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Answer:

Step-by-step explanation:

Compact cars:

24 divided by 4 = 6

6 cars for 24 people

SUV's:

24 divided by 6 = 4

4 SUV's for 24 people

Answer:

\(4x+6y=24\)

See below for graph.

Step-by-step explanation:

A total of 24 people need to be transported.

Let x represent the number of Uber compact cars.

And let y represent the number of SUVs.

So, the number of people that can be picked up by x compact cars is 4x.

And the number of people that can be picked up by y SUVs is 6y.

And the total is 24 people. So, the two terms must total 24. So, we can write:

\(4x+6y=24\)

We can convert this to slope-intercept form. First, we can divide everything by  2:

\(2x+3y=12\)

Subtracting 2x from both sides yields:

\(3x=-2x+12\)

Finally, dividing both sides by 3 yields our linear equation:

\(\displaystyle y=-\frac{2}{3}x+4\)

Please refer to the below attachment for the graph.

*Note that we should restrain our graph to only QI. This is because we cannot use negative compact cars of SUVs. Also, only integer points on the line will work, as we cannot have, say, 2.5 compact cars.

**Also, the x- and y-intercepts tell us the maximum of each type needed. Either we need 6 compact cars and 0 SUVs, (6, 0); 4 SUVs and 0 compact cars (0, 4); or a combination of them.

The day when the sun is highest in the sky varies depending on the location within the United States. However, generally speaking, the highest point of the sun is reached on the summer solstice, which falls around June 20-21 each year.

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The substitution method calculator online shows the substitution method's result for the pair of linear equations.

One way to solve a system of linear equations with one or more unknown variables in mathematics is the substitution method. For the purpose of solving simultaneous equations, the substitution method is regarded as an algebraic technique. By resolving the equations, this method allows one variable's value to be determined. Any of the preceding equations can be solved by replacing the first variable's value for another variable.

The substitution technique calculator should be used as follows:

Step 1: Type the linear equations' coefficients into the input field.

Step 2: Then, select "Solve" to see the outcome.

Step 3: Lastly, the output field will show the value of the variables x and y in the linear equations solved using the substitution approach.

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Answer:

x = -8

y = 7

Step-by-step explanation:

5x + 7y = 9

2x - 3y = -37

1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)

10x + 14y = 18 (multiplied by 2)

10x - 15y = -185 (multiplied by 5)

2.) Then, subtract the entirety of one equation to isolate the y-value.

10x + 14y = 18

-10x + 15y = 185

3.) Add and subtract values and divide to find y.

29y = 203

y = 7

4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.

15x + 21y = 27

14x - 21y = -259

29x = -232

x = -8

Answer:

x = 5

y = 34

Step-by-step explanation:

Sub y = 8x - 6 into second equation (y = 5x + 9)

8x - 6 = 5x + 9

Rearrange by collecting like terms

8x - 5x = 9 + 6

3x = 15

x = 5

Sub x = 5 into first equation (y = 8x - 6)  

y = (8*5) - 6

y = 40 - 6

y = 34

given :- tanA=4/3

we already know that tanA=P/B

From Pythagorean theorem we get..

H²=P²+B²

H²=4²+3²

H²=16+9

H²=25

H²=5²

H=5

SinA=P/H

CosA=B/H

from that

SinA= 4/5

CosA=3/5

Answer:

6applies

Step-by-step explanation:

because 24 apples+6=30 right right right

Completely factored expressions are:

1. x² - 7x - 18 can be factored as:

(x - 9)(x + 2)

Expand the expression using FOIL:

(x - 9)(x + 2) = x² + 2x - 9x - 18 = x² - 7x - 18

2. p² - 5p - 14 can be factored as:

(p - 7)(p + 2)

Expand the expression using FOIL:

(p - 7)(p + 2) = p² + 2p - 7p - 14 = p² - 5p - 14

3. m² - 9m + 8 can be factored as:

(m - 1)(m - 8)

Expand the expression using FOIL:

(m - 1)(m - 8) = m² - 8m - m + 8 = m² - 9m + 8

Therefore, the completely factored expressions are:

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The graph that follows the domain x = 0 to 4 and the range y = 0 to 10 is added as an attachment

Given that

x = 0 to 4 and y = 0 to 10

The values of the x-axis ranging from 0 to 4 and the values of the y-axis ranging from 0 to 10 represent the domain and range of the coordinate system, respectively

To plot a function on this coordinate system, we can do the following

See attachment for a graph that follows the domain and the range

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Answer:

126

Step-by-step explanation:

The area of the top triangle is (6)(6)/2 = 18 square meters.

