select the function that matches the graph.

The correct option regarding how a business might encourage its employees to participate in a retirement investment plan is given as follows:

By offering a large variety of plan options.

Retirement investment plans are plans in a which a part of the employee's salary goes towards savings, which are retirement plans, as the monetary amount is saved, generating investment, and then when the employee retires this amount with interest is deposed from the bank account.

The most well know retirement plan is the 401k, and the company should offer various options to it's employees, as they may have different interests, such as how long it will take for them to retire, or the amount they want to save, depending on their costs of living.

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The value of (AB) C is,

⇒ (AB) C = \(\left[\begin{array}{ccc}10\\45\\\end{array}\right]\)

We have to given that;

A = \(\left[\begin{array}{ccc}4&3\\1&5\\\end{array}\right]\)

B = \(\left[\begin{array}{ccc}1&-1&3\\4&6&2\\\end{array}\right]\)

C = \(\left[\begin{array}{ccc}0\\2\\1\end{array}\right]\)

Hence, We get;

⇒ (AB) = \(\left[\begin{array}{ccc}16&14&18\\21&29&13\\\end{array}\right]\)

Hence,

⇒ (AB) C = \(\left[\begin{array}{ccc}10\\45\\\end{array}\right]\)

Thus, The value of (AB) C is,

⇒ (AB) C = \(\left[\begin{array}{ccc}10\\45\\\end{array}\right]\)

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The required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.

The intercept of the line is defined as points where the line intersects the principle axes.

Here,
The x-intercept and y-intercept of the line are defined as the points where the given line cuts the coordinate axes.
So, from the above definition, the line intersects the x-axis at +1 and intersects the y-axis at -2.

Thus, the required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.

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Answer:

=> The answer is 16

Step-by-step explanation:

Given :

a = -2

b = 3

c = -1

Answer:

2

Step-by-step explanation:

substitute the given values into the expression

\(\sqrt[4]{(3-(-2))(\frac{-2(3)^2(-1)}{3+3})+1 }\)

= \(\sqrt[4]{(3+2)(\frac{18}{6})+1 }\)

= \(\sqrt[4]{5(3)+1}\)

= \(\sqrt[4]{16}\)

= 2

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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Answer:

\(2\frac{5}{8} cups = 1\frac{1}{2}\ batches\)

Step-by-step explanation:

Given

\(1\frac{3}{4} cups = 1\ batch\)

Required

Number of cups for \(1\frac{1}{2}\) batches

\(1\frac{3}{4} cups = 1\ batch\)

Multiply both sides by \(1\frac{1}{2}\)

\(1\frac{1}{2} * 1\frac{3}{4} cups = 1\ batch * 1\frac{1}{2}\)

\(1\frac{1}{2} * 1\frac{3}{4} cups = 1\frac{1}{2}\ batches\)

Express fractions as improper fractions

\(\frac{3}{2} * \frac{7}{4} cups = 1\frac{1}{2}\ batches\)

\(\frac{21}{8} cups = 1\frac{1}{2}\ batches\)

Express fraction as improper fraction

\(2\frac{5}{8} cups = 1\frac{1}{2}\ batches\)

The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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Answer:

-5

Step-by-step explanation:

Answer:

Mary purchased 160 pounds of sand

Step-by-step explanation:

$72÷$0.45=160

Make this brainiest if you felt this helped you the most have an awesome day or night!

Answer:

4

Step-by-step explanation:

See the attached photo please :)

The expression is given as,

The given expression is simplified as follows:

Thus the result of the given expression is,

Answer:

i'd say it's "a" cause if I solve it for Zero I get x= 3, - 4 so x must bi bigger or equal 3

Answer:

C. x-2

Step-by-step explanation:

edge

Answer: the 3rd the answer c

x-2

Step-by-step explanation:

The wall footing should have a size of 2.4 m × 2.4 m and a thickness of 0.6 m. It should be reinforced with 8-Φ20 bars in the bottom layer and 8-Φ16 bars in the top layer.

It should be reinforced with a grid of Y16 bars at the bottom.

1. Determine the footing size:

Assume a square footing, where L = B = 2.4 m.

2. Calculate the self-weight of the wall:

Self-weight = width × height × density = 0.3 m × 1 m × 20.7 kN/m³ = 6.21 kN/m.

3. Calculate the total design load:

Total load = dead load + live load + self-weight = 291.88 kN/m + 218.91 kN/m + 6.21 kN/m = 516 kN/m.

4. Determine the required area of the footing:

Area = total load / allowable soil pressure = 516 kN/m / 191.52 kN/m² = 2.69 m².

5. Determine the footing thickness:

Assume a thickness of 0.6 m.

6. Calculate the required footing width:

Width = √(Area / thickness) = √(2.69 m² / 0.6 m) = 2.4 m.

