HELP ASAP What is the distance between the following points

Answer:

2

Step-by-step explanation:

( \(\frac{1}{2}\) × 4 ) × 5 - 2³ = 10 - 8 = 2

The quotient log 29 can be rewritten as 1 + log 2.9.

The quotient of two numbers is the result of dividing one number by another. In mathematics, the logarithm is the inverse operation to exponentiation, just as division is the inverse of multiplication.

A logarithm is the exponent that a fixed base must be raised to produce a given number. The notation logx (read "log base x") denotes the logarithm of a number with respect to a base x.

Hence, when we say the quotient log 29, it implies that we need to determine the logarithm of 29, which we can represent as log 29, as there is no base specified. In general, we assume the base to be 10.

Now, we have:

`log 29`

To rewrite this quotient, we can consider the following steps:

Step 1: Break the number down into factors

29 is a prime number; it is not divisible by any other number except for 1 and itself. Therefore, we cannot break it down into factors.

Step 2: Find the prime factorization of the divisor

Since the divisor is not provided, we cannot perform this step.

Step 3: Apply the quotient rule of logarithms

The quotient rule of logarithms states that:

log (a / b) = log a - log b

We can use this rule to rewrite `log 29` as follows:

`log 29 = log (10 * 2.9)`

`log 29 = log 10 + log 2.9`

`log 29 = 1 + log 2.9`

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Answer:

c.

Step-by-step explanation:

By another pair of sides along with pair of angles we can prove that two triangles are congruent by ASA congruence postulate.

What is ASA Congruence Postulate?

A set of triangles can be proven to be congruent using the angle-side-angle rule.

According to the ASA rule, two triangles are congruent if their two included sides and two angles are the same as those of another triangle.

Using the ASA Congruence Postulate and by considering the following image,

∠ B = ∠ Q, ∠ C = ∠ R and sides between ∠B and ∠C , ∠Q and ∠ R are equal to each other.

i.e. BC= QR.

Hence, Δ ABC ≅ Δ PQR.

Therefore, By another pair of sides along with pair of angles we can prove that two triangles are congruent by ASA congruence postulate.

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Answer:

\(x=-\frac{4}{9}\)

Step-by-step explanation:

2x + 1 - 4x = 7x +5

First, take 7x to the left side.

2x + 1 - 4x - 7x = 5

Now take 1 to the right side.

2x - 4x - 7x = 5 - 1

Now combine like terms.

-2x - 7x = 4

-9x = 4

Now divide both sides by -9.

x = - 4/9

Answer:

2x+1-4x=7x+5

-->2x-4x-7x=5-1

-->-2x-12x=4

-->-9x=4

-->x=-4/9

-->x=-4/9

Answer:

-1.25

Step-by-step explanation:

Slope = -15 / 12 = -5 / 4 = -1.25

Answer: 2 1/6

Step-by-step explanation: 13/6 = 2 with remainder of 1

2 is whole number and the remainder remains as part of the fraction

Answer:

3 miles per hour

Step-by-step explanation:

Answer:

3 miles per hour

Step-by-step explanation:

3 miles per hour bc i just know that it is

The required graph has been attached below that represents the function f(x) = 5 cos (2x).

The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.

Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.

The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).

Thus, the graph has been attached below that represents the given function.

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9514 1404 393

Answer:

  7/8

Step-by-step explanation:

7/8 differs from 1 = 8/8 by 1/8.

8/7 differs from 1 = 7/7 by 1/7.

1/8 is smaller than 1/7, so 7/8 is closer to 1.

Answer:

36 inches

Step-by-step explanation:

You find perimeter by adding all the sides together. It seems to be a square book as the length and width are the same. So 9+9+9+9 or 9x4=36 inches.

Answer:

y = 1/2x - 3

Step-by-step explanation:

Points on the graph: (0, -3) and (6, 0)

Slope:

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

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

m=3/6

m= 1/2

Slope-intercept:

y - y1 = m(x - x1)

y + 3 = 1/2(x - 0)

y + 3 = 1/2x

y = 1/2x - 3

The simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

Let us solve the given algebraic expression by the long division method:

We are given the expression:

(2x^3 + 3x + 7) / (x^2 + x + 10)

We need to perform the division of the given algebraic expression:

x^2 + x + 10  ) 2x^3 + 3x + 7 ( 2x - 2

                       2x^3 + 2x^2 + 20x

                     -         -            -        

                         -2x^2 - 17x + 7

                         -2x^2 - 2x  - 20

                         +        +       +          

                                  -15x + 27

So,

quotient = 2x - 2

remainder =  -15x + 27

Thus, the simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

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Answer:

the answer is option A population standard deviation

Answer:

corporate team-building event cost will cost $98

Step-by-step explanation:

A corporate team-building event costs $32, plus an additional $1 per attendee.

Let cost be C

The expression for the above statement

C($)= 32+n(1)

Where n is the number of attendees

So a situation where there are 66 attendees, the total cost will be

C($) = 32 +66(1)

C($) = 32+66

C($)= 98

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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The length of LN for the triangle is 18.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle JKL,

and MN is parallel to JK,

taking ΔJKL and ΔLMN

∠L = ∠L  (common angle)

because MN is parallel to JK, so corresponding angles are equal,

so ∠K = ∠N

and ∠J = ∠M

ΔJKL ≈ ΔLMN(triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

JL/LM = JK/MN = LK/LN

and JK = 55 and LK = 33

and MN = 12 + LN

JK/MN = LK/LN

substitute the values

55/(12 + LN) = 33/LN

55LN = 33(12 + LN)

55LN - 33LN = 396

22LN = 396

LN = 396/22

LN = 18

Hence the length of LN is 18.

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Answer:

x = 5.5

Step-by-step explanation:

2x + 3 - 4 = 10

2x - 1 = 10

2x = 11

x = 5.5

Let's check

2(5.5) + 3 - 4 = 10

11 + 3 - 4  = 10

14 - 4 = 10

10 = 10

So, x = 5.5 is the correct answer.

Answer: x = 5.5

Step-by-step explanation:

To solve, we will isolate the variable x.

      Given:

             2x + 3 - 4 = 10

      Combine like terms on the left side:

             2x - 1 = 10

      Add 1 to both sides of the equation:

             2x = 11

      Divide both sides of the equation by 2:

             x = 5.5

Answer:

0.21

Step-by-step explanation:

You subtract 7 from 7.21

ANSWER

-2/5

EXPLANATION

We want to find the slope of the line passing through the points:

(19, -2), (-11, 10)

To do that, we use the formula for slope:

where (x1, y1) and (x2, y2) are two points that lie on the line.

Therefore, we have that the slope is:

That is the slope of the line.

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

Answer: -2

Step-by-step explanation:

Answer:

what is your question thought

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Step-by-step explanation:

2×length + 2×width = 198 ft

length = width + 9

we use the second equation in the the first :

2×(width + 9) + 2×width = 198

2×width + 18 + 2×width = 198

4×width + 18 = 198

4×width = 180

width = 180/4 = 45 ft

length = width + 9 = 45 + 9 = 54 ft

Answer:

Step-by-step explanation:

Area of a trapezium is the average of the parallel sides times the distance between them.

If we subtract 15 units from each of the parallel sides, we end up with a triangle that has two sides of 8 units and one of 10 units. One of the 8 unit sides is the base and we need to find the height h which is perpendicular to this base.

Let the base be split into two segments, call one A, the other will be 8 - A

From Pythagoras.

10² - A² = h² = 8² - (8 - A)²

10² - A² = 8² - (8 - A)²

100 - A² = 64 - (64 - 16A + A²)

100 - A² = 64 - 64 + 16A - A²

     100  =  16A

         A = 6.25

h = √(10² - 6.25²)

h = √60.9375  

A = ½(15 + 23)√60.9375  

A = 148.31870246... ≈ 148.3 cm²

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

Answer:

m^4 + 2m³

Step-by-step explanation:

- Simply multiply m³ with the values inside the brackets.

m^4 + 2m³