What’s that answer please!!!!!!!!

9514 1404 393

Answer:

  9, the sum of the numbers given in the ratio

Step-by-step explanation:

The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.

It is convenient to think of the line segment as being divided into 9 equal parts.

_____

Additional comments

It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.

It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.

Answer: x = 2

Step-by-step explanation:

Answer:

x = ± 2

Step-by-step explanation:

Given

(x² + 4)² - 11(x² + 4) + 24 = 0

Use the substitution

u = x² + 4, then

u² - 11u + 24 = 0 ← in standard form

(u - 3)(u - 8) = 0

Equate each factor to zero and solve for u

u - 3 = 0 ⇒ u = 3

u - 8 = 0 ⇒ u = 8

Change u back into terms of x

x² + 4 = 8 ( subtract 4 from both sides )

x² = 4 ( take the square root of both sides )

x = ± \(\sqrt{4}\) = ± 2

One value of x tat is a solution is x = 2

Answer:

C

Step-by-step explanation:

just did it yesterday hope it helps

The slope of this line in terms of a and b is b/a

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

Intercepts = b and a

The slope of this line in terms of a and b is calculated as

Slope = y/x

Substitute the known values in the above equation, so, we have the following representation

Slope = b/a

HEnce, the slope is b/a

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Answer: that’s 5

Step-by-step explanation:

This statement is false. In a weighted, connected graph with edge weights not necessarily distinct, if one Minimum Spanning Tree (MST) has k edges of a certain weight w, it is not guaranteed that any other MST must also have exactly k edges of weight w.

1. In a weighted graph, each edge has a weight (or cost) associated with it.
2. A connected graph means there is a path between any pair of vertices.
3. An MST is a subgraph that connects all the vertices in the graph, without any cycles, and with the minimum possible total edge weight.

However, there can be multiple MSTs for a given graph, and their edge weights distribution might not be the same. This is because MSTs are primarily focused on minimizing the total weight, not necessarily preserving the number of edges with a specific weight. Different MSTs may use different sets of edges to achieve the minimum total weight, so they might not have the exact same count of edges with weight w.

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Answer:

....... HOPE IT HELPS

:\(\implies\) perimeter (∆HFM) = HM+FM+HF

:\(\implies\) 51 = 2x+5+x+8+3x+2

:\(\implies\) 51 = 6x+15

:\(\implies\) 36 = 6x

:\(\implies\) x = 6 units.

in ∆HFM,

in ∆KFM,

Since, all the sides of one triangle does not correspond to the other, these traingles are not congruent.

Answer:

  A = C²/(4π)

Step-by-step explanation:

You want a formula for the area of a circle, given its circumference.

Relevant relations for a circle are ...

  A = πr² . . . . . . . . A = area, r = radius

  C = 2πr . . . . . . . . C = circumference

Solving the circumference equation for r, we find ...

  r = C/(2π)

Substituting that into the area equation, we have ...

  A = π(C/(2π))²

  A = C²/(4π)

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The function that models the area A of a circle in terms of its circumference C is A = C²/(4π).

The formula for the circumference of a circle is C = 2πr or C = πd, where r is the radius and d is the diameter. To find a function that models the area A of a circle in terms of its circumference C, we can rearrange the formula for the circumference to solve for the radius: r = C/(2π). Substituting this value of r into the formula for the area, we get A = π(C/(2π))² = C²/(4π).

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Based on the given informations, the angle between the ladder and the ground is decreasing at a rate of 0.009 radians/second when the ladder is 5.8 feet away from the house.

Let's call the distance between the base of the ladder and the house "x". The length of the ladder is 24 feet, so the height it reaches up the house is given by the Pythagorean theorem:

h² = 24² - x²

Differentiating both sides with respect to time:

2h dh/dt = -2x dx/dt

We want to find dh/dt when x = 5.8 feet and dx/dt = 0.25 feet/second. First, we need to solve for h:

h² = 24² - 5.8² = 557.84

h = 23.63 feet

Substituting x = 5.8 feet, h = 23.63 feet, and dx/dt = 0.25 feet/second:

2(23.63) dh/dt = -2(5.8)(0.25)

dh/dt = -0.06 feet/second

So the tip of the ladder is slipping down the side of the house at a rate of 0.06 feet/second.

To find the rate of change of the angle, we can use the formula:

tan(Θ) = h/x

Differentiating both sides with respect to time:

sec²(Θ) d(Θ)/dt = (1/x) dh/dt - (h/x²) dx/dt

We already know x = 5.8 feet, h = 23.63 feet, and dx/dt = 0.25 feet/second. We just calculated dh/dt to be -0.06 feet/second. To find sec(theta), we can use the fact that cos(Θ) = x/h:

cos(Θ) = x/h = 5.8/23.63 = 0.245

sec(Θ) = 1/cos(theta) = 4.0816

Substituting these values into the formula above:

(4.0816)² d(Θ)/dt = (1/5.8)(-0.06) - (23.63/5.8²)(0.25)

d(Θ)/dt = -0.009 radians/second (rounded to 3 decimal places)

Therefore, the angle between the ladder and the ground is decreasing at a rate of 0.009 radians/second when the ladder is 5.8 feet away from the house.

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I already answered on your previous post, but here's the answer again. By the way, it's still flipped the wrong way

Mark and Lisa both started with 5/4 litres (l),

Mark drank 1/3 l => 5/4 - 1/3 = 11/12 left

Lisa spilled and had 2/5 l left => 5/4 - 2/5 = 17/20 spilled

The implied population in the information provided is (e) the nitrogen concentration (mg nitrogen/1 liter of water) in the entire lake.

The information states that government agencies are monitoring water quality and its effect on wetlands, specifically focusing on the concentration of nitrogen in water draining from fertilized lands. To study this, twenty-eight samples of water were taken at random from a lake, and the nitrogen concentration was determined for each sample.

The purpose of taking these samples and analyzing the nitrogen concentration is to make inferences about the overall nitrogen concentration in the entire lake. The goal is to assess the impact of nitrogen on fish and wildlife in the lake. Therefore, the implied population in this case is the nitrogen concentration in the entire lake, which is the target of the monitoring efforts.

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The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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Answer:

When the increase in demand is greater than the decrease in supply, the equilibrium price rises and the equilibrium quantity increases.

What is economic equilibrium?

Economic equilibrium, as used in economics, is a state in which forces such as supply and demand are in balance and where, in the absence of external influences, the values of economic variables will remain constant.

The equilibrium quantity rises if the rise in demand outweighs the fall in supply. The equilibrium quantity falls if the rise in demand is smaller than the fall in supply. Equilibrium price rises in each scenario.

The supply and demand curves move in opposition to one another. However, the supply curve shifted to the left while the demand curve shifted to the right (signalling a rise in demand) (indicating a decrease in supply).

In the case increase in demand > decrease in supply

In this instance, the supply curve's leftward movement is proportionally less than the rightward change of the demand curve. So, the price and the equilibrium quantity both increase.

Therefore, the equilibrium price and quantity increases.

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Answer:

False

Step-by-step explanation:

The triangles are similar because the angles are the same

We know nothing about the side lengths, so we can say nothing about concurrency.  They may or may not be congruent.  

Area of a circle = πr^2

Area of a sector with angle x° = (x/360) πr^2

for the smaller sector,

x = 80°

r = 8 m

Required area of sector = (80/360) × π × 8^2 = 44.68 m^2

To the nearest tenth, Area = 44.68 m^2

The function x²+ 4x = 0 has two roots in common with the equation g(x) = 0, which are x = 0 and x = -4.

To find the number of roots that the functions f(x) = x² + 4x and g(x) = 0 have in common, to solve the equation f(x) = g(x).

Setting the two functions equal to each other,

x² + 4x = 0

To solve this quadratic equation, factor out the common factor x:

x(x + 4) = 0

two possible solutions:

x = 0

x + 4 = 0, which gives x = -4

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1) The area of trapezoid is,

⇒ A = 40.5 cm²

2) The area of triangle is,

⇒ A = 16.69 cm²

We have to given that;

First figure shows a trapezoid

And, Second shows triangle.

Since, We know that;

Area of Trapezoid is,

A = (6 + 12) x 4.5 / 2

A = 18 x 4.5 / 2

A = 40.5 cm²

And, For second figure,

Area of triangle is,

A = 1/2 × Base × Height

A = 1/2 × 7.3 × 4.6

A = 16.69 cm²

Therefore, We get;

1) The area of trapezoid is,

⇒ A = 40.5 cm²

2) The area of triangle is,

⇒ A = 16.69 cm²

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Beth receives £103.45 when she changes €120 back into pounds.

