TRUE/FALSE. the lengths of the altitude of a hypotenuse is the geometric mean of the lengths of the segments of each of the legs.

The ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

To determine how far up the side of the house the ladder reaches, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse of a right triangle, with one side being the distance from the base of the ladder to the house (6 feet) and the other side being the vertical distance we want to find. Let's call the vertical distance "x."

Using the Pythagorean theorem, we have:

(6^2) + (x^2) = (18^2)

36 + x^2 = 324

x^2 = 288

Taking the square root of both sides, we get:

x ≈ √288 ≈ 16.97

Therefore, the ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

Learn more about side here

https://brainly.com/question/17145398

#SPJ11

An 18-foot extension ladder is placed 6 feet away from a house.  How far up the side of the house does the ladder reach? (Round to the nearest hundredth).

The temperature is 77°F if you hear 156 chirps per minute and  is 59°F if you hear 84 chirps per minute.

Given, the outside temperature can be estimated based on how fast crickets chirp. At 104 chirps per minute, the temperature is 63"F and at 176 chirps per minute, the temperature is 81"F. We need to find the temperature if you hear 156 chirps per minute and 84 chirps per minute.

Let the temperature corresponding to 104 chirps per minute be T1 and temperature corresponding to 176 chirps per minute be T2. The corresponding values for temperature and chirp rate form a linear relationship. Taking (104,63) and (176,81) as the two points on the straight line and using slope-intercept form of equation of straight line:

y = mx + b

Where m is the slope and

b is the y-intercept of the line.

m = (y₂ - y₁)/(x₂ - x₁) = (81 - 63)/(176 - 104) = 18/72 = 0.25

Using point (104,63) and slope m = 0.25, we can calculate y-intercept b.

b = y - mx = 63 - (0.25 × 104) = 38

So the equation of the line is given by y = 0.25x + 38

a) Temperature if you hear 156 chirps per minute:

y = 0.25x + 38

where x = 156

y = 0.25(156) + 38y = 39 + 38 = 77

So, the temperature is 77°F if you hear 156 chirps per minute.

b) Temperature if you hear 84 chirps per minute:

y = 0.25x + 38

where x = 84

y = 0.25(84) + 38y = 21 + 38 = 59

So, the temperature is 59°F if you hear 84 chirps per minute.

To know more about , visit:

https://brainly.com/question/7510619

#SPJ11

\(\sf \bf {\boxed {\mathbb {ANSWER:}}}\)

(a) -3 \(\boxed{ > }\) -4

(b) 6 \(\boxed{ >}\) -20

(c) -8 \(\boxed{ < }\) -2

(d) 5 \(\boxed{ > }\) -7

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}\)

Answer:

table b

Step-by-step explanation:

table b is the answer

There are two ways to represent this equation: "x + (x + 1) + (x + 2) = 42" and "(x minus 1) + x + (x + 1) = 42".

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

There are 2 ways,

x+(x+1)+(x+2)=42

(x-1)+x+(x+1)=42

This equation can be written as "x + (x + 1) + (x + 2) = 42" or "(x minus 1) + x + (x + 1) = 42," respectively.

To know more about equation,

https://brainly.com/question/649785

#SPJ1

The answer is C. you're welcome.

Answer:

TRUE.

Step-by-step explanation:

It is true that every member of the target population has the possibility of being included in the sample if the samples are chosen randomly.

However, it is also possible that not all members of the target population will be included in the sample, even if the samples are chosen randomly.

This is because the size of the sample will typically be smaller than the size of the entire target population, so not every member of the population will be included in the sample.

Answer:

x=-3.75

Step-by-step explanation:

17 = -13-8x

30=-8x

x=-3.75

Answer:

Step-by-step explanation:

17=-13-8x

Step 1: add 13 to both sides

30=-8x

Step 2: divide by -8

-3.75=x

Answer:

7/8

Step-by-step explanation:

1 and 1/8

2 and 2/8

Answer:ufk

Step-by-step explanation:

Answer:

6- 8- 10 triangle with 10 as the hypotenuse

Step-by-step explanation:

In any right triangle the hypotenuse must be the longest side.

This is only true for the 6- 8- 10 with 10 as the hypotenuse.

Also using Pythagoras' identity

6² + 8² = 10²

Answer:

x = 4, y = 3

x = 3, y = 4

Step-by-step explanation:

Set equation 2 equal to x or y

y = 7 - x

Sub in place of y in equation 1

x

2 + (7 – x)

2 = 25

x

2 + (7 – x)(7 – x)= 25

Set equal to zero

Expand Brackets and simplify

x

2 + 49 - 14x + x2 = 25

2x2

- 14x + 49 = 25

2x2

- 14x + 24 = 0

Factorise and remove a factor first if

possible!

x

2

- 7x + 12 = 0

(x – 4)(x – 3)= 0

x = 4 and x = 3

Sub values of x into ‘y = 7 – x’

x = 4, y = 3

x = 3, y = 4

please mark as brainlist!!!!

The rational function ƒ(x) that represents the average price per minute x years after 1998 is given by ƒ(x) = g(x) / h(x), where g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138.

To calculate the average price per minute x years after 1998, we need to find the ratio between the average monthly bill (g(x)) and the average number of minutes used (h(x)). Therefore, the rational function ƒ(x) is defined as ƒ(x) = g(x) / h(x).

Given that g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138, we can substitute these expressions into the rational function to obtain the final formula: ƒ(x) = (-0.27x³ + 1.40x² + 1.05x + 39.4) / (-8.25x³ + 53.1x² - 7.82x + 138).

This rational function represents the average price per minute x years after 1998 based on the given average monthly bill and average number of minutes used by U.S. mobile phone users. By plugging in different values for x, you can evaluate the function and obtain the corresponding average price per minute for each year.

Learn more about ratio here: https://brainly.com/question/31945112

#SPJ11

The answer to 32z - 48 using factoring is 3/2.

Given,

32z - 48

We have to find the answer using factoring:

Factoring:

Finding things to multiply together to produce an expression is known as factoring. It is comparable to splitting an expression into numerous smaller expressions.

Here,

32z - 48 = 0

Add 48 to both sides

32z - 48 + 48 = 0 + 48

32z = 48

Divide 32 on both sides

32z/32 = 48/32

z = 48/32

Now, we can factorize 48/32

Take 2 as common factor

(48/2) / (32/2) = 24/16

Again, take 2 as common factor

(24/2) / (16/2) = 12/8

Now, take 4 as common factor

(12/4) / (8/4) = 3/2

Here, z = 3/2

That is, the answer for 32z - 48 using factoring is 3/2.

Learn more about factoring here:

https://brainly.com/question/28193527

#SPJ1

Answer:

1. 6x+10

2. 3x+\(\frac{1}{2}\)/5

3. 2.5x-1.1

I'm not sure if I did it in the correct format. :(

they are called perfect square numbers

4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 heres some hope that helps!

Answer:

Domain: (-∞,∞)

Range: (-∞,∞)

**All real numbers, ℝ is an alternative to (-∞,∞)

x-intercept: -3

y-intercept: 5

To provide a general real-valued solution to a linear system of differential equations, specific equations need to be provided. Without the specific equations, it is not possible to determine the exact solution.

In general, a linear system of differential equations can be written in matrix form as follows:

dY/dt = AY,

where Y is a vector of functions, t is the independent variable, and A is a constant matrix.

To solve this system, one can use methods such as matrix diagonalization, eigenvalues, and eigenvectors, or the method of variation of parameters. These methods allow you to find the general solution of the system, which represents a family of solutions that satisfy the given equations.

It is important to note that the specific form of matrix A and the initial or boundary conditions if provided, will determine the exact solution to the system of differential equations.

Learn more about differential equations here: brainly.com/question/25731911

#SPJ11

Answer:

Z score associated with sleeping 503 minutes = 0 minutes

Step-by-step explanation:

Given values of sleep per night for adults:

Mean value X = 503

Standard deviation σ = s

FInd:

Z score associated with sleeping 503 minutes

Computation:

⇒ P[X = 503]

⇒ P[(x - X) / σ] = [503 - 503] / s

⇒ Z score value = [0] / s

⇒ Z score value = 0

Z score associated with sleeping 503 minutes = 0 minutes

Answer:

Well so if we multiply 6.42*106=680.52.

then subtract 680.52-428000=427319.48

there you go:)

Step-by-step explanation:

1) The following are all least squares assumptions with the exception of:

B) The explanatory variable in regression model is normally distributed.

Explanation:Least Squares AssumptionsThe assumption of Linearity is one of the least squares assumptions, which says that the relationship between the explanatory variable and the response variable is linear. The Constant Variance Assumption is another assumption, which states that the variance of the error terms is the same across all explanatory variable values.

The assumption of Independence requires that each data point is independent of all other data points.The Normality Assumption is another assumption, which states that the error terms are normally distributed. The fifth assumption is that the errors are random and that large outliers are unlikely. This is the only assumption that is not part of least squares regression.

2) The interpretation of the slope coefficient in the model Yi = 30+ẞ1 In(Xi) is as follows:

B) a 1% change in X is associated with a change in Y of 0.01 31.Explanation:The interpretation of the slope coefficient in the model Yi = 30+ẞ1 In(Xi) is as follows: a 1% change in X is associated with a change in Y of 0.01 31. Here, β1 is the slope coefficient and In(Xi) is the natural logarithm of Xi. This implies that a 1% increase in X results in a 0.0131 unit increase in Y, given that all other variables are kept constant.

Learn more about logarithm here,

https://brainly.com/question/30226560

#SPJ11

Answer: 2A/base = Height

Step-by-step explanation:

\(A=\frac{base*height}{2} \\2A=base*height\\\frac{2A}{base} =height\)

Answer:

To divide mixed fractions, you could first convert each to an improper fraction. Then, switch to a multiplication problem by multiply by the reciprocal of the divisor. Simplify and convert your answer back to a mixed fraction to get your answer!

Answer:

Hi

Step-by-step explanation:

Please pick me

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

To know more about significance level:

https://brainly.com/question/4599596

#SPJ4

Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

\(\frac{5}{8}-\frac{1}{8}\\ \\ \frac{5-1}{8}\\ \\\frac{4}{8}\\ \\\frac{1*4}{2*4}\\ \\\frac{1}{2}\)

A self-selecting sample is not likely to be representative. The reason why a self-selecting sample is not likely representative would be discussed below.

A self-selection sample is determined by the individual that are used as data for the research. They are the ones that will determine the inclusion or exclusion of the sample units by either affirming or declining to participate.

The reason self-selecting sample is not likely to be representative is that it is too bias as the individuals that volunteered may not be able to satisfy the goals of the research.

Therefore, a self-selecting sample is not likely to be representative.

Learn more about research here:

https://brainly.com/question/26436072

Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

Graph the linear equation. 3x-4y= 24

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

Let x = 0, then y = -6

Let y = 0, then x = 8

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

Plot (0,-6) and (8,0) and draw a line thru them to get: