − 3

⇒ 3x − 2y + 5

Hence, the equivalent equation is 3x − 2y + 5.

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The conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days.

What is confidence interval ?

A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence.

To determine if the conditions for inference with a confidence interval have been met, we need to check the following assumptions:

Since the sample sizes are greater than 30 for both men and women, we can assume normality based on the Central Limit Theorem.

Also, since the samples are selected independently and randomly, the assumption of independence is met.

Therefore, the conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital.

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Answer:

2710 is the answer

Step-by-step explanation:

1800+130(7)

5-7 hours i think, not 100% sure

Step-by-step explanation:

if you have any answer choices can you please list them? I'm not sure if this is correct but I'm guessing it'll take them both 5ish hours. Since Rachel can finish it in 5 hours but Carl takes longer, either they'll get it done in 5 hours or may it'll take a longer like 6 hours if Carl slows Rachel down. hope this helps!

Answer: 3 hours

Step-by-step explanation:

If she can do it in 5 and he, in 8 then subtract 5-8 and you get 3. Together they can complete this in 3 hours. Have a great day!

Answer:

A 02

Step-by-step explanation:

If f(x) is a third degree polynomial function, 0 or 2 distinct imaginary roots are possible.

A polynomial is a mathematical expression made up of variables and coefficients that have been combined using arithmetic operations like addition, subtraction, multiplication, and exponentiation (raising to a power).

According to the fundamental theorem of algebra, a polynomial of degree n has exactly n complex roots, some of which may be repeated.

A third degree polynomial function can only have three roots, whether real or complex (including imaginary).

As a result, the number of distinct imaginary roots for a third degree polynomial function can be either 0 or 2. 0 or 2 is the correct answer.

Thus, the answer is 0 or 2.

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The length of the electric post can be found using the concept of similar triangles. The ratio of the length of the electric post to the length of its shadow is equal to the ratio of the length of the vertical rod to the length of its shadow.

Let's denote the length of the electric post as x. According to the given information, the length of its shadow is 108 ft.

Using the proportion:

x/108 = 11/18

To solve for x, we cross-multiply:

18x = 108 * 11

Dividing both sides by 18:

x = (108 * 11) / 18

Calculating this, we find that the length of the electric post is approximately 66.67 ft.

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Answer:

y = 8

Step-by-step explanation:

using the tangent ratio in the right triangle and tan45° = 1 , then

tan45° = \(\frac{opposite}{adjacent}\) = \(\frac{y}{8}\) = 1 , then

y = 8

Answer:

8

Step-by-step explanation:

See attached image.

Answer:

If you mean 10/9 then the answer should be 1.1 repeating itself

Step-by-step explanation:

Answer:

1.111

Step-by-step explanation:

10/9 = 1.111

( i rounded 10/9 to a decimal)

am not 100% about this but hope it help

There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

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4|3x-5|-5=-1

|12x-20|-5= -1

|12x-20|= -1+5

|12x-20|= 4

x1-> 12x-20= 4

12x= 4+20

x= 24/12

x=2

x2-> -12x+20 = 4

-12x = 4-20

-12x= -16

x= -16/-12

x= 4/3

Answer:

A

Step-by-step explanation:

cannot be B because the slope is positive, not negative

cannot be D because the y-intercept is 8, not negative 8

The total perimeter will be 4x^+17 and length be 22.76 cm

As per the data given in the questions,

We have, the shape of the sandwich be rectangular.

We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),

where, l = length of the rectangle

and, b = breadth of the rectangle

The expression for the perimeter of the sandwich would be:

2 (2x^2 + 9) + 2 (2x^2 + 8)

= 4x^2 + 26

Now for finding the length of the crust,

we will put the value of x=1.2,

So, the value of the approximate length of the crust would be:

=4x^2 + 26

= 4 * 1.2^2 + 26

= 22.76 centimetres.

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Answer:

Step-by-step explanation:

D

Answer:

43

Step-by-step explanation:

multiply 4 x c(12)=48

then just plug it in and solve

82-48=34

34+9=43

Answer:

The answer is B.

Step-by-step explanation:

so from R to S is 180 degrees and if R to P is 130 degrees then you need to subtract 180 from 130 which gives you 50.

Answer:

0.17 of a cup more sugar.

Step-by-step explanation:

1.6-1.43=0.17

Answer: h=6

Step-by-step explanation:

The problem of unit root in standard regression and time-series models arises when a variable exhibits a non-stationary behavior, meaning it has a trend or follows a random walk. Unit root tests, such as the Dickey-Fuller and augmented Dickey-Fuller tests, are used to detect the presence of a unit root in a time series. These tests examine whether the coefficient on the lagged value of the variable is significantly different from one, indicating the presence of a unit root.

In standard regression analysis, it is typically assumed that the variables are stationary, meaning they have a constant mean and variance over time. However, many economic and financial variables exhibit non-stationary behavior, where their values are not centered around a fixed mean but instead follow a trend or random walk. This presents a problem because standard regression techniques may produce unreliable results when applied to non-stationary variables.

Time-series models, such as autoregressive integrated moving average (ARIMA) models, are specifically designed to handle non-stationary data. They incorporate differencing techniques to transform the data into a stationary form, allowing for reliable estimation and inference. Differencing involves computing the difference between consecutive observations to remove the trend or random walk component.

The Dickey-Fuller test and augmented Dickey-Fuller test are commonly used to detect the presence of a unit root in a time series. These tests examine the coefficient on the lagged value of the variable in a regression framework. The null hypothesis of the tests is that the variable has a unit root, indicating non-stationarity, while the alternative hypothesis is that the variable is stationary.

The Dickey-Fuller test is a simple version of the test that includes only a single lagged difference of the variable in the regression. The augmented Dickey-Fuller test extends this by including multiple lagged differences to account for potential serial correlation in the data. Both tests provide critical values that can be compared to the test statistic to determine whether the null hypothesis of a unit root can be rejected.

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The probability that a randomly chosen light bulb lasts more than 10,500 hours is 0.0668 (rounded to four decimal places).

The probability that a randomly chosen light bulb lasts more than 10,500 hours is 0.0668(rounded to four decimal places).Here's how to calculate it:Given data mean μ = 9,000 and standard deviation σ = 1,000.To calculate the probability that a random light bulb lasts more than 10,500 hours, convert the problem to a standard normal distribution.

z = (10,500 - μ)/σ = (10,500 - 9,000)/1000 = 1.50

Here's the standard normal distribution curve with the shaded area representing the probability required: Standard normal distribution curve with the shaded area

Now, the area under the curve to the right of z = 1.5 is the probability that a randomly chosen light bulb will last more than 10,500 hours.

Using the Z table, we can look up the value corresponding to a z-score of 1.5. The table gives us a value of 0.9332.Now, the area to the left of z = 1.5 is 1 - 0.9332 = 0.0668, which is the probability that a randomly chosen light bulb lasts more than 10,500 hours, rounded to four decimal places.

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\(( - 11 - 7i)(2 + 6i) \\ = - 22 - 66i - 14i - 42 {i}^{2} \\ = - 22 - 80i + 42 \\ = 20 - 80i\)

I hope I helped you^_^

Answer:

20-80i

Step-by-step explanation:

(-11-7i)(2+6i)

-22-14i-66i-42i^2 where i^2=-1

-22-14i-66i-42(-1)

-22-14i-66i+42

-22+42-14i-66i

20-14i-66i

20-80i

Please mark me as Brainliest if you are satisfied with the answer.

Answer:

it would be 36

Step-by-step explanation:

Answer:

0.05 x 0.04 = 0.002

Step-by-step explanation:

Given:

5 column (hundred grid) = 5/100 = 0.05

4 row (hundred grid) = 4/100 = 0.04

Find:

Area equation

Computation:

Area equation = 0.05 x 0.04

0.05 x 0.04 = 0.002

Answer:

a = 7.5

Step-by-step explanation:

7*3(2a-1) over 7 = 6.7

(2a-1) = 42/3

2a-1=14

2a=13

a=7.5

I hope this helps you out!

Answer:

put 6 over 1 then look for the LCM of 7 and 1 the LCM is 7 then ask yourself how times does seven go into 7 one time right so multiply 1 by 3(2a - 1) then ask yourself how many times does 1 go into 7 it goes 7 times right multiply 7 by 6 so your equation is like this 3(2a - 1) = 42 open the bracket so it will be 6a - 3 = 42 collect the like terms so 3a = 42+3, 3a =45 , divide both sides by 3 so x =15

Answer:

x + y = 248

Step-by-step explanation:

Using the property : Sum of co- interior angles = 180

\(\angle y + 56 = 180\\\\\angle y = 180 - 56 = 124\\\\\angle x + 56 = 180\\\\\anle x = 180 - 56 = 124\\\\\angle x + \angle y = 124 + 124 = 248^\circ\)

The value of 'x' and 'y' are 124° and 124°, respectively. Thus, the value of the expression x + y will be 248°.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.

According to the definition, the value of 'x' and 'y' will be equal.