An exchange rate is the value of one currency expressed in terms of another currency. In other words, it is the rate at which one currency can be exchanged for another currency.

Pound is a unit of currency that is used in several countries, including the United Kingdom, Egypt, Lebanon, and Sudan, among others. The pound symbol is "£".

In the given question,

If the exchange rate is £1 = €1.16, this means that for every euro, Beth will get £1/€1.16.

Therefore, the number of pounds Beth receives when she changes €120 back into pounds is:

120 euros * £1/€1.16 = £103.45 (rounded to two decimal places)

So Beth receives £103.45 when she changes €120 back into pounds.

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Answer: the two numbers are in the question

Step-by-step explanation:

i took the test

Answer:

x=9

Step-by-step explanation:

Hope this helps!

Answer:

x = 9

Step-by-step explanation:

\(\frac{\frac{1}{5} x+1}{7} =0.4\) <------------------ convert the decimal into a fraction

\(\frac{\frac{x+5}{5} }{7} =0.4\) <------------------ simplify the complex fraction

\(\frac{x+5}{35} =0.4\)

\(x+5=14\) <------- multiply both sides of the equation by 35

\(x=14-5\) <--- move the constant to the right-hand side and change its sign

x = 9 <---------- subtract the numbers

Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

To establish that S is a subspace of ℝ^3, we must confirm that S is closed under vector summation and scalar multiplication.

A pertinent theorem from linear algebra that can be applied here is the "Subspace Criterion" theorem. This principle states that a non-empty subset S of a vector space V is a subspace if and only if it fulfills the following conditions:

For any vectors a, b ∈ S, their addition a + b ∈ S.

For any vector a ∈ S and any scalar k, the product ka ∈ S.

Now, let's define a vector m = v - e.

Observe that for any y in S, we have:

m • y = (v - e) • y = (v • y) - (e • y) = 0.

This implies that y is orthogonal to the vector m.

Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

As the plane is closed under vector summation and scalar multiplication, S is indeed a subspace of ℝ^3.

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Suppose v = (2, 4, 5) and e = (6, 7, 3) are a pair of vectors in ℝ^3. Let S be the collection of all y in ℝ^3 such that the inner product of v and y equals the inner product of e and y (i.e., v • y = e • y).

What principle can be utilized to demonstrate that S is a subspace of ℝ^3? Describe S in geometric terms.

Answer:

MN = 25

Step-by-step explanation:

If LN=45, then the addition of both quantities will be 45.

LN = 3x + 2 + x + 19

3x + 2 + x + 19 = 45

4x + 21 = 45

4x = 45 - 21 = 24

x = 6

Now that we found the value of "x", we can find the lenght of MN

MN = x + 19

MN = 6 + 19

MN = 25

Hope it was helpful ;)

Answer: MN = 25

Step-by-step explanation:

Since the length is already given we just add the equations equal to it.

45 =  3x + 2 + x + 19  Combine like terms

45 = 4x + 21               Subtract 21 from both sides

24 = 4x                       Divide by 4

x = 6

Now we plug x into the equation needed.

X + 19

6 + 19 = 25

We have to pay $129,216.31; $64,800.

Option (c) is correct.

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is the interest on interest, and it is the mechanism that causes an investment to grow at an exponential rate.

To calculate the amount of money you will have in the investment plan after 18 years, we can use the formula for compound interest:

A = P(1 + r)^n

Where:

A is the final amount (the future value)

P is the principal, or the initial deposit, in this case $300

r is the annual interest rate, in this case 7% (expressed as 0.07)

n is the number of years, in this case 18

m is the number of times the interest is compounded per year. in this case 12 (monthly)

By using this formula, the final amount will be:

A = 300(1 + 0.07/12)^(12*18)

A = $129,218.51

To compare this amount to the total deposits made over the time period, we can calculate the total amount of money deposited by multiplying the deposit amount ($300) by the number of deposits made per month (12) by the number of years (18).

Total deposit = 3001218 = $64,800

Hence, we have to pay $129,216.31; $64,800.

Option (c) is correct.

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Answer:

2s + 4

Step-by-step explanation:

use the distributive property:

1/4 (8z + 16)

2s + 4

Done!

Answer:

1  2/8 inches

Step-by-step explanation:

smallest = 2/8

largest = 1 4/8

difference = 1 2/8