The diameter of a circle is 28 yards. What is the circle's circumference? Use 3.14 for ​.

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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The numerical value of x in angle ABD is 9 as angle ABC is divided into two equal halves.

An angle bisector divided an angle into two equal halves.

From the diagram:

Line BD divides angle ABC into two equal halves.

Angle ABD = ( 3x - 7 ) degrees

Angle DBC = 20 degrees

Since angle ABD and DBC are equal haves;

Angle ABD = Angle DBC

Plug in the values:

( 3x - 7 ) = 20

Solve for x:

3x - 7 = 20

Add 7 to both sides:

3x - 7 + 7 = 20 + 7

3x = 27

x = 27/3

x = 9

Therefore, the value of x is 9.

Option A)9 is the correct answer.

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Answer:

See below

Step-by-step explanation:

If you are given slope (m) and intercept (b) , then write the line equation like this:

y = mx + b

The true statement about the points and planes is B. The line that can be drawn through points D and E is contained in plane Y.

Points D and E are on Plane Y.  Only one straight line is possible between Points D and E, which passes through and is contained in Plane Y.

Point C is not on Plane Y or X.  A line cannot be drawn between C and D, and pass through Planes X and Y.

Point F is not the only point that can lie on the X plane, the same goes for points D and E are not the only points that can lie on the Y plane.

Indeed, Point D lies on Plane Y and Point E lies on Plane Y.

Thus, the true statement about the points and planes is B. The line that can be drawn through points D and E is contained in plane Y.

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Answer:

22

Step-by-step explanation:

You add the to numbers together and the answer will be 22

I hope it helps! Have a great day!

Muffin ^^

Answer:

B is answers for the question

Step-by-step explanation:

please give me brainlest

Step-by-step explanation:

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Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

The required value of h, representing the height of the three-dimensional rectangle, is 12.

The diagonal of a three-dimensional rectangle is defined by the equation d² = x² + y² + h². To solve for h, we can rearrange the equation as follows:

h² = d² - x² - y²

Given the values d = 13, x = 3, and y = 4, we can substitute them into the equation:

h² = 13² - 3² - 4²

h² = 169 - 9 - 16

h² = 144

Taking the square root of both sides, we find:

h = 12

Therefore, the value of h, representing the height of the three-dimensional rectangle, is 12.

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An answer choice that matches the graph of the given piecewise-defined function include the following: D. graph D.

In Mathematics, a piecewise-defined function refers to a type of function that is defined by two or more mathematical expressions over a particular domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains.

When the domain is -2 < x ≤ -1, the rule for the piecewise-defined function f(x) is given by:

f(x) = -3

When the domain is -1 ≤ x ≤ 0, the rule for the piecewise-defined function f(x) is given by:

f(x) = -2

When the domain is 0 ≤ x ≤ 1, the rule for the piecewise-defined function f(x) is given by:

f(x) = -1

In conclusion, we can reasonably infer and logically deduce that all of the y-values of this piecewise-defined function are located on the negative y-coordinate based on the domain.

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Answer

30

Step-by-step explanation

The entire expression is a sum with 0 factors

The coefficients are 1/2, 1 and 7

From the question, we have the following parameters that can be used in our computation:

1/2x² + x + 7

The above expression is a quadratic expression and it has three terms

Quadratic expressions with real roots have 2 factors, otherwise it would have 0 factor

The expression 1/2x² + x + 7 does not have a real root because

b² < 2ac

Also in the expression, the coefficients are 1/2, 1 and 7

i.e. a = 1/2, b = 1 and c = 7

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Complete question

consider the expresson 1/2x² + x + 7.

complete 2 descriptions of the part of the expression

The entire expression is a sum with __ factors

The coefficients are _

The number of different ways the coach can pick up the line of the game is 792 ways

Step-by-step explanation:

Let n- number of players, r-selection of players.

We can select them using Combination: nCr = 12C5

Combination formula nCr =\(\frac{n!r!}{ (n-r)!}\)  = 12C5 = \(\frac{12!5!}{(12-5)! }\)

=\(\frac{12!5!}{ 7!}\)

= 792ways

The number of different ways the coach can pick up the line of the game is 792 ways.

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Answer:

The green line is LM

The red line is JM

The blue point is at the coordinates (2/3, -14/3)

Step-by-step explanation:

Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Answer:

Values of \(a=-14.14,2.47\)

Step-by-step explanation:

Let us find the determinant

\(a(-a-40)-2(a^2-48)+1(5a+6)=0\\\\-a^2-40a-2a^2+96+5a+6=0\\\\-3a^2-35a+105=0\\\\a=\frac{35\pm \sqrt{35^2-4\times -3\times 105}}{2\times -3}\\\\a=\frac{35\pm 49.84}{-6}\\\\a=\frac{35+ 49.84}{-6}=-14.14\\\\or\\\\a=\frac{35- 49.84}{-6}=2.47\)

The remaining amount of salt that Tom needed to pour was 67.59 grams.

