how is solving an equation with the variable on each side similar to solving a two-step equation? (I’ll give brainliest :) )

Answer: 15

Step-by-step explanation:

Area of a triangle = base * height.

Since the inside figure is a square, the base of the triangle must be 5.

To find the height: The length of the entire figure is 17; subtract 5 to account for the square, and you know that the remaining 12 must be divided easily on the right and left side; this shows that the height of the triangle on the left must be 6.

Plug these numbers into the formula: 5 * 6 / 2 = 15 :)

Answer:

the answer is 29

Step-by-step explanation:

The answer is 12 because

the length is 17 then i did minus 5 since that's the width

17-5=12

that's the length for the slanted part then......

12+12=24+5=29

(you get 5 from if you see the straight line on the right is 5 so on the other its the same thing.

Answer:

sup!

the answer is

a point on (0,-1) and (1,3)

Step-by-step explanation:

hope this helps

Answer:

exactly one solution: 3/11 = z

Step-by-step explanation:

-2z + 10 +7z = 16z + 7

combine like terms

5z + 10 = 16z + 7

       -7            -7

5z + 3 = 16z

-5z         -5z

3 = 11z

/11   /11

3/11 = z

The random number generation by the device is not appropriate for generating values according to the Binomial distribution with n=5 and p=0.45.

To test whether the generated values follow the expected Binomial distribution, we can use the Chi-squared goodness-of-fit test. The steps to perform this test are as follows

Define the null hypothesis and alternative hypothesis. In this case, the null hypothesis is that the generated values follow the expected Binomial distribution with n=5 and p=0.45. The alternative hypothesis is that the generated values do not follow this distribution.

Choose a significance level. In this case, the significance level is 0.05.

Calculate the expected frequencies for each category of the Binomial distribution with n=5 and p=0.45. We can use the formula for the Binomial distribution to calculate the probabilities, and then multiply them by the total number of observations to get the expected frequencies.

Expected frequency for each category = P(category) x total number of observations

Expected frequency for category 0 = P(0) x 1200 = 0.0176 x 1200 = 21.12

Expected frequency for category 1 = P(1) x 1200 = 0.1284 x 1200 = 154.08

Expected frequency for category 2 = P(2) x 1200 = 0.3574 x 1200 = 428.88

Expected frequency for category 3 = P(3) x 1200 = 0.4162 x 1200 = 499.44

Expected frequency for category 4 = P(4) x 1200 = 0.1949 x 1200 = 233.88

Expected frequency for category 5 = P(5) x 1200 = 0.0055 x 1200 = 6.6

Calculate the Chi-squared test statistic. The formula for the Chi-squared test statistic is:

Chi-squared = Σ ( (observed frequency - expected frequency)^2 / expected frequency )

where Σ is the sum over all categories. Using the expected frequencies and the observed frequencies from the table, we can calculate the Chi-squared test statistic

Chi-squared = ( (28-21.12)^2 / 21.12 ) + ( (168-154.08)^2 / 154.08 ) + ( (423-428.88)^2 / 428.88 ) + ( (459-499.44)^2 / 499.44 ) + ( (105-233.88)^2 / 233.88 ) + ( (17-6.6)^2 / 6.6 ) = 94.67

Calculate the degrees of freedom. The degrees of freedom for the Chi-squared test are equal to the number of categories minus 1. In this case, there are 6 categories, so the degrees of freedom are 5.

Calculate the P-value of the test. We can use a Chi-squared distribution table or a calculator to find the P-value for the Chi-squared test with 5 degrees of freedom and a test statistic of 94.67. The P-value is less than 0.01 (about 0.000000000000000000000000000000000000000001), so we reject the null hypothesis that the generated values follow the expected Binomial distribution with n=5 and p=0.45.

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The given question is incomplete, the complete question is:

A random number generation device is expected to generate random values according to the Binomial distribution with n=5 and p=0.45. To ensure that the device's random number generation is appropriate, 1200 recently generated random values by this device have been organized in the following table. If the Chi-squared goodness-of-fit test is used with a significance of 0.05 to test whether random values have been appropriately generated by the device, what is the P-value of the test rounded to two places after the decimal, and the decision made?

A positive value c, for x, that satisfies the conclusion of the Mean Value Theorem for Derivatives for f(x) = 3x² - 5x + 1 on the interval [2, 5] is 23/6. The correct answer is C.

The Mean Value Theorem for Derivatives states that there exists a value c in the open interval (a, b) such that:

f'(c) = (f(b) - f(a))/(b - a)

Here, f(x) = 3x² - 5x + 1 and the interval is [2, 5]. Therefore, a = 2 and b = 5.

First, we find f'(x) by differentiating f(x) with respect to x:

f'(x) = 6x - 5

Then, we find f(b) and f(a):

f(b) = 3(5)² - 5(5) + 1 = 61

f(a) = 3(2)² - 5(2) + 1 = 7

Now we can plug in these values to the Mean Value Theorem:

f'(c) = (f(b) - f(a))/(b - a)

6c - 5 = (61 - 7)/(5 - 2)

6c - 5 = 18

6c = 23

c = 23/6

Therefore, the value of c that satisfies the conclusion of the Mean Value Theorem for Derivatives for f(x) = 3x² - 5x + 1 on the interval [2, 5] is 23/6. The correct answer is C.

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In the context of statistics, a statistic refers to a numerical value that is calculated from a sample of data, while a parameter refers to a numerical value that describes a population.

In the given scenario, the number of birds in different regions can be considered as either a statistic or a parameter depending on the context in which it is used.

If the number of birds is obtained by counting the birds in a specific region and then calculating summary measures such as the mean, median, or standard deviation based on that sample, then it would be considered a statistic. This is because the data is collected from a subset (sample) of the entire population of birds.

On the other hand, if the number of birds represents the total count or an average count across all regions without any sampling involved, then it would be considered a parameter. In this case, the value represents a characteristic of the entire population of birds in different regions.

It is important to note that whether the number of birds is considered a statistic or a parameter depends on how the data is collected and analyzed.

If multiple samples are taken from different regions and statistical inference techniques are used to make inferences about the entire population, then it would be appropriate to consider it as a statistic. However, if the data represents a complete count or an average across all regions without any sampling involved, then it would be considered a parameter.

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Answer:

it is .5

Step-by-step explanation:

The row vectors of the matrix are [-2 -3 1 0], and the column vectors are:

In a matrix, row vectors are the elements listed horizontally in a single row, while column vectors are the elements listed vertically in a single column. In this case, the given matrix is a 1x4 matrix, meaning it has 1 row and 4 columns. The row vector is [-2 -3 1 0], which represents the elements in the single row of the matrix. The column vectors, on the other hand, can be obtained by listing the elements vertically. Therefore, the column vectors for this matrix are -2, -3, 1, and 0, each listed in a separate column.

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Answer:

pentagon

Step-by-step explanation:

540 / 5 = 108

Let's say the total work to be done is represented by 1.

On the first day, three-fifths of the work is completed. Therefore, the remaining work to be done is 1 - 3/5 = 2/5.

On the second day, three-quarters of the remainder is completed. The remainder after the first day's work is 2/5. So, the work completed on the second day is 3/4 x 2/5 = 3/10. The remaining work to be done is 2/5 - 3/10 = 1/5.

On the third day, seven-eighths of what remained is done. The remaining work to be done after the second day's work is 1/5. So, the work completed on the third day is 7/8 x 1/5 = 7/40.

Therefore, the fraction of work still remaining to be done is 1/5 - 7/40 = 8/40 - 7/40 = 1/40.

The value corresponding to surviving the year is -$175, indicating the cost of insurance, and the value corresponding to not surviving the year is $119,825, representing the potential death benefit payout.

From the perspective of the 28-year-old male, the monetary values corresponding to the two events can be determined as follows:

a. Surviving the year: Since there is a 0.9988 probability that the male will live through the year, the value corresponding to surviving the year can be calculated as the premium paid for insurance minus any potential payout.

In this case, the male pays $175 for insurance, and since he survives, there is no payout. Therefore, the value corresponding to surviving the year is -$175.

b. Not surviving the year: Since there is a 0.0012 probability that the male will not survive the year, the value corresponding to not surviving can be calculated as the potential payout in case of death minus the premium paid for insurance.

In this case, the death benefit payout is $120,000, and the male has paid $175 for insurance. Therefore, the value corresponding to not surviving the year is $120,000 - $175 = $119,825.

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The value of x = 130°

Reason: same-side-interior angles theorem

The value of y = 130°

Reason: vertical angles theorem

The two angles that are formed on the same side of the transversal that cuts across two parallel lines are supplementary, based on the same-side-interior angles theorem.

If two angles are formed when two lines intersect each other and both angles are directly facing each other and share a common vertex, then, according to the vertical angles theorem, both angles are congruent to each other.

x + 50 = 180 [same-side-interior angles theorem]

x + 50 - 50 = 180 - 50

x = 130°

y° = x° [vertical angles theorem]

Substitute

y = 130°

In summary:

The value of x = 130°

Reason: same-side-interior angles theorem

The value of y = 130°

Reason: vertical angles theorem

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Answer:

x=-5

Step-by-step explanation:

x+2=-3

x+2-2=-3-2

x=-5

im in algebra two so you can trust my answer. happy holidays and stay safe!

Answer:

(i) x + 3 = 0

L.H.S. = x + 3

By putting x = 3,

L.H.S. = 3 + 3 = 6 ≠ R.H.S.

∴ No, the equation is not satisfied.

(ii) x + 3 = 0

L.H.S. = x + 3

By putting x = 0,

L.H.S. = 0 + 3 = 3 ≠ R.H.S.

∴ No, the equation is not satisfied.

(iii) x + 3 = 0

L.H.S. = x + 3

By putting x = −3,

L.H.S. = − 3 + 3 = 0 = R.H.S.

∴ Yes, the equation is satisfied.

(iv) x − 7 = 1

L.H.S. = x − 7

By putting x = 7,

L.H.S. = 7 − 7 = 0 ≠ R.H.S.

∴ No, the equation is not satisfied.

(v) x − 7 = 1

L.H.S. = x − 7

By putting x = 8,

L.H.S. = 8 − 7 = 1 = R.H.S.

∴ Yes, the equation is satisfied.

(vi) 5x = 25

L.H.S. = 5x

By putting x = 0,

L.H.S. = 5 × 0 = 0 ≠ R.H.S.

∴ No, the equation is not satisfied.

(vii) 5x = 25

L.H.S. = 5x

By putting x = 5,

L.H.S. = 5 × 5 = 25 = R.H.S.

∴ Yes, the equation is satisfied.

(viii) 5x = 25

L.H.S. = 5x

By putting x = −5,

L.H.S. = 5 × (−5) = −25 ≠ R.H.S.

∴ No, the equation is not satisfied.

(ix) = 2

L.H.S. =  

By putting m = −6,

L. H. S. =  ≠ R.H.S.

∴No, the equation is not satisfied.

(x) = 2

L.H.S. =  

By putting m = 0,

L.H.S. =  ≠ R.H.S.

∴No, the equation is not satisfied.

(xi) = 2

L.H.S. =  

By putting m = 6,

L.H.S. =  = R.H.S.

Step-by-step explanation:

Answer:

It's the first option: -5, 1 and 4

Answer:

5

Step-by-step explanation:

First the question said that two equal sides of the isosceles triangles is thrice the third side. This means that the two equal sides is 3x while the third side should be represented as x

Secondly, add the three parts together which = 3x+3x+x =7x

Thirdly, then divide both sides by 7= 7x/7 *35/7

Making x=5

Answer:

D

Step-by-step explanation:

We have the two linear equations:

\(\text{ Line 1: }y=3x+3\)

\(\text{ Line 2: }y=-3x-5\)

And we want to determine the relationship between them.

Let's go through each of the answer choices.

Parallel?

Remember that parallel lines have the same slopes.

The slope of Line 1 is 3, while the slope is Line 2 is -3.

Since they have different slopes, they are not parallel.

Perpendicular?

Perpendicular lines have slopes who are negative reciprocals of each other.

For example, the negative reciprocal of 2 will be -1/2. And the negative reciprocal of -1/2 is 2.

The slope of Line 1 is 3. The negative reciprocal of 3 is -1/3. This is not the slope of Line 2.

We can do it for Line 2 just to confirm. The slope of Line 2 is -3. The negative reciprocal of -3 is 1/3.

So, because their slopes are not negative reciprocals of each other, the two lines are not congruent.

Both?

No two lines can be both parallel and perpendicular simultaneously, so this is out of the question.

[N]either?

Yes indeed. They lines are neither parallel nor perpendicular, so this is our only choice.

And we're done!

The quotient of 874 and 23 is 38.

To get the quotient of 874 and 23 using an area model, create a rectangle with an area of 874 and divide it into 23 equal parts.

Each part would depict the value of one of the 23 groups that 874 is divided into. Then count how many of these equal parts fit into the rectangle and this would give the answer to the division problem.

The rectangle can be divided into 23 equal parts horizontally, and then count how many of these parts fit into the rectangle vertically. Start with one part and see how many times we can fit it into the rectangle vertically before reaching a total of 874.

874 ÷ 23 = ( 1 x 23) + ( 7 x 23)

874 ÷ 23 = 23 + 161

874 ÷ 23 = 38

So the quotient of 874 and 23 is 38.

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Answer:

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

This shows that both functions have the same slope.

Answer:143 km/h

159 km/h

Step-by-step explanation: The 1208 km separation distance is closed in 4 hours, so the rate of closure is ...

 (1208 km)/(4 h) = 302 km/h

If s represents the speed of the slower train, then the sum of their speeds is ...

 s + (s+16) = 302

 2s = 286

 s = 143

 s+16 = 159

We have been given an expression \(\left( 4^{-2} \cdot 4^{-3} \right)^{3}\). We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, \(a^m\cdot a^n=a^{m+n}\), we cab rewrite our given expression as:

\(\left( 4^{-2+(-3)} \right)^{3}\)

\(\left( 4^{-5} \right)^{3}\)

Now we will use exponent property \((a^m)^n=a^{m\cdot n}\)to further simplify our expression.

\(\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}\)

\(\left( 4^{-5} \right)^{3}= 4^{-15}\)

Therefore, Chris made mistake in step 2.

Answer:

Solve for y 3/7=15. 37y=15 3 7 y = 15. Multiply both sides of the equation by 73 7 3. 73.37 y=73.15 7 3. 3 7 y = 7 3. 15

Step-by-step explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable. Y=35

Answer:poster 10 hours ago

Step-by-step explanation:

me reads it is due in 10 min

The numerical value of lim y(x) rounded off to five significant figures is -∞.

To solve the initial value problem:

Rearrange the equation.

We have (2x - 6xy + xy²)dx + (1 - 3x² + (2 + x²)y)dy = 0

Group terms and factor.

Rearranging the terms, we get:

(2x - 3x²)dx + (xy² - 6xy + (2 + x²)y)dy = 0

Factoring out common terms, we have:

x(2 - 3x)dx + y(x² - 6x + 2 + x²)dy = 0

Integrate both sides.

Integrating the equation, we have:

∫[x(2 - 3x)]dx + ∫[y(x² - 6x + 2 + x²)]dy = ∫[0]ds

Integrating each term separately, we get:

∫[x(2 - 3x)]dx + ∫[y(x² - 6x + 2 + x²)]dy = C

Evaluate the integrals.

∫[x(2 - 3x)]dx = (2/3)x² - (1/2)x³ + K1

∫[y(x² - 6x + 2 + x²)]dy = (1/2)(x² - 6x + 2)y² + K2

Combining these results, we have:

(2/3)x² - (1/2)x³ + (1/2)(x² - 6x + 2)y² + K1 = C

Apply the initial condition.

y(1) = -4, we can substitute these values into the equation:

(2/3)(1)² - (1/2)(1)³ + (1/2)((1)² - 6(1) + 2)(-4)² + K1 = C

2/3 - 1/2 - 1/2(1 - 6 + 2)(16) + K1 = C

2/3 - 1/2 - 1/2(-3)(16) + K1 = C

2/3 - 1/2 + 24 + K1 = C

-4/3 + K1 = C

So the equation becomes:

(2/3)x² - (1/2)x³ + (1/2)(x² - 6x + 2)y² + (-4/3 + K1) = C

To find the limit of y(x), we need to consider the behavior as x approaches infinity. Let's analyze the equation:

As x approaches infinity, the terms involving x³ and x² will dominate, and other terms become insignificant. So we can ignore the other terms.

Thus, the equation can be simplified to:

(-1/2)x³ = C

Now we can find the limit as x approaches infinity:

lim(x→∞) y(x) = lim(x→∞) (-1/2)x³

Since the power of x is odd and the coefficient is negative, the limit will be negative infinity.

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The resulting triangle is 9/5 the original triangle.

The focuses in the direction planes are A(0, 2), B(2, 1), C(- 2, - 2). In the event that the scale factor is 2, each direction point of the first triangle is duplicated by the scale factor 2. Subsequently, the expanded triangle will be A'B'C' and the direction focuses got are A'(0, 4), B'(4, 2), C'(- 4, - 4).

Let we have a triangle ABC,If this triangle undergoes a dilation with a scale factor of 9/5,

Then changed triangle is  A'B'C'

So, relation between them is A'B'C' = 9/5(ABC)

Thus, the resulting triangle is 9/5 multiple of triangle ABC.

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Answer:

Does the answer help you?

Answer:

102 cm³

Step-by-step explanation:

Volume of R1:

length = 7 cm

Width = 3 cm

Height = 2 cm

Volume = 7* 3  * 2 = 42 cm³

Volume of R2:

length = 5 cm

Width = 4 cm

Height = 3 cm

Volume = 5 * 4 * 3=  60 cm³

Volume of the figure = 42 + 60 =  102 cm³

Answer:

Answer be option second

Answer:

f(x)=y

5x+4=y

5x=y-4

x=y-4/5

inverse of x=(x-4)/5