The area of the bottom rectangle is (9)(12)=108 square meters.

Adding these, we get the total area to be 126 square meters.

Answer:

All below

Step-by-step explanation:

1. Before tax

500*0.7 (30% off means 100%-30% of the price = 70% or 0.7) = $350

2. Final selling price

350*1.13 (100%+13% as the price after adding 13% of tax to subtotal) = $395.5

D) Factor Analysis. Factor Analysis is a statistical technique used to identify underlying relationships among a number of observed variables, by clustering them into a smaller number of common factors.

Factor Analysis is a statistical technique that can be used to identify patterns of behaviour and traits. It involves collecting data from several variables, such as being talkative, social, and adventurous, and using a statistical technique to identify the underlying relationships among them. First, the researcher must identify the variables and create a matrix of correlations between them. Next, a statistical technique, such as Principal Component Analysis or Exploratory Factor Analysis, can be used to reduce the number of variables. This technique will then identify clusters of variables which represent the underlying relationships. Finally, the researcher can interpret the results of the analysis to identify patterns and correlations among the variables, such as extroversion.

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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-------------

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Kylie is far from luthor by 20 feet.

What is pythagoras theorem?

The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle.

We have these segment lengths of 12 feet and 16 feet.

The goal is to find the length between kylie and luthore, . This is the hypotenuse of the right triangle.

Use the pythagorean theorem to get the following:

12²+16²=hypo²

144+256=hypo²

400=hypo²

hypo=\(\sqrt{400}\)

hypo=20 feet .

kylie is far from luthor by 20 feet.

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Answer:

A

Step-by-step explanation:

The correct answer is A!

Answer:

y = 1/2

Step-by-step explanation:

7y + 8 = 9 + 3y + 2y

7y + 8 = 9 + 5y

7y - 5y + 8 = 9 + 5y - 5y            (subtract 5y from both sides)

2y + 8 - 8 = 9 - 8                        ( subtract 8 from both sides)

2y = 1

(2/2)y = (1/2)                               divide by 2 on both sides

y = 1/2

The value of sin(θ) is approximately 0.921 and the value of cos(θ) is approximately 0.391.

To find the value of each variable using sine and cosine, we need to set up a right triangle with the given information. Let's label the sides of the triangle as follows:

Using the Pythagorean theorem, we can find the length of the hypotenuse:

h2 = s2 + t2

h2 = 31.32 + 13.32

h2 = 979.69 + 176.89

h2 = 1156.58

h = √1156.58

h ≈ 34.0

Now that we know the length of the hypotenuse, we can use sine and cosine to find the values of the variables:

sin(θ) = s / h

sin(θ) = 31.3 / 34.0

sin(θ) ≈ 0.921

cos(θ) = t / h

cos(θ) = 13.3 / 34.0

cos(θ) ≈ 0.391

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Answer:

3

Step-by-step explanation:

Point p was on -1, 2

Point p' was on -3, 6

IF you divde p' by p you get 3, so the dialation is 3.

We need to find the probability of exactly three successes in six trials of a binomial experiment. Probability of success 50% (no success is 50%).

To find this probability, we need to use the following formula for Bernoulli Trials (or Binomial Experiment):

The combinations are given by:

Then, we have:

Thus, the probability of exactly three successes in six trials of a binomial experiment (which the probability of success is 50%) is 0.0625.

Rounding to the nearest tenth is about p = 0.1 (1/10) or 10%.

Answer:

Expected rate of return  =7.1% (Approx.)

Step-by-step explanation:

Given:

Current stock price = $50

Divided d = $2

Growth rate g = 5 %

Find:

Expected rate of return

Computation:

Expected rate of return = D(1+g)/Current Price + g

Expected rate of return = [2(1+5%)/50] + 5%

Expected rate of return  =7.1% (Approx.)

Since He Sells 15 Iteam The He Meet His Goal Of L + S >= 12

As Far As The Other Inequlty

425*9 + 125*6 = $4575 (Goal Acheived)

The Answer Is Yes He Meets Both Of His Goals

The mathematical procedure for decomposing a complex waveform into simpler waveforms is known as Fourier analysis. It allows for the identification of the individual frequency components that contribute to the overall pattern.

Fourier analysis, named after the French mathematician Jean-Baptiste Joseph Fourier, is a fundamental technique used in many fields, including signal processing, physics, and engineering. It is based on the concept that any complex waveform can be represented as a combination of simpler sinusoidal waveforms. These simpler waveforms are characterized by their frequency, amplitude, and phase.

The procedure involves decomposing a complex waveform into its constituent frequencies by applying the Fourier transform. The Fourier transform converts the waveform from the time domain to the frequency domain, revealing the underlying frequency components. By analyzing the resulting spectrum, which shows the amplitude and phase of each frequency component, one can determine the simpler waveforms that make up the original complex pattern.

Fourier analysis has numerous applications, such as analyzing sound waves, image processing, and data compression. It enables us to better understand and manipulate complex signals by breaking them down into their fundamental building blocks.

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Answer:

25:6

Step-by-step explanation:

1/0.24

100/24

50/12

25/6

The numbers that fits into the equation X² = 100 are -10 and 10.

It should be noted that squares simply means multiplying a number by itself.

In this case, X² = 100.

Therefore, the numbers that fits X will be:

X² = 100

Square root both sides

X = ✓100

X = 10

Also, it should be noted that (-10)² = 100

Therefore, the numbers that fits into the equation X² = 100 are -10 and 10.

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To prove that the argument is valid using propositional logic, we can apply logical rules and deductions. Let's break down the argument step by step:

(A + B) ^ (C V -B) ^ (-D --> C) ^ A ^ D

We will represent the proposition as follows:

P: (A + B)

Q: (C V -B)

R: (-D --> C)

S: A

T: D

From the given premises, we can deduce the following:

P ^ Q (Conjunction Elimination)

P (Simplification)

Now, let's apply the rules of disjunction elimination:

P (S)

A + B (Simplification)

Next, let's apply the rule of disjunction introduction:

C V -B (S ^ Q)

Using disjunction elimination again, we have:

C (S ^ Q ^ R)

Finally, let's apply the rule of modus ponens:

-D (S ^ Q ^ R)

C (S ^ Q ^ R)

Since we have derived the conclusion C using valid logical rules and deductions, we can conclude that the argument is valid.

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Answer:

=2,133 3/7cm^2

Step-by-step explanation:

sides

15x16=240

240x2

=480cm^2

24×16=384

384×2= 768cm^2

768+480

a=1248cm^2

24x15=360cm^2

22/7x4x4

=50 2/7cm^2

360- 50 2/7

=354 5/7cm^2

(354 5/7)2

b=709 3/7cm^2

22/7x8x7

=22x8

c=176cm^2

a+b+c

1248+709 3/7+ 176

=2,133 3/7cm^2

Answer:

A) x intercept: (2, 0) , (-2, 0)

y intercept: (0, 16)

B) symmetric about y axis

Step-by-step explanation:

Given the function:

\(y=16-4x^{2}\)

To find:

Algebraically, A) find the x and y intercepts and B) the symmetry type.

Solution:

A) x intercept, let us put y = 0

\(y=16-4x^{2}\)

\(0=16-4x^{2}\\\Rightarrow 4x^2=16\\\Rightarrow x^2=4\\\Rightarrow x =+2, -2\)

x intercept:  (2, 0) , (-2, 0)

For y intercept, put x = 0

\(y=16-4x^{2}\)

y = 16 - 0 =16

y intercept: (0, 16)

B) If the quadratic equation is given as: \(y=ax^2+bx+c\),

the axis of symmetry is a vertical line \(x=-\frac{b}{2a }\)

Here, c = 16

b = 0 and

a = -4

So, Axis of symmetry is:

\(x=-\dfrac{0}{2\times (-4)} = 0\)

which is the equation of y axis.

So, given equation is symmetric about y axis.

Yes, if a figure can be rotated 360° to be mapped onto itself, it is considered to have rotational symmetry.

This is because a 360° rotation means that the figure will return to its original position, making it symmetrical. Rotational symmetry is a type of symmetry where a figure can be rotated about a central point and still look the same. The degree of rotational symmetry depends on the number of times a figure can be rotated to match its original appearance. Therefore, if a figure can be rotated 360° and maintain its original appearance, it is said to have rotational symmetry of degree 1. This is true regardless of the size, orientation, or position of the figure. Yes, a figure that can be rotated 360° to be mapped onto itself is considered to have rotational symmetry. Rotational symmetry occurs when an object can be rotated around a central point and still appear the same as its original position. In the case of a 360° rotation, the figure returns to its initial configuration, confirming its rotational symmetry.

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Answer:

There needs to be 174 Students in the 8th grade class.

Step-by-step explanation:

173(1/3) is 58

58+17=75