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

As per the given,

The total amount that Tom needs to pour = 84.99 grams

Amount poured = 17.4 grams

Remaining = 84.99 grams - 17.4 grams = 7.59 grams

Hence "The remaining amount of salt that Tom needed to pour was 67.59 grams".

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Answer:

Question: Q#01: [4] A police department believes that the number of serious crime which occur each month can be estimated by the equation C = 1200 - 12.5p Where c equals the number of serious crimes expected per month and p equal the number of officers assigned to preventive patrol.

Step-by-step explanation:

Answer:

6/53

Step-by-step explanation:

Answer:

1. <A° = 50°

2. CB = 10.7

3. AB = 14

Step-by-step explanation:

1. Determination of angle A.

A° + B° = C°

B° = 40°

C° = 90°

A° + 40° = 90°

Collect like terms

A° = 90° – 40°

<A° = 50°

2. Determination of CB

Angle B = 40

Opposite = AC = 9

Adjacent = CB =?

Length CB can be obtained by using Tan ratio as illustrated below:

Tan B = Opposite / Adjacent

Tan 40 = 9 / CB

0.8391 = 9 / CB

Cross multiply

0.8391 × CB = 9

Divide both side by 0.8391

CB = 9 / 0.8391

CB = 10.7

3. Determination of AB

Angle B = 40

Opposite = AC = 9

Hypothenus = AB =?

The length AB can be obtained by using Sine ratio as illustrated below:

Sine B = Opposite / Hypothenus

Sine 40 = 9 / AB

0.6428 = 9 / AB

Cross multiply

0.6428 × AB = 9

Divide both side by 0.6428

AB = 9 / 0.6428

AB = 14

Hope this helps!! :]

Answer:.

Step-by-step explanation:

Answer:

First, we need to calculate the total amount of the pension for the first offer:

$58,000 x 0.016 x 20 = $18,560 per year

Then, we can calculate the monthly pension payment:

$18,560 / 12 = $1,546.67 per month

For the second offer, we need to calculate the annual pension amount:

$64,900 x 0.013 x 20 = $16,828 per year

And then the monthly pension payment:

$16,828 / 12 = $1,402.33 per month

Finally, we can calculate the difference in monthly pension payments:

$1,546.67 - $1,402.33 = $144.34

Therefore, the difference in monthly pension payments is $144.34.

The value of the expression is -4 5/12.

Given is an expression -7 2/3 + (-5 1/2) + 8 3/4, we need to simplify it,

So,

= -7 2/3 + (-5 1/2) + 8 3/4

= -23/3 - 11/2 + 35/4

Taking the LCM 12,

= (-92-66+105) / 12

= (-158+105) / 12

= -53/12

= -4 5/12

Hence the value of the expression is -4 5/12.

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The approximate x-values for the local maximum and the local minimum are given as follows:

D) max ≈ -0.3 , min ≈ 2.3.

Hence the critical points of the graphed function are given as follows:

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Answer:

The Answer is D

Step-by-step explanation:

The equation that represents the function is \(h(x) = x^{2} +2\).

Let us say the function is of form \(h(x) = x^{n} +c\)......(1)

A function is a rule that establishes a relation between two variables.

Points on this graph are  (0, 2), (1, 3), (2, 6), and (3, 11).

So, these points will satisfy the graph,

This means, In (1) we can put the given coordinates.

Let us put (0,2)

i.e. \(2 = x^0 + c\)

c =2

So (1) becomes \(h(x) = x^{n} +2\).....(2)

To get n let us put (2,6) in (2)

\(6 = 2^{n} +2\\2^n = 4\\2^n = 2^2\\n = 2\)

So, (2) becomes \(h(x) = x^{2} +2\)

Therefore, the equation that represents the function is \(h(x) = x^{2} +2\).

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Answer:

1/8

Step-by-step explanation:

Given:

z = xy

z = 0

y = x

x =1

To find:

volume of the solid bounded by the graphs of the equations

Solution:

Compute integral of volume in the first octant:

\(Volume = V = \int\limits^1_0\int\limits^x_0 {z} \, dydx\)

\(\int\limits^1_0\int\limits^x_0 {z} \, dydx = \int\limits^1_0\int\limits^x_0 {xy} \, dydx\)

\(= \int\limits^1_0x\int\limits^x_0 {y} \, dydx\)

= \(\int\limits^1_0\) x y²/2 |ˣ₀  dx

= 1/2  \(\int\limits^1_0\) x y² |ˣ₀  dx

= 1/2  \(\int\limits^1_0\) x (x²-0²) dx

= 1/2  \(\int\limits^1_0\) x³dx

=  \(\frac{1}{2} \frac{x^{3+1} }{3+1}\) |¹₀

= (1/2) (x⁴/4) |¹₀

= 1/8 x⁴ |¹₀

= 1/8 (1⁴ - 0⁴)

= 1/8 (1)

V = 1/8

Answer:

- 1

-------

-14

Step-by-step explanation:

y,, - y, (-7) - ( -6 ) - 1

--------- = ---------------- = -------

x,, - x, (-9) - ( 5 ) -14

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation: