When you multiply any odd number by 2, the result is an odd number Is the following statement always true, sometimes true, or never true?

"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.

Since x represents the smaller of the two numbers,

Thus the larger number will be 26 - x

The expression asked above will be:

=> 5 + larger number - 2 * smaller number

=> 5 + 26 - x - 2 * x

=> 31 -3x

therefore,  "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

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In the math club, there are 9 people.

Tables according to frequency distribution are created from the acquired data. Test scores, local weather data, volleyball match outcomes, student grades, etc. might all be included in the material. After data collection, information must be presented in a meaningful way to be understood. Showed a drastic that has been graphically represented using a relative frequency chart is a different mechanism.

Dot plots are used to create the frequency distribution below:

Age 9 = 2

Age 10 = 0

Age 11 = 1

Age 12 = 2

Age 13 = 4

So, there are nine members in the math club overall.

The math club has nine members as a result.

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Answer:

91.6667%

Step-by-step explanation:

1/3 of 1/4 = 1/12

11/12 = 91.6667%

Have a great day <3

Answer:

50% of the donuts are plain

Step-by-step explanation:

out of 12 donuts, 1/4 have sprinkles. This results in 3 donuts having sprinkles. 3 out of 12 is 9. 1/3 of 9 is 3. 3 donuts have cherry filling. The rest, which is 6 are plain. 6 is 50% of 12.

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

785.4

I think it is right

Answer:

Solution: Here, Radius of cylindrical tank (r)=2ml Height of cylindrical tank (h)=8ml volume of that cylindrical tank (v)=?

Now,

we know that,

Volume of cylindrical(v)=V=πr2h=3.14×2×2×8=100.48ans.

The slope of the line is -2, which means when you're tracking the line, it goes down by 2 for every time that it moves across to the right by 1.

Y-intercept of the line is -3, so when you start on the origin, (0, 0) you go down by 3.

The solution is, the value of the variables are x = 40 and, y = 160.

Notice that "x" and "3x+20" are supplementary angles so their sum is 180°

(x) + (3x + 20) = 180

4x + 20 = 180

4x = 160

x = 40

To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.

(x) + (y - 20) = 180°

40 + y - 20 = 180

y + 20 = 180

y = 160

Answer: x=40, y=160

The solution is, the value of the variables are x = 40 and, y = 160.

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complete question:

Find the value of each variable

The solution of the simultaneous equation is given by x = (15 + z - 4y )/2

A system of linear algebra (or linear system) is a collection of one or more numerical solutions using the same variables. is a set of three equations with the variables x, y, and z.

The answer to a linear system is to give each variable a value that simultaneously satisfies all of its equations. The solution to the above system is given by the ordered triple that comes after.

Even though the coefficients of equations are typically real or complex figures and the solutions are sought in the same set of numbers, the theory and methods are applicable to coefficients and solutions in any field.

the given equation is 2x + 4y − z = 15

we add z to both sides

2x+4y = 15 +z

we subtract 4y from both sides

2x = 15 +z - 4y

now we divide throughout by 2

x = (15 + z - 4y )/2.

hence the value of x is (15 + z - 4y )/2

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Answer:

b bro and u get a good day too

Answer:

Pretty sure its C  >:]

Explanation:

    It's the third option because if you put a piece of paper in the corner its a lil more than 90 degrees, so it wouldn't be B (there's a little more white space left). And it obviously wouldn't be A because that's self explanatory, lol.

    And you can't make a perfect square in the inside of the angle so that's another way to tell.

Extra:

I hope you have an amazing day too,, you seem very nice ^-^   good luck on your schoolwork today :]

Answer:

(a) y intercept is approximately 4.3

(b) \(y = 1.5x+4.5\)

Step-by-step explanation:

Given

See attachment for graph

Solving (a) The y intercept

This is the point where \(x =0\)

From the attached graph; By observation

\(y \approx 4.3\) when \(x =0\)

So, the y intercept is approximately 4.3

Solving (b): The equation of best fit.

First, calculate the slope of the line using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Where

\((x_1,y_1) = (9,18)\)

\((x_2,y_2) = (8,16.5)\)

So:

\(m = \frac{16.5- 18}{8 - 9}\)

\(m = \frac{-1.5}{- 1}\)

\(m = 1.5\)

The equation is then calculated using:

\(y =m(x - x_1) + y_1\)

Where: \(m = 1.5\) and \((x_1,y_1) = (9,18)\)

\(y = 1.5(x - 9) + 18\)

\(y = 1.5x - 9*1.5 + 18\)

\(y = 1.5x - 13.5 + 18\)

\(y = 1.5x+4.5\)

The missing side lengths for triangle ABC are 4, 4√3, and 8.

Based on the given information, it seems that the triangle is a right-angled triangle with angles of 30°, 60°, and 90°. Let's find the missing side lengths for triangle ABC using the given lengths and angles.
Identify the triangle type.
Since we have angles of 30°, 60°, and 90°, we are working with a 30-60-90 right-angled triangle.
Determine the ratio of side lengths.
In a 30-60-90 triangle, the ratio of the sides is 1:√3:2.
Find the corresponding side lengths.
Using the given lengths and the 1:√3:2 ratio, we can determine the side lengths for triangle ABC:
- If the shortest side (opposite the 30° angle) is 4, then the other sides would be 4√3 (opposite the 60° angle) and 8 (hypotenuse, opposite the 90° angle).

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Answer:

(I can't answer if its greater than, less than, or equal to because you didn't

specify the number I have to compare to)

2. \(\frac{35}{8}\)

3. greater than

4. \(\frac{1}{9}\)

5. \(\frac{1}{6}\)

6. \(\frac{4}{5}\)

Step-by-step explanation:

The surface area of the cylindrical pottery vase is 177.55 in².

Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,

SA of a cylinder = 2π×radius(h+r)

= 2×3.14×2.15(2.15+11)

= 177.55 in²

Hence, the surface area of the cylindrical pottery vase is 177.55 in².

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Answer:

Distributive property

Step-by-step explanation:

The inequality is c-7≥-30. The c value we get has inequality c≥-23.

Given that,

The inequality is c-7≥-30.

We have to solve the inequality c.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. When two values are not equal, we typically use the "not equal symbol (≠)". However, a number of inequalities are used to compare the numbers and determine whether one is greater than the other.

When the symbols  “>”, “<”, “≥”, “≤” are used to connect two real numbers or algebraic expressions, the relationship is referred to as an inequality.

Take the inequality,

c-7≥-30

c≥-30+7

c≥-23

Therefore, The c value we get has c≥-23.

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a) the minimum number of hikers who could have walked between 6 miles and 17 miles is 9 as it lies in the common interval of 10 ≤ x ≤ 15.

b)  the maximum number of hikers who could have walked between 6 miles and 17 miles is 19.

When the derivative equals 0, rearrange the function using elementary algebraic principles to find the value for x. The x-coordinate of the function's vertex, which is where the maximum or lowest will occur, is provided in this answer. the solution back into the original function to determine the minimum or maximum.

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Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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4. Train arrived late once on 7th day according to the simulation.

5. The probability that the train will arrive late on 3 or more of 20 days is 0.30.

6. There is no convincing evidence that New Jersey Transit's claim is false.

What is a simulation?

Simulation is the imitation of chance behavior, based on a model that accurately reflects the situation.

The dot at 7 represents that on the 7th day the train arrived late once.

Assuming the probability that each train is late is 0. 1, the estimate of the probability that that train is late on 3 or more of 20 days is -

30/100 = 0.30.

Since, the actual result is that train is late 17 times on 3 days so the result will be 0.17. But since these are just simulations and real-life incidents there is no proper evidence.

Therefore, the train company's claim is not entirely false.

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Answer:

the answer should be 93.9% let know if in wrong

Roberto's science grade as per weighted average is equals to 93.9%.

" Average is defined as the ratio of total of all the given data to the total number of quantities in the data."

Formula used

Weighted average'W' = ( ∑\(w_{i} x_{i}\) ) / ( ∑\(w_{i}\) ) , where i = 1, 2,.... n

W= weighted average

n = number of terms to be averaged

w = weight applied to x values

x = data values to be averaged

According to the question,

Given,

Weight applied to quiz 'w₁' = 25%

Weight applied to homework 'w₂' = 10%

Weight applied to to unit tests 'w₃'= 30%

Weight applied to labs 'w₄' = 35%

Average on quiz Roberto earned 'x₁'= 94%

Average on homework Roberto earned 'x₂'= 94%

Average on unit test Roberto earned 'x₃'= 94%

Average on labs Roberto earned 'x₄' = 94%

Substitute the values in the formula we get,

Weighted average

= [ (25 × 94) +(10× 99) + (30 × 92) +(35 ×94)] / ( 25+10+30+35)

= (2350 +990 + 2760 + 3290) / 100

= 9390 / 100

=93.9%

Hence, Roberto's science grade as per weighted average is equals to 93.9%.

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Answer:

2.2

Step-by-step explanation:

(1.85 x 2) - 1.50

...............

Answer:

h=3/10

Step-by-step explanation:

The way to get the area of triangle is 1/2 * product of two legs or 1/2*base*height.

We get the two legs, so we can get the area of the triangle is 1/2*1*3/4=3/8

And plug in the equation of the area of the triangle with area and base of it:

Solve the equation:

3/8=1/2*5/4*h

3/8=5/8*h

h= \(\frac{\frac{3}{8} }{\frac{5}{8} }\)

And take off 8 from each side

the height is \(\frac{3}{5}\)

9514 1404 393

Answer:

  A) 1

Step-by-step explanation:

Let the distance from A to BC be represented by y, and the distance DE be represented by x. We can write some relations using the definition of the tangent of an angle, and the double-angle formula for tangent. The double-angles are complementary

Left angles

Call the smaller angle α. Then the larger angle is 2α.

  tan(α) = x/2

  tan(2α) = 2tan(α)/(1 -tan(α)²) = 2(x/2)/(1 -(x/2)²) = 4x/(4 -x²)

Right angles

  tan(β) = x/3

  tan(2β) = 2tan(β)/(1 -tan(β)²) = 2(x/3)/(1 -(x/3)²) = 6x/(9 -x²)

__

Angles 2α and 2β are complementary, so the product of their tangents is 1.

  (4x/(4 -x²))(6x/(9 -x²)) = 1

  24x² = (4 -x²)(9 -x²) . . . . multiply by the product of denominators

  x⁴ -37x² +36 = 0 . . . . . put in standard form

  (x² -36)(x² -1) = 0 . . . . . factor

Solutions to this equation are x = ±1 and x = ±6. Only positive values less than 1.25 can possibly satisfy the geometry. Hence x = DE = 1.

The length of DE is 1.

Answer:

centre = (5, - 6 ) , radius = 7

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 10x + 12y + 12 = 0 ( subtract 12 from both sides )

x² + y² - 10x + 12y = - 12 ( collect terms in x/ y )

x² - 10x + y² + 12y = - 12

using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 5)x + 25 + y² + 2(6)y + 36 = - 12 + 25 + 36

(x - 5)² + (y + 6)² = 49 = 7² ← in standard form

with centre (5, - 6 ) and radius = 7

Answer:

Center = (5, -6)

Radius = 7

Step-by-step explanation:

To find the center and the radius of the circle represented by the given equation, rewrite the equation in standard form by completing the square.

To complete the square, begin by moving the constant to the right side of the equation and collecting like terms on the left side of the equation:

\(x^2-10x+y^2+12y=-12\)

Add the square of half the coefficient of the term in x and the term in y to both sides of the equation:

\(x^2-10x+\left(\dfrac{-10}{2}\right)^2+y^2+12y+\left(\dfrac{12}{2}\right)^2=-12+\left(\dfrac{-10}{2}\right)^2+\left(\dfrac{12}{2}\right)^2\)

Simplify:

\(x^2-10x+(-5)^2+y^2+12y+(6)^2=-12+(-5)^2+(6)^2\)

       \(x^2-10x+25+y^2+12y+36=-12+25+36\)

       \(x^2-10x+25+y^2+12y+36=49\)

Factor the perfect square trinomials on the left side:

\((x-5)^2+(y+6)^2=49\)

The standard equation of a circle is:

\(\boxed{(x-h)^2+(y-k)^2=r^2}\)

where:

Comparing this with the rewritten given equation, we get

Therefore, the center of the circle is (5, -6) and its radius is r = 7.

If  there are 40 school days in a 2-month period. The number of times can a boy be expected to take attendance is: B. 20.

Given data:

Number of school days = 40

Number of month = 2

Now let find the number of attendance times

Number of attendance times =  Number of school days/ Number of month

Number of attendance times = 40/2

Number of attendance times = 20

Therefore the correct option is B.

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Letters are

No repetitions

Distinct permutation:-

Step-by-step explanation:

C

Answer:

The answer is C

Step-by-step explanation:

I took the test and got it right :)

hopefully this helps you :)

pls mark brainlest ;)