Find the area of the bedroom with the shape shown in the figure, in square feet.

Answer:

since y = 0 when x = 0

Step-by-step explanation:

We can start by solving for y in the equation:

y * x = 3/5 y

Dividing both sides by y:

x = 3/5

So the equation y * x = 3/5 y can be simplified to:

y = 5/3 x

This equation shows that there is a proportional relationship between y and x, where y is always equal to 5/3 times x. This relationship can be represented on a graph by plotting points (x, y) and drawing a line through them. The slope of the line will be 5/3, and the y-intercept will be 0, since y = 0 when x = 0.

Answer:

y = ±1/√5

Step-by-step explanation:

3y = 3/5y

⇒3y×5y = 3

⇒15y² = 3

⇒y² = 3/15

⇒y² = 1/5

⇒y = ±1/√5

Answer: The sample space of rolling an eight-sided die would be (1, 2, 3, 4, 5, 6, 7, 8)

Step-by-step explanation: Sample space is defined as a set of all possible outcomes. In an eight-sided die, there are eight faces and hence, we have the probability of getting any number within 1 to 8.

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Answer:

D

Step-by-step explanation:

we can use the formula Q(t) = Q_max * (1 - e^(-t/tau)). The limiting charge is equal to the maximum charge the capacitor can reach, Q_max.

In a series circuit consisting of a capacitor, resistor, and inductor, with a 24-volt battery connected, we need to determine the charge on the capacitor at different time intervals. Given the values of the components (capacitor: 0.25 x 10 F, resistor: 5 x 10¹² Ω, inductor: 1 H) and the initial charge on the capacitor being zero, we can calculate the charge at specific time points and the limiting charge.

To calculate the charge on the capacitor at a given time, we can use the formula for charging a capacitor in an RL circuit. The equation is given by Q(t) = Q_max * (1 - e^(-t / tau)), where Q(t) is the charge at time t, Q_max is the maximum charge the capacitor can reach, tau is the time constant (tau = L / R), and e is the base of the natural logarithm.

Substituting the given values, we can calculate the time constant tau as 1 H / 5 x 10¹² Ω. We can then calculate the charge on the capacitor at specific time intervals, such as 0.001 seconds and 0.01 seconds, by plugging in the respective values of t into the formula.

Additionally, to determine the limiting charge, we need to consider that as time goes to infinity, the charge on the capacitor approaches its maximum value, Q_max. Therefore, the limiting charge is equal to Q_max.

By performing the calculations using the given values and the formulas mentioned above, we can find the exact charge on the capacitor at the specified time intervals and the limiting charge.

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A. The Poisson distribution is a discrete distribution, meaning the possible values our data can take are always integers.
B. It tends to be useful for modeling data of the probability of a given number of events occurring in a fixed interval of time.
C. The Poisson distribution is only characterized by its mean.
D. It tends to be more useful the higher the mean of the data is.

D. It tends to be more useful the higher the mean of the data is. This statement is NOT TRUE about the Poisson distribution. The Poisson distribution is actually more appropriate for modeling events with a relatively low mean occurrence rate.

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Answer: 17.50

Step-by-step explanation:

Answer:

$18.50

Step-by-step explanation:

\(185 \times 6.10 = 1128.50\)

\(1128.50 \div 61 = 18.5\)

Answer:

Step-by-step explanation:

63

1/7x-5=4

1/7x=9

X=63

Answer:

-19

Step-by-step explanation:

x= -5       y = -2

-x^2 - 4xy + y^2

- -5^2 -4(-5 x -2) -2^2                      Plug in

+ 5^2 -4(-5 x -2) -2^2                      Change the signs for - -5

  5^2 - 2^2 - 4(10)                           Place Liked Terms together

  25 - 4 - 40                                    Subtract

      21 - 40

         -19

Answer:

0.21

Step-by-step explanation:

i cant do a number line but to check these all you need to do is compare the digits untill you see one is bigger. once you find that you can tell which one is the biggest number. hope this helps!

Answer:

11/16

Step-by-step explanation:

12 divided by (2+2/3)^2 =1.6875

1.6875 in a decimal form is 11/16

Answer:

\(1\dfrac{11}{16}\)

Step-by-step explanation:

\(\left(2 + \dfrac{2}{3}\right)^{2} =\left(\dfrac{2*3}{1*3}+\dfrac{2}{3} \right)^{2}\\\\\\=\left( \dfrac{6}{3}+\dfrac{2}{3} \right)^{2}\\\\\\=\left( \dfrac{8}{3} \right)^{2}\\\\=\dfrac{64}{9}\)

12 ÷ (2 + 2/3)² = 12 ÷ (64/9)

                      \(= 12 *\dfrac{9}{64}\\\\= 3 *\dfrac{9}{16}\\\\= \dfrac{27}{16}\\\\\\= 1\dfrac{11}{16}\)

umm whichever grade this is I don't know

Answer:

$576.93

Step-by-step explanation:

Car A

13 miles to the gallon (mpg)

13 miles = 1 gallon

Car B

26 miles to the gallon

26 miles = 1 gallon

Car B is more fuel efficient than car A

1 gallon = $3

Assuming that she drives 5,000 miles a year

Cost of buying Car A

5000 miles / 13 miles × $3

= 384.62 × 3

= $1,153.86

Cost of buying car B

5000 miles / 26 miles × $3

= 192.31 × 3

= $576.93

Car A - car B

= $1,153.86 - $576.93

= $576.93

Jasmine will save $576.93 by buying the more fuel efficient car if gas is $3 per gallon

The following values are as follows: a) Mean = 0.6, b) standard deviation = 0.073 and c) Probability is 0.0855

a) As the number of samples is large enough which is up to 30 then the mean of the average number of moths in 30 traps is given as 0.6, given from the central limit theorem.

b) The population deviation divided by the square root of the sample size gives the standard deviation value.

standard derivation = σ/ \(\sqrt{n}\) = 0.4 / \(\sqrt{30}\) = 0.4/ 5.477 = 0.073

c) The probability that an approximately normally distributed data with the standard deviation, σ, with a sample size of n is greater than a number, x, and a mean, μ, is given by

1 - P (X < x)= P (X > x)

= 1 - P(z< x- µ/ σ/\(\sqrt{n}\))

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that the average number of moths in 30 traps is greater than 0.7 is given by:

1 -P (X - 0.7) = P (X > 0.7)

= 1 - P(z < \(\frac{0.7-0.6}{0.073}\)) = 1 - P(z < 1.369)

= 1 - 0.91455 = 0.0855

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The matching of the tangent and sine angles to their expressions will be:

sin(-π/12) = (✓2 - ✓6)/4

tan(π/12) = 2 - ✓3

tan(5π/12) = 2 + ✓3

1. Sin(-π/12) = sin(-15°)

sin(-15°)  = sin(30° + (- 45°)) = sin(30°)cos(-45°) + cos(30°)sin(-45°)

sin(30°)cos(-45°) + cos(30°)sin(-45°) = 1/2 × (√2)/2 + (√3)/2 × (-√2)/2

1/2 × √2/2 + √3/2 × -√2/2 = (√2)/4 - (√6)/4 = ((√2) - (√6))/4

sin(-15°)  = ((√2) - (√6))/4

= sin(-π/12) = (✓2 - ✓6)/4

2. Tan(π/12) = tan(15°)

tan(15°)  = tan(45° + (-30°)) = (tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°))

(tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°)) = ((-1/√3) + 1)/(1 - (-1/√3))

((-1/√3) + 1)/(1 - (-1/√3)) = (3 - √3)/(3 + √3) = (3 - √3)·(3 -√3)/((3 - √3)·(3 + √3))

(3 - √3)·(3 -√3/((3 - √3)·(3 + √3)) = (9 - 6·√3 + 3)/(9 - 3) = (12 - 6·√3)/6

(2 - √3)

tan(π/12) = 2 - ✓3

3. Tan(5π / 13) = tan(75°)

tan(75°)  = tan(30° + 45°) = (tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°))

(tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°)) = ((1/√3) + 1)/(1 - 1/√3)

((1/√3) + 1)/(1 - 1/√3) = (3 + √3)/(3 - √3) = (3 + √3)·(3 +√3/((3 - √3)·(3 + √3))

(3 + √3)·(3 +√3/((3 - √3)·(3 + √3)) = (9 + 6·√3 + 3)/(9 - 3) = (12 + 6·√3)/6

(12 + 6·√3)/6 = 2 + √3

= tan(5π/12) = 2 + ✓3

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Answer:

2.0×10¹⁰

Step-by-step explanation:

....................

Answer:

16

Step-by-step explanation:

20*80/100 use this formula to find it

Answer:

Sample

Step-by-step explanation:

A sample refers to a small subset of a particular population of study. The sample must be chos n at random in other to ensure that it is representative of the entire population. In the scenario above, all males in the United States aged 18 - 25 years form the population of interest required for the study. However, due to the fact that it is impractical to include all in the study, then a smaller subset is selected form the population, which is referred to as the sample.

Answer:

conditional

Step-by-step explanation:

If it rains then frog croaks.

you will see it has to rain first

Answer:

\(C(x,y) = (8,5)\)

Step-by-step explanation:

Given

\(A(x_1,y_1) = (4,1)\)

\(B(x_2,y_2) = (10,8)\)

Required

Partition into 2:1

Here, we'll make use of the following formula:

\(C(x,y) = (\frac{nx_1 + mx_2}{m + n},\frac{ny_1 + my_2}{m + n})\)

Where

\(m:n = 2:1\)

Substitute values for m,n,x1,x2,y1 and y2

\(C(x,y) = (\frac{1 * 4 + 2 * 10}{1 + 2},\frac{1 * -1 + 2 * 8}{1 + 2})\)

\(C(x,y) = (\frac{24}{3},\frac{15}{3})\)

\(C(x,y) = (8,5)\)

Answer:\(98.13\ \text{or}\ 261.87^{\circ}\)

Step-by-step explanation:

Given

\(\cos \beta =-\dfrac{\sqrt{2}}{10}\)

As the value of cosine is negative, therefore the angle must lie in II or III quadrant

\(\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}\)

Answer:

x=10°

Step-by-step explanation:

(5x+7)°+(4x+16)°+(5x+17)°=180° (a triangle contains 180°)

5x+7+4x+16+5x+17=180

14x+40=180

14x=180-40

14x=140

x=140/14

x=10

x=10°

note:to avoid writing ° always. I made it implicit.

Answer:

N/A

Step-by-step explanation:

the question is not in depth could you add a photo

Certainly! Here are the step-by-step solutions for problems 10 and 11:

Find the derivatives dy/dx and d²y/dx² of the function y = sin(x) * (x)(x+1)^2.

a) To find the derivative dy/dx, we will use the product rule and the chain rule. Let's start by rewriting the function as y = sin(x) * x(x+1)^2.

Using the product rule, we have:

\(dy/dx = (d/dx)(sin(x)) * x(x+1)^2 + sin(x) * (d/dx)(x(x+1)^2)\)

The derivative of sin(x) with respect to x is cos(x), and the derivative of x(x+1)^2 can be found by applying the product rule and chain rule.

Let's differentiate x(x+1)^2 step by step:

\(d/dx(x(x+1)^2) = (d/dx)(x) * (x+1)^2 + x * (d/dx)((x+1)^2)= 1 * (x+1)^2 + x * (2(x+1)) * (d/dx)(x+1)= (x+1)^2 + 2x(x+1)= (x+1)^2 + 2x^2 + 2x\)

Now we can substitute these results back into dy/dx:

\(dy/dx = cos(x) * x(x+1)^2 + sin(x) * ((x+1)^2 + 2x^2 + 2x)= x(x+1)^2 * cos(x) + sin(x) * ((x+1)^2 + 2x^2 + 2x)\)

b) To find the second derivative d²y/dx², we need to differentiate dy/dx with respect to x. Using the product rule and chain rule again, we have:

\(d²y/dx² = (d/dx)(dy/dx)\)

\(= (d/dx)(x(x+1)^2 * cos(x)) + (d/dx)(sin(x) * ((x+1)^2 + 2x^2 + 2x))\)

Differentiating each term step by step:

\((d/dx)(x(x+1)^2 * cos(x)) = (d/dx)(x) * (x+1)^2 * cos(x) + x(x+1)^2 * (d/dx)(cos(x))\\= (x+1)^2 * cos(x) + x(x+1)^2 * (-sin(x))\\(d/dx)(sin(x) * ((x+1)^2 + 2x^2 + 2x)) = (d/dx)(sin(x)) * ((x+1)^2 + 2x^2 + 2x) + sin(x) * \\\\(d/dx)((x+1)^2 + 2x^2 + 2x)\\= cos(x) * ((x+1)^2 + 2x^2 + 2x) + sin(x) * (2(x+1) + 4x + 2)\)

Now we can substitute these results back into d²y/dx²:

\(d²y/dx² = (x+1)^2 * cos(x) + x(x+1)^2 * (-sin(x)) + cos(x) * ((x+1)^2 + 2x^2 + 2x) + sin(x) * (2(x+1) + 4x + 2)\\= (x+1)^2 * cos(x)\)

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Answer:

a^2 + 4a -5

Step-by-step explanation:

(a+2)^2-9

((a+2)^2) - (9)

a^2+4a+4-9

a^2 + 4a -5

A quadratic functiοn f whose zeroes are 2 and 5 is f(x) = x² - 7x + 10.

A quadratic functiοn is a secοnd-degree pοlynοmial functiοn οf the fοrm:

f(x) = ax² + bx + c

where a, b, and c are cοnstants, and a is nοt equal tο 0. The graph οf a quadratic functiοn is a parabοla, which can οpen upwards οr dοwnwards depending οn the sign οf the leading cοefficient a.

The term ax² is the quadratic term, bx is the linear term, and c is the cοnstant term. The cοefficient a determines the shape οf the parabοla, while the cοnstants b and c determine its pοsitiοn and οrientatiοn.

Quadratic functiοns can have οne, twο, οr zerο real rοοts (alsο knοwn as sοlutiοns οr zerοs), which cοrrespοnd tο the x-intercepts οf the parabοla. The number and nature οf the rοοts depend οn the value οf the discriminant, which is given by b² - 4ac.

If the zeroes are x = 2 and x  = 5 then the solutions must be:

(x - 2)(x - 5)

Multiply them and make a quadratic function

⇒ (x - 2)(x - 5)

⇒ (x²  - 5x)- (2x - 5)

⇒ x² -5x - 2x + 5

⇒ x² -5x - 2x + 5

⇒ x² - 7x + 5

Comparing this to the form of the quadratic function f(x) = ax² + bx + c, we see that a = 1, b = -7, and c = 10. Therefore, the quadratic function with zeros at 2 and 5 is:

f(x) = x²- 7x + 10

So, the correct option is f(x) = x² - 7x + 10.

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Answer:

\(\frac{t^6u^4w^{10}}{v}\)

Step-by-step explanation:

1.) Simplify. Anything to the power of 0 is equal to 1, meaning that you don't have to pay attention to those variables. This brings us with \(t^5u^7v^{-1}wtu^{-3}w^9\).

2.) Combine common powers. When you multiply, you add the exponents. This brings us with \(t^6u^4w^{10}v^{-1}\).

3.) Finally, negative exponents can be brought to the denominator, so we get \(\frac{t^6u^4w^{10}}{v}\).

Graph the solution of the inequality 4.5k>18 is equal to  k > 4 ( see image), by using the inequality equation.

Based on the given conditions,

4.5k>18

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

a ≠ b says that a is not equal to b

a < b says that a is less than b

a > b says that a is greater than b

(those two are known as strict inequality)

a ≤ b means that a is less than or equal to b

a ≥ b means that a is greater than or equal to b.

To solve given graph,

We can write,

4.5k>18

4.5k - 18 > 0

4.5k > 18

k > 18/4.5

We can get the division,

k > 4   (We can see image)

Therefore,

4.5k>18 Graph the solution of the inequality is k > 4 ( see image ), by using inequality equation.

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The congruency statement TS ≅ HG is true. So the required statement is option c.

According to the congruency theorem, two triangles are considered congruent when they have identical sides and they have the same size angles. This can be proved by conditions such as side-angle-side (SAS), side-side-side (SSS), angle-side-ange (ASA), and right angle-hypotenuse-one another side (RHS). Their orientation need not have to be the same also.

Even though the triangle is rotated, the corresponding part of ΔGHJ and ΔSTR are congruent. So the sides ST = GH, RT= HJ, and SR= GJ. And the angles ∠S= ∠G, ∠T=∠H, and ∠R=∠J. From the given, options, option TS ≅ HG is correct.

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The complete question is -

Triangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true?

A. TR ≅ GJ

B. ∠S ≅ ∠H

C. TS ≅ HG

D. ∠R ≅ ∠G

Answer:

\(2m^2\)

Step-by-step explanation:

\(\frac{1}{2m^2} -\frac{1}{m} =\frac{1}{2}\)

\(\frac{1}{2m^2}-\frac{2m}{2m} (\frac{1}{m}) = \frac{m^2}{m^2} (\frac{1}{2})\)

\(\frac{1}{2m^2}-\frac{2m}{2m^2} =\frac{m^2}{2m^2}\)

Answer:

a. Randomly select 4 issues, and examine every page in those issues

Step-by-step explanation:

Based on the information given the since each of the issue contained 250 pages in which

She as well wants to take a RANDOM SAMPLE of 1,000 total pages which means that the best strategies that will accomplish HER INTENDED DESIGN is for her to RANDOMLY SELECT 4 ISSUES and thereby examine every of the page in those issues. The RANDOM SAMPLE numbers of issue to select is calculated using this formula

Random sample=Total pages /Number of pages

Let plug in the formula

Random sample=1,000/250

Random sample=4 issues

Therefore the strategies that will accomplish HER INTENDED DESIGN is for her to RANDOMLY SELECT 4 ISSUES, AND EXAMINE EVERY PAGE IN THOSE ISSUES.

The proportion of the pages that are involved in the advertisement would be:

A). Randomly select 4 issues, and examine every page in those issues.

Given that,

Total pages = 250

Sample opted randomly = 50

As we know,

Random sample \(= Total pages /Number of pages\)

= \(1,000/250\)

∵ Random sample \(= 4\)

Therefore,

4 samples are opted randomly and every page is evaluated in these concerns.

Thus, option A is the correct answer.

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Alternative hypothesis may be one-sided or two-sided.

b) alternative hypothesis.

In statistical hypothesis testing, the alternative hypothesis is one of the suggested propositions in the hypothesis test. In general, the purpose of a hypothesis test is to demonstrate that, under the given conditions, there is sufficient evidence to support the believability of an alternate hypothesis rather than the test's exclusive statement (null hypothesis). Because it is based on a review of the literature and previous studies, it is usually congruent with the research hypothesis. However, the research hypothesis is sometimes congruent with the null hypothesis.

In statistics, alternative hypotheses are frequently denoted as Hₐ or H₁. In a statistical hypothesis test, hypotheses are developed to be compared.

In the field of inferential statistics, two competing hypotheses can be compared using explanatory and predictive power.

This is the two tailed test .

alternative hypothesis is ,

Hₐ :μ≠

For the left tail is

Hₐ : μ<

For the right tail is

Hₐ :  μ >

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The complete question is :

"In hypothesis testing, which hypothesis can be either one-sided or two sided?

Group of answer choices

a.) null hypothesis

b.) alternative hypothesis"