7. Determine the reinforcement:

Use two layers of reinforcement. In the bottom layer, provide 8-Φ20 bars, and in the top layer, provide 8-Φ16 bars.

The wall footing should have dimensions of 2.4 m × 2.4 m and a thickness of 0.6 m and width of 1.83 m. It should be reinforced with 8-Φ20 bars in the bottom layer and 8-Φ16 bars in the top layer.

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To calculate f(2), we need to replace n by 2 on f(n) as:

f(n) = n^2 - 2*n

f(2) = 2^2 - 2*2

f(2) = 4 - 4

f(2) = 0

So, f(2) is equal to zero.

Answer: True

The number 'a' has to be 1000 so that the  inequality \(\int\limits^\infty_a {\frac{1}{x^2+1} } \, dx < 0.001\) holds

We know that using integral property of inverse trigonometric function we get, \(\int {\frac{1}{x^2+1} } \, dx =tan^{-1}(x)\)

Now we solve for the definite integral.

\(\int\limits^\infty_a {\frac{1}{x^2+1} } \, dx \\\\= \lim_{t \to \infty} tan^{-1}(x)|\limits^t_a\\\\= \lim_{t \to \infty}[ tan^{-1}(t)-tan^{-1}(a)]\\\\=\frac{\pi}{2} - tan^{-1}(a)\)

We need to find the value of so that the inequality \(\int\limits^\infty_a {\frac{1}{x^2+1} } \, dx < 0.001\) holds

This means that to find the value of 'a' for which,

π/2 - arctan(a) < 0.001

arctan(a) > π/2 - 0.001

a = tan(π/2 - 0.001)

a = 999.99

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The complete question is:

determine how large the number a has to be so that \(\int\limits^\infty_a {\frac{1}{x^2+1} } \, dx < 0.001\)

Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

Answer:

False

Step-by-step explanation:

When triangles are similar, their sides are proportional, not congruent.

I hope this helps :))

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

Step-by-step explanation:

b

The points that lie on the line can be described by the vector (-1 + 2t, -1, -1 + 4t), where t is an element of the reals.

To describe the points that lie on the line passing through points A(-1, -1, -1) and B(1, -1, 3), we can use vector notation and parameter t. First, we need to find the direction vector of the line, which is the difference between the position vectors of A and B:

Direction vector = B - A = (1 - (-1), -1 - (-1), 3 - (-1)) = (2, 0, 4)

Now, let's use the position vector of point A and the direction vector to define the line in vector notation:

Line = A + t(Direction vector) = (-1, -1, -1) + t(2, 0, 4)

In component form:

x = -1 + 2t
y = -1
z = -1 + 4t

The points that lie on the line can be described by the vector (-1 + 2t, -1, -1 + 4t), where t is an element of the reals.

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The points that lie on the line can be described by the vector (-1 + 2t, -1, -1 + 4t), where t is an element of the reals.

To describe the points that lie on the line passing through points A(-1, -1, -1) and B(1, -1, 3), we can use vector notation and parameter t. First, we need to find the direction vector of the line, which is the difference between the position vectors of A and B:

Direction vector = B - A = (1 - (-1), -1 - (-1), 3 - (-1)) = (2, 0, 4)

Now, let's use the position vector of point A and the direction vector to define the line in vector notation:

Line = A + t(Direction vector) = (-1, -1, -1) + t(2, 0, 4)

In component form:

x = -1 + 2t
y = -1
z = -1 + 4t

The points that lie on the line can be described by the vector (-1 + 2t, -1, -1 + 4t), where t is an element of the reals.

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The point between the hour and miniature hands is 52.5 degrees. 

To illuminate this issue, we need to begin with figure out the positions of the hour and miniature hands.

At any given time, the miniature hand will point to the number of minutes past the hour times 6 (since there are 60 mins in an hour and 360 ranges in a circle, every miniature speaks to six ranges).

Additionally, the hour hand will point to the number of hours past midnight times 30 (since there are 12 hours on a clock and 360 degrees in a circle, each hour represents 30 degrees).

Let's expect that it could be a standard 12-hour clock and the time is given in hours and minutes. We'll call the current hour "h" and the current miniature "m". At that point:

Position of the miniature hand = 6m degrees

Position of the hour hand = 30h + 0.5m degrees

Presently ready to calculate the point between the hands by taking the absolute contrast between their positions and subtracting it from 360 degrees (since the hands are on the same side of the clock, we have to discover the littler point between them).

So the equation for the angle between the hands is:

| 0.5(60h - 11m) | degrees

Stopping within the values given within the issue, we get:

| 0.5(60h - 11m) | = | 0.5(603 - 1115) | = | 0.5(-105) | = 52.5 degrees

Subsequently, the point between the hour and miniature hands is 52.5 degrees. 

