What’s the correct answer for this?

Answer:

Step-by-step explanation:

The parts of the triangle have to be corresponding parts. Some are, but they're upside down.

For example, A could catch a lot of people.

You should go by the left side.

Small / hypotenuse / Large Hypotenuse :: 4.5 cm (small height)/LM (Large Height) Would have been the correct way to write answer A. It isn't that way.

The correct answer is D

Horizontal / Vertical (large) = Horizontal / Vertical (Small)

9/ LM = 6 / 4.5                          Now you can cross multiply and  Continue

Side AC in the triangle is 3.6 and side BC in the triangle is 1.7

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side AC :

4/sin90 = AC / sin64.3

AC × sin90 = sin 64.3 × 4

AC = 0.9 ×4

AC = 3.6 ( nearest tenth)

To find side BC:

using Pythagoras theorem

4² = 3.6² + (BC)²

16 = 12.96 +(BC)²

(BC)² = 16 - 12.96

(BC)² = 3.04

BC = √ 3.04

BC = 1.7( nearest tenth)

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2x - 7 = 26 is the required equation representing the word problem

Third option is correct

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here

Let the number of miles Mary ran this week be x miles

Mary ran 7 miles less than twice the amount of miles she ran last week

Distance ran by Mary this week = 2x -7

By the problem,

2x - 7 = 26

This is the required equation representing the word problem

Third option is correct

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The sales last month were $125090 and the Sales at LL Boutique decreased 10% this month compared to last month.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Sales at LL Boutique decreased 10% this month compared to last month.

Let x be the sale last month

The value of x can be found as follows:

x = 112581/(100% - 10%)

x = 112581/(90%)

x = 112581/(0.90)

x = $125090

Thus, the sales last month were $125090 and the Sales at LL Boutique decreased 10% this month compared to last month.

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Answer: d. 83

Step-by-step explanation: 59+ 24 = 83

Answer:

D. 83 degrees

Step-by-step explanation:

Angle WXY is made up of two angles, angle WXD and angle YXD.

Therefore, angle WXY will be equal to the sum of angle WXD and YXD.

So, we can add angles WXD and YXD together to find out what the measure of angle WXY is.

<WXY= <WXD + <YXD

We know that angle WXD is 24 degrees and angle YXD is 59 degrees.

<WXD= 24

<YXD= 59

<WXY= 24+59

Add 24 and 59

<WXY=83

The measure of angle WXY is 83 degrees, so choice D is correct.

Answer:

y=8

Step-by-step explanation:

Answer: (1/2)x + y + (3/2) = 0

Step-by-step explanation:

The equation of a line in point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line. In this case, the point is (3, -2) and the slope is 1/2, so the equation of the line is:

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

Simplifying, we get:

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

Finally, rearranging the terms, we get:

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

Therefore, the equation of the line in point-slap form is:

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

It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

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The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

x is greater than or equal to four because it is a closed circle and shading to the right which is up

Step-by-step explanation:

Answer: The answer you are looking for is D.

Step-by-step explanation: The closed circle meaning more than or equal to, therefore meaning it is x is greater than or equal to 4.

The answer of the given question based on graphing and crafting is you will create a Mobius strip , and when we cut it into lengthwise  you will get a single, longer Mobius strip.

A Möbius strip is a one-sided surface with only one boundary component. It is named after the German mathematician August Ferdinand Mobius who discovered it in 1858.

A Mobius strip can be created by taking  rectangular strip of paper, giving it  half-twist, and then connecting two ends of  strip together to form  loop. The resulting loop will have interesting property of being non-orientable, which means that it only has one side.

If you take a strip of paper, put two half-twists in it, and glue the ends together, you will create a Mobius strip.

When you cut a Mobius strip length wise down the middle while hugging the right edge, you will get a single, longer Mobius strip that has two full twists instead of the original two half twists. This is because cutting down the middle of the Mobius strip results in flipping one of the twists, which combines with the original twist to create a double twist.

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to get the equation of any straight line, we simply need two points off of it, so let's use the provided ones

\(f(-3)=5\implies \begin{cases} x=-3\\ y=5 \end{cases}\hspace{5em}f(6)=11\implies \begin{cases} x=6\\ y=11 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{11}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-3)}}} \implies \cfrac{6}{6 +3} \implies \cfrac{ 6 }{ 9 } \implies \cfrac{2 }{ 3 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ \cfrac{2 }{ 3 }}(x-\stackrel{x_1}{(-3)}) \implies y -5 = \cfrac{2 }{ 3 } ( x +3) \\\\\\ y-5=\cfrac{2}{3}x+2\implies {\Large \begin{array}{llll} y=\cfrac{2}{3}x+7 \end{array}}\)

Answer:

rate of change is a #

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The unit rate is the cost per thing. You just divide the cost by the amount:

$7.38/18 ounces = $0.41/1 ounce

$15.39/27 ounces = $0.57/1 ounce

Therefore, $7.38 for 18 ounces is the better option.

The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.

To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).

Given data ,

Let the polar curve be represented as A

Now , the polar coordinates is given as

r = -4 sin ( 3θ )

And , To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

So , on simplifying , we get

The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Hence , the polar curve is r = -4 sin ( 3θ )

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Answer:

D

Step-by-step explanation:

Answer:

67.

Step-by-step explanation:

First we find the mean:

Mean is add up everything and divide by how much numbers there are.