And the sum of adjacent angles will be 180 degrees. Then the equation is given as,

x + 56° = 180°

x = 124°

The sum of 'x' and 'y' is given as,

x + y = 124° + 124°

x + y = 248°

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Look at the coordinates - 1 soccer ball = $6.00

2 soccer balls = $12.00

3 soccer balls = $18.00

So the answer is 6

(The question says to just enter the number, so no unit/no dollar sign)

We want to write and solve a system of equations to model the given situation.

The answers are:

A)

y =  50 + 4*x

y = 17 + 7*x

B) after 11 weeks.

C) 94 subscribers.

First, we must find the two linear equations, we know that Robin has 50 subscribers and she gets another 4 per week.

Then for Robin, we can write:

y = R(x) = 50 + 4*x

The equation that models the number of subscribers that Robin has at week x.

Dimitri at the moment has 17 subscribers and wins 7 per week, then his equation is:

y = D(x) = 17 + 7*x

A) Then the system of equations is just:

y =  50 + 4*x

y = 17 + 7*x

B) Now we must solve the system.

Notice that in both equations we have y isolated, then we can write:

50 + 4*x = y = 17 + 7*x

50 + 4*x =17 + 7*x

Now we can solve this for x:

50 + 4*x =17 + 7*x

50 - 17 = 7*x - 4*x

33 = 3*x

33/3 = 11 = x

This means that at week 11 they will have the same number of subscribers.

C) To get this we just need to evaluate any one of the two linear equations in x = 11

D(11) = 17 + 7*11 = 94

Both of them will have 94 subscribers.

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If net of a rectangular prism with dimensions 4 and one-half centimeters by 3 centimeters by 8 and one-half centimeters, the surface area of the rectangular prism is 154.5 cm². So, correct option is B.

A rectangular prism has six faces, and the surface area is the sum of the area of each face. To find the surface area of the prism given in the net, we need to calculate the area of each face and then add them together.

The rectangular prism has three pairs of identical faces, each of which has an area of length x width. Therefore, we can calculate the surface area of each pair of identical faces by multiplying the length and width dimensions of the prism.

The first pair of identical faces has dimensions 4.5 cm x 3 cm.

The area of one face = (4.5 cm) x (3 cm) = 13.5 cm².

So, the area of both faces = 2 x 13.5 cm² = 27 cm².

The second pair of identical faces has dimensions 4.5 cm x 8.5 cm.

The area of one face = (4.5 cm) x (8.5 cm) = 38.25 cm².

So, the area of both faces = 2 x 38.25 cm² = 76.5 cm².

The third pair of identical faces has dimensions 3 cm x 8.5 cm.

The area of one face = (3 cm) x (8.5 cm) = 25.5 cm².

So, the area of both faces = 2 x 25.5 cm² = 51 cm².

To find the total surface area, we add up the areas of all the faces:

Surface area = 27 cm² + 76.5 cm² + 51 cm² = 154.5 cm².

So, correct option is B

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Given the proportional relationship between the time  Whitney spends babysitting (in hours), x, and the amount of money she earns babysitting (in dollars), y, she needs to babysit for 2 hours to earn $12.

A proportional relationship refers to the relationship between two or more values with equal ratios.

Proportions are relative values or ratios, depicted in fractions, percentages, or decimals.

Equation, y = 6x

Where y = the amount of money Whitney earns babysitting (in dollars)

And x = the hours of babysitting

If y = $12, the number of hours that Whitney needs to babysit is 2 hours ($12/$6)

y = 6x

6x = y

x = y ÷ 6

x = 12 ÷ 6

x = 2

Check:

12 = 6x

12 = 6(2)

12 = 12

Thus, based on the equation modeling the proportional relationship, Whitney should work 2 hours.

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y. The equation that models this relationship is y = 6x. How long does Whitney need to babysit to earn $12? Write your answer as a whole number or decimal.

The original short-run supply curve shifts left, causing the market price to decrease to P2 and the quantity to decrease to Q2.

As a result, some firms exit the market, causing the short-run supply to shift back to the right and the market to return to equilibrium at a lower quantity, Q3, and the same price, P2.

When demand decreases, the original short-run supply curve shifts leftward as firms reduce production to meet the lower demand. This causes the market price to decrease to P2 and the quantity to decrease to Q2.

At this lower price, some firms may exit the market if they are unable to cover their costs, causing the short-run supply curve to shift back to the right.

As a result, the market quantity decreases further to Q3, and the market returns to equilibrium at the same price, P2. In the long run, the supply curve may shift further to accommodate the lower demand, resulting in a new equilibrium price and quantity.

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