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Given an observation that is two standard deviations above the expected value of the sum is 266.6667. The probability that the sum is larger than 256 is 0.0848 (approx).

The given observation is two standard deviations above the expected value of the sum. It means that the given observation is 2σ above the mean value. It implies the following relation:

(given value - expected value)/σ = 2

Putting the given values, we get

266.6667 - expected value)/σ = 2

⟹ (266.6667 - expected value)/σ = 2

⟹ 133.33335 - expected value = 2σσ

= (266.6667 - expected value)/2

Substitute σ in the above equation.

⟹ 133.33335 - expected value = (266.6667 - expected value)/2

⟹ 266.6667 - 2 × expected value = 266.6667/2 - 133.33335

⟹ 2 × expected value = 133.33335 - 266.6667/2

⟹ expected value = (133.33335 - 266.6667/2)/2

⟹ expected value = 59.99997

Now, we need to find the probability that the sum is larger than 256.Z = (X - μ) / σZ = (256 - 59.99997) / (266.6667/2)Z = 1.3745736

Probability, P(Z > 1.3745736) = 0.0848300

Therefore, the probability that the sum is larger than 256 is 0.0848 (approx).

Note: In the above solution, we have not used the standard deviation value given in the question. Rather we have found it using the given observation and expected value. This is because it is easy to find the expected value using the given data. Once we have expected value and observation, we can find the standard deviation using the relation (given value - expected value)/σ = 2.

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After one year, the fraction of the recipe that she has not made is 896/1000 or 112/125

Fraction:

A fraction means the part of the whole thing.

For example, a pizza is divided into four equal pieces, then each piece is represented by ¼.

Given:

Your friend has a recipe book with 1000 recipes.

She makes 2 new recipes each week.

We need to find the fraction of the recipes has she not made after one year.

We know that,

1 year = 52 week

So, here they given that she will make 2 recipes per week.

So, in one year she will make

=> 2 x 52 = 104

So, the remaining recipes in the book is

=> 1000 - 104

=> 896

So, the fraction is

=> 896 / 1000

When we simplify it, then we get

To simplify, we need to find the Greatest Common Factor (GCF) of 896 and 1000, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 8, and getting our simplified answer:

=> 112 / 125

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The rule for the graph of g is g(x) = -4(x^2-3). This graph is a vertical stretch by a factor of 4 and a reflection in the x-axis of the graph of f(x) = x^2-3.

Answer:

40

Step-by-step explanation:

area is length times width for 2d shapes. do 4x10 the are is 40

Answer:

Part A; Y - intercept = 4 matches,

Part B; y = 2x + 4

Part C; 30 Matches Won

Step-by-step explanation:

13 months is represented by the x - axis, so let us

plug it into the equation that we formulated and

solve for y, the number of matches one;

Answer:

You're welcome :)

Step-by-step explanation:

26.68

Two girls are standing \(100\) feet apart and the angles of elevation from the girls to the bird are \(20^0\) and \(45^0\), respectively. Then the height of seagull is  

Angles of elevation is the the angle formed by the line of sight and the horizontal plane while watching an object  at some height.

We have,

Two girls standing \(100\) feet apart.

Angle of elevation of Girl \(1\)   \(=20^0\)

Angle of elevation of Girl \(2\)  \(=45^0\)

Height of seagull from Surface \(=y\)

Let, Distance of  Girl \(1 = \ x\)  and  Distance of  Girl \(2 = \ 100-x\) , as shown in answered image.

For Girl \(2\) ,

\(Tan 45^0=\frac{Height \ of \ seagull}{Distance} =\frac{y}{100-x}\)

⇒   \(1=\frac{y}{100-x}\)

    \(y = 100-x\)

For Girl \(1\) ,

\(Tan 20^0=\frac{Height \ of \ seagull}{Distance} =\frac{y}{x}\)

⇒ \(y= x*Tan20^0\)

    \(y=0.3639x\)

Now, on comparing the values of \(y\) , we get

\(100-x=0.3639x\)

\(x=73.3191\)

Now putting this value of \(x\) in  \(y = 100-x\) , we get

\(y = 100-73.3191\)

\(y=26.680\)

So, the Seagull is \(26.680\) feet high from the ground, which is find out using trigonometric ratios and angles.

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Answer:

1.4959787 × 10^8

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10^b.

Follow the steps below to see how 149,597,870 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 149,597,870

New Number: 1.49597870

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 4 9 5 9 7 8 7 0

Decimal Count: 1 2 3 4 5 6 7 8

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10^b

a = 1.4959787 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

1.4959787 x 10^8

Step 4

Check your work:

10^8 = 100,000,000 x 1.4959787 = 149,597,870

Hope this helped.

Answer:

A = 15 mm²

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the cross section and h the depth )

here h = 12 and V = 180 , then

A × 12 = 180 ( divide both sides by 12 )

A = 15 mm²