A board is 59.69cm long. How long is the board in inches ? Use the following conversion 1in is 2.54cm

Answer:

(1,-2)

Step-by-step explanation:

Choose any value for x that is in the domain to plug into the equation.

Choose 0 to substitute in for x to find the ordered pair.

(0, -19/6)

Choose 1 to substitute in for x to find the ordered pair.

Remove parentheses.

y= -19/6 + 7(1)/6

Simplify

y=2

Use the

x and y values to form the ordered pair.

(1,−2)

Answer: 9

Step-by-step explanation:

3/4*12 = 3/4*12/1 = 36/4

36/4 = 9

There's your answer!

By algebra properties, the simplified form of the rational equation 3 / (x + 1) - 1 / (x - 1) - 2 · x / (x² - 1) is equal to - 4 / (x² - 1). (Correct choice: C)

In this question we find a rational equation, whose simplified form must be found by algebra properties. First, write the entire expression:

3 / (x + 1) - 1 / (x - 1) - 2 · x / (x² - 1)

Second, factor all denominators:

3 / (x + 1) - 1 / (x - 1) - 2 · x / [(x + 1) · (x - 1)]

Third, use sum of fractions with different denominators:

[3 · (x - 1) - (x + 1) - 2 · x] / [(x + 1) · (x - 1)]

Fourth, simplify the resulting expression:

(3 · x - 3 - x - 1 - 2 · x) / [(x + 1) · (x - 1)]

- 4 / [(x + 1) · (x - 1)]

- 4 / (x² - 1)

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The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

$1431

Step-by-step explanation:

If Stan pays a 10% deposit, he pays $159. 10% of $1590 is simply 0.1 * 1590 = 159. Assuming this is the only amount he pays, he then simply needs to pay the full price minus $159. We can find this by simply subtracting 159 from 1590 to get 1431. Stan still needs to pay $1431.

Answer:

Yes, the confidence interval contradict this statement.

Step-by-step explanation:

The complete question is attached below.

The data provided is:

\(n_{1}=318\\n_{2}=297\\\bar x_{1}=25\\\bar x_{2}=24.1\\s_{1}=3.6\\s_{2}=3.8\)

Since the population standard deviations are not provided, we will use the t-confidence interval,

\(CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2, (n_{1}+n_{2}-2)}\cdot s_{p}\cdot\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}\)

Compute the pooled standard deviation as follows:

\(s_{p}=\sqrt{\frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2}}=\sqrt{\frac{(318-1)(3.6)^{2}+(297-1)(3.8)^{2}}{318+297-2}}=2.9723\)

The critical value is:

\(t_{\alpha/2, (n_{1}+n_{2}-2)}=t_{0.05/2, (318+297-2)}=t_{0.025, 613}=1.962\)

*Use a t-table.

The 95% confidence interval is:

\(CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2, (n_{1}+n_{2}-2)}\cdot s_{p}\cdot\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}\)

     \(=(25-24.1)\pm 1.962\times 2.9723\times \sqrt{\frac{1}{318}+\frac{1}{297}}\\\\=0.90\pm 0.471\\\\=(0.429, 1.371)\\\\\approx (0.43, 1.37)\)

The 95% confidence interval for the difference between the mean weights is (0.43, 1.37).

To test the magazine's claim the hypothesis can be defined as follows:

H₀: There is no difference between the mean weight of 1-year old boys and girls, i.e. \(\mu_{1}-\mu_{2}=0\).

Hₐ: There is a significant difference between the mean weight of 1-year old boys and girls, i.e. \(\mu_{1}-\mu_{2}\neq 0\).

Decision rule:

If the confidence interval does not consists of the null value, i.e. 0, the null hypothesis will be rejected.

The 95% confidence interval for the difference between the mean weights does not consists the value 0.

Thus, the null hypothesis will be rejected.

Conclusion:

There is a significant difference between the mean weight of 1-year old boys and 1-year old girls.

Answer:

-4/9*3/2

-4*3/9*2

-12/18

-2/3

Answer:

-2/3

Step-by-step explanation:

-4/9 divided by 2/3

you turn divided into multiplied and flip the second number

-4/9*3/2

you can cross multiply.

once you have simplified you should have

-2/3*1/1

simplified further to

-2/3*1

so,

-2/3 is the answer :)

Answer:

700

Step-by-step explanation:

Let the number be x.

Then,

\(70=\frac{x}{10} \\ \\ x=700\)

Answer:

I think they are correct

The inequality that models the problem is n + n + 1 ≥ 84. This means that the least possible pair of integers that would make the equation true is n = 41 and n + 1 = 42.

Answer:

1500

Step-by-step explanation:

1200/4=300

1200+300=1500

Answer:

This means the boys throw 300 snowballs while Buddy throws 1200 snowballs

Step-by-step explanation:

Equations

Let's call

x = number of snowballs the other boys throw.

4x = number of snowballs Buddy throws.