The numbers are:

\(49, 65, 41, 38, 87, 55, 95, 106\).

So we add them up which is 536.

Then we divide by how much numbers there are.

There are 8 numbers so 536/8 which is 67.

Hope this helps :D

The company cannot maximize profit because the cost of producing outweighs the revenue or profit made

The profit function is given by P(x) = R(x) - C(x), where R(x) is the revenue function and C(x) is the cost function:

P(x) = R(x) - C(x) = 180x - (65x + 13,800) = 115x - 13,800

To maximize the profit, we need to find the value of x that maximizes P(x). We can do this by finding the vertex of the parabola that represents the profit function. Since the coefficient of the x² term is negative (-115), the parabola opens downward and the vertex represents the maximum value of the function.

The x-coordinate of the vertex is given by x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = -115 and b = 0, so x = 0.

Therefore, the maximum profit occurs when x = 0, which means that the company should not produce any drones. This is because the cost of producing each drone (65x + 13,800) is greater than the revenue generated by selling each drone (180x) for all values of x.

In other words, the company will lose money for each drone produced, so it should not produce any at all.

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Yes, the deviation is greater than it was in tossing them 40 times.

A standard deviation (or σ) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out.

Given:

n= 400 trials

Tossing 2 coins 400 times gives 800 trials

so, \(\sigma_1\)² = np(1- p)

        = 800 x 1/2 x 1/2

      \(\sigma_1\)  = √200

      \(\sigma_1\) = 10√2

Now, n=40

and,  \(\sigma_2\)² = np(1- p)

        = 80 x 1/2 x 1/2

      \(\sigma_2\)  = √20

      \(\sigma_2\) = 2√5

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The rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

The mathematical concept of rate of change describes how much one quantity changes in relation to another. It is calculated as the difference between the change in the output (the dependent variable) and the change in the input (independent variable).

The rate of change, in other words, informs us of how quickly or slowly something is changing through time or in relation to another variable. When tracking the distance an automobile travels over time, for instance, the rate of change would be the car's speed, which is calculated as the distance traveled divided by the time required.

Slope, which is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a graph, is a common way to depict the rate of change. The rate of change of the dependent variable with respect to the independent variable is depicted by the slope of a straight-line graph.

The rate of change in the total amount charged with respect to the time spent on the service call represents the slope of the graph. We can find the slope of the graph by taking any two points on the line and calculating the change in y (total amount) divided by the change in x (time spent on the service call).

Looking at the graph, we can choose two points: (2, 130) and (8, 370). The change in y is:

370 - 130 = 240

And the change in x is:

8 - 2 = 6

Therefore, the slope (rate of change) of the graph is:

240/6 = 40

So the rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

Therefore, the correct option is $40 per hour.

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Answer:

1/3-equivalent fractions include 2/6, 3/9, 4/12, 5/15, and so on.....

2/6, 3/9, 4/12, and 7/21

Answer:

1st number line

Step-by-step explanation:

Answer:

.23/lb

Step-by-step explanation:

3.99/17 = .234

The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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Answer: b

Step-by-step explanation:

all work should be in the picture, lmk if theres anything confusing

Answer:

  34.5%

Step-by-step explanation:

If we assume the relationship is approximately linear with time, we can use technology to draw a line of best fit through the given data. Extrapolating to the year 2030 predicts the value to be 34.5%.

In 2030, we might expect about 34.5% of male first-year college students to claim no religious affiliation.

_____

Additional comment

When it comes to religion, many factors are in play. The assumption we have made has no justification whatever, except that it provides a method for answering the question. (It also predicts the percentage to be 0 in 1963, which we believe to be unrealistic.) An exponential fit is better (r^2 = 0.97), and it predicts about 46.0%.

The functiοn is increasing and has a dοmain οf (1, ∞) is οptiοn D f(x) = lοg (x - 1) + 1.

Every equatiοn with οne οr mοre ratiοnal expressiοns is said tο be ratiοnal. A fractiοn whοse numeratοr and denοminatοr are pοlynοmials is knοwn as a ratiοnal expressiοn. A ratiο οf twο pοlynοmials is, in οther wοrds, a ratiοnal expressiοn.

The LCD (Least Cοmmοn Denοminatοr) οf the fractiοns, eliminatiοn οf the denοminatοrs, and simplificatiοn οf the resultant equatiοn are methοds fοr sοlving ratiοnal equatiοns. Sοlving the resultant equatiοn—which can require factοring, simplificatiοn, οr the use οf οther algebraic strategies—will prοvide the answers tο a ratiοnal equatiοn.

Fοr the given functiοn:

Optiοn A:

f(x) = -lοg(x - 1) + 2

Here, lοg is negative, hence fοr increasing value οf x f(x) will decrease.

Optiοn B:

f(x) = -lοg(x - 2) + 1

Here, lοg is negative, hence fοr increasing value οf x f(x) will decrease.

Optiοn C:

f(x) = lοg(x - 2) + 1

Here, (x - 2) > =

x > 2

The dοmain dοes nοt satisfy.

Optiοn D:

f(x) = lοg (x - 1) + 1

Here, (x - 1) > 0

x > 1 tο infinity.

Hence, the functiοn is increasing and has a dοmain οf (1, ∞) is οptiοn D f(x) = lοg (x - 1) + 1.

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The complete function is: