Solve for x …………………………..

Answer: There are 16 houses

Step-by-step explanation: Why? Because of the fact that every house is 1/4 house and you can multiply that by every time 1/4x4 then 1/4x4 1/4x4 and 1/4x4 and you have 16 houses.

The value of x is 6 is proved by equating line segment PM and MR as M is the midpoint of line PR.

What is midpoint of line segment?

The midpoint divides the line segment into two equal parts. As the number line progresses, the leftmost numbers become smaller, and the rightmost numbers become larger. Adding, subtracting, and multiplying can also be done using a number line like for addition move towards right and for subtraction move towards left.

It is given that M is the midpoint of line segment PR which implies M will divide PQ into two equal parts that is PM (2x + 5) equals MR (4x - 7). now calculating x value first :

PM = MR

2x+5 = 4x -7

4x -2x = 5 + 7

2x = 12

x = 12/2

x = 6

Hence proved that the value of x is 6

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Answer:

a₄₃ = 181

Step-by-step explanation:

there is a common difference between consecutive terms, that is

17 - 13 = 21 - 17 = 4

this indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 13 and d = 4 , then

a₄₃ = 13 + (42 × 4) = 13 + 168 = 181

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Answer:

79,000

8,000 + 16,000 + 55,000

Answer:Ben and Sam would have made $64,000 for their partnership.

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

3/4 as a decimal is .75

.75>.73

Answer:

3/4 is larger

Step-by-step explanation:

3/4=0.75

0.75 is 0.02 larger than 0.73.

Hope this helps! :)

The area of the ΔABC is 98 cm²

In a triangle, we can use the sine formula to find the area of the triangle when we know one angle and the two side lengths opposite and adjacent to that angle.

Area of ΔABC = (1/2) bc sinA

Substitute b = 28 cm, c = 14 cm, and m∠A = 30° into the formula:

Area of ΔABC = (1/2) × 28cm × 14cm × sin 30°

Area of ΔABC = 98 cm²

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

I have no idea what you mean!!!! Make it more clear next time. ;)

Answer: B. substitution property of =

Explanation:

The given points, LM, LZ, and MZ, were substituted for their numbers.

Bonus:

Line 5- C. division property of =

Line 8- D. multiplication of real numbers

Line 2- D. segment addition postulate

I hope this helped!

Good luck <3

Answer: Answer is 15 hours

Step-by-step explanation:Given 6 men dig 5 holes in 25 hours

Therefore 10 men will take to dig 5 holes is

workers(1) × time(1) = workers(2)×time(2)

(This formula is used when Total work is same)

where workers(1)= 6 men

Time (1) = 25 hours

workers (2) = 10 men

We have find out Time(2)=T(2)

by applying above formula

6×25=10×T2

after simplify

T2= 15 hours

The numerical value of x in the similar pair of triangle is 10.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

From the diagram,

Side A of the small triangle = 10

Side B of the small triangle = x + 2

Side A of the Big triangle = 10 + x

Side B of the big triangle = x + 14

Hence;

Ratio of Side A to Side B of the small triangle = 10 / x + 2

Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14

Since the triangle area similar, equate the two ratio and solve for x.

10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )

Cross multiply

10( x + 14 ) = ( 10 + x )( x + 2 )

Expand using FOIL method

10x + 140 = 10x + 20 + x² + 2x

10x + 140 = x² + 12x + 20

x² + 12x + 20 = 10x + 140

x² + 12x + 20 - 10x - 140 = 0

x² + 2x - 120 = 0

Factor the left side of the equation

( x - 10 )( x + 12 ) = 0

Hence;

x - 10 = 0 and x + 12 = 0

x = 10 and x = -12

Since the dimension of the triangle cannot be negative,

x = 10

Therefore, the value of x is 10.

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Answer:

look it up on brainly

Step-by-step explanation:

The average power radiated by each square meter of the sun's surface is approximately 386 W/m². This value is calculated by dividing the total power radiated by the sun (approx. 386 billion Megawatts) by its surface area (approx. 6.08 x 10¹⁸ square meters). The formula for the surface area of a sphere is 4πr².

The average power radiated by each square meter of the sun's surface can be calculated as follows:

       The total power radiated by the sun is approximately 386 billion

       Megawatts (3.86 x 10³³ erg/s).

        The surface area of the sun can be calculated using the formula for

        the surface area of a sphere:

        A = 4πr², where r is the radius of the sun (approx. 6.96 x 10⁸

        meters).

        Plugging in the values, we get:

        A = 4π (6.96 x 10⁸)² = 6.08 x 10¹⁸ square meters.

        Finally, divide the total power by the surface area to get the

        average power radiated by each square meter of the sun's surface:

        P = 3.86 x 10³³ erg/s / 6.08 x 10¹⁸ m² = 386 W/m².

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We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.

Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).

Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.

So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.

Thus, we have a total of seven 4-tuples that satisfy the given relation.

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Difference means subtract.

Set up the equation:

K - 8.1 > 24

Solve for k by adding 8.1 to both sides:

K > 32.1

HERE IS THE ANSWER!!

Answer:

y = - x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (- 7, 9 )

m = \(\frac{9-4}{-7-(-2)}\) = \(\frac{5}{-7+2}\) = \(\frac{5}{-5}\) = - 1 , then

y = - x + c ← partial equation

to find c substitute either of the 2 points into the partial equation

using (- 2, 4 )

4 = 2 + c ⇒ c = 4 - 2 = 2

y = - x + 2 ← equation of line

Answer:

9627.46

Step-by-step explanation:

The Compuned Continuously Formula is

\(pe {}^{rt} \)

where p is the principal(initL amount)

r is the interest rate

t is the time in years

e is Euler number

\(2800e {}^{0.065(19)} = 9627.46\)

Given

To find

We know that,

Let the third angle be ,'x'

then,

Hence,the third angle would measure 30°

Answer:

(2z)^3 = 2^3*z^3

8*z^3

Answer:

\(8z {}^{3} \)

Step-by-step explanation:

\(in \: simplifying \: the \: above \\ \\ (2z) {}^{3} = 2 \times 2 \times 2 \times z {}^{3} \\ = 8z {}^{3} \)

Answer:

x + 2 < 13

Step-by-step explanation:

hopefully this helps :)

have a nice day !!

**please let me know if this wasn't what you were looking for**

Answer:

The distance should be \(3\sqrt{13\)

Step-by-step explanation:

Distance formula

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

The constants a and b can be found by ensuring the function is continuous and that the limits at each point match. This can be done by setting the values of a and b so that the function and its derivative are equal at each point.

To find the constants a and b for the given piece-wise cubic function, we must consider the definition of continuity and limits. Firstly, for the function to be continuous, the function and its derivative must be equal at each point. Thus, we need to set the values of a and b so that the function and its derivative are equal at the points x=1, x=2 and x=3. We can use this to create a system of equations to solve for a and b. Once we have determined the values of a and b, we can then check that the limits at each point match. This can be done by computing the left and right hand limits at each point, and ensuring they are equal. If the limits are equal, then the function is continuous and the constants a and b are correct.

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Answer:

8374

Step-by-step explanation:

I think this because the biggest numbers should be towards the left of the equation.

Answer:

8,374

Eight thousand three hundred seventy-four

Step-by-step explanation:

Going in descending order (save for the 3 in the hundreds place), the largest number possible is 8,374. The next closest is 8,347, but that is 26 less than 8,374.

Answer:

He is correct!

Step-by-step explanation:

one quarter of 9 is 2.25 cause if u divide 9 by 2, you get 4.50 which is one half, so if you divide 4.50 by 2 you get 2.25 which is one quarter of 9