We know Buddy throws 1200 snowballs, thus

4x = 1200

Divide by 4:

x = 1200/4

x = 300

This means the boys throw 300 snowballs while Buddy throws 1200 snowballs

Answer: CHINA

Step-by-step explanation:

IAS CHINADU

Answer:

Bhutan is the answer.

Figures with more than 3 sides but with no pairs of parallel sides:

Figures with more than 3 sides and with one or more pairs of parallel sides, almost all even sided polygons:

Figures with one or more pairs of parallel sides:

Figures with less than 4 sides:

Figures with less than 4 sides and with at least two sides of equal length:

Figures with at least two sides of equal length:

Figures with at least one curved side:

Figures with at least one curved side and with at least one obtuse angle:

Figures with at least one obtuse angle (polygons with more than 4 sides will have obtuse angles)

Clara can reach a height of 2.57 meters when she jumps.

Given information:

The ceiling in Clara’s basement is 2.75 meters high.

When Clara jumps she is 18 centimeters short of being able to touch the ceiling.

We can start by converting the height of the ceiling and Clara's jump to the same units, either meters or centimeters. Let's convert Clara's jump to meters:

18 centimeters = 0.18 meters

Now we can subtract Clara's jump from the height of the ceiling to find how high she can reach:

2.75 meters - 0.18 meters = 2.57 meters

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Answer:

P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)

P(X, Y) = 0 if  X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)

Step-by-step explanation:

We know that the possible values of X (all with the same probability) are:

2 < X < 8.2

And for Y we have the range (also uniform):

3.01 < Y < 6.3

Then we have a rectangle of area.

(8.2 - 2)*(6.3 - 3.01) = 20.398

Such that the probability for all the points inside the rectangle should be exactly equal, then we will have:

P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)

Such that if we integrate this in the given region, the integral will be equal to 1, as we should expect.

And zero if the point is outside that region, this is:

P(X, Y) = 0 if  X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)

Answer:

i go with 55

Step-by-step explanation:

Answer:

25°{vertically opposite angle}

hope it helps.

Answer:

1 : 64

Step-by-step explanation:

Model:

1/2 in * 1/6 in = 1/12 in^2

Real:

1/3 ft * 1/9 ft = 1/3 * 12 in * 1/9 * 12 in = 16/3 in^2

model : real

1/12 / 16/3 = 1/12 * 3/16 = 3/192 = 1/64

model : real = 1 : 64

The value of u in the triangle DEF is 70.

What is ratio?

A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit. The proportions of oranges to the total amount of fruit are 8:14 for oranges and 6:8 for lemons, respectively.

Let the triangles ΔABC and ΔDEF are similar triangles.

So, the sides of triangle are in proportion.

Let, x be the value of u.

⇒

AC/FD = AB/DE

24/42 = 40/x

x = (40 x 42) / 24

x = 70

Hence, the value of u in the triangle DEF is 70.

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In the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.

Angles that add up to 180 degrees are referred to as supplementary angles.

For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.

Two angles are complementary if their sum equals 90 degrees, and supplementary if their sum equals 180 degrees.

Because the three angles of a triangle sum up to 180° and the right angle has already taken up 90°, the two non-right angles in a right-angled triangle are complementary.

We say two angles "Complement" one other when their sums equal 90 degrees.

So, we already are aware of that:

∠A and ∠C are supplementary

∠A is 74°

Then, ∠C would be:

∠A + ∠C = 180

74 + ∠C = 180

∠C = 180 - 74

∠C = 106

Therefore, in the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.

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Correct question:

Angles A and C are supplementary. Find the measure of angle C.

(Refer to the image below)

According to the problem Yes, 5/8 will make each equation true.

An equation is a mathematical statement that states that two expressions are equal. It typically consists of two expressions separated by an equal sign (=). Equations are used to describe the relationships between different variables, including the unknowns. Solving equations involves finding the unknowns, which can be done by using various algebraic techniques. Equations can be used to model real-world situations, such as calculating the speed of an object, or to solve problems in science, engineering, and mathematics.

For the first equation, 8/15 - 5/8 = 3/7.
For the second equation, 5/16 - 5/8 = -7/16 = 58.
For the third equation, 7/8 - 1/2 = 5/8.
For the fourth equation, 3/4 - 1/8 = 5/8.

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Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

Answer:

-4/1 = -4

Step-by-step explanation:

rise over run

4 going up 1 to the left so its negative

Answer:     b

Step-by-step explanation:

i took the quiz duhh

Answer:

3a)1680

b)2620

4a)2130

b)13300

c)460

d)7540

Step-by-step explanation:

3a)1500+180

b)2800-170

4a)1800+330

b)7300+6000

c)670-210

d)8000-460

Answer:

a) 1600

b) 2600

c) 2200

d) 13200

e) 500

Step-by-step explanation:

a) 1463 + 179

1400 + 200

1600

b) 2806 - 176

2800 - 200

2600

c) 1831 + 329

1900 + 300

2200

d) 7345 + 5893

7300 + 5900

13200

e) 665 - 213

700 - 200

500

Answer:

your answer are c and d hope it helps .

Answer:Yes

No

no

Yes

Step-by-step explanation: