ANSWER ASAP
What is the length of Line segment B C, rounded to the nearest tenth?
13.0 units
28.8 units
31.2 units
33.8 units

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \textit{we also know that} \begin{cases} x=-4\\ y=6 \end{cases} \\\\\\ 6=k(-4)\implies \cfrac{6}{-4}=k\implies -\cfrac{3}{2}=k~\hfill \boxed{y=-\cfrac{3}{2}x}\)

Answer:

6.32455532034

Rounded: 6.32

Hope this helps! :)

Answer:

a. x² + 6x + 9 = -22 + 9

Step-by-step explanation:

they moved the 22 to the right by subtracting it. this leaves a binomial on the left side, which if what you want to solve it.

then they completed the square by dividing b (6) by 2 = 3. then squaring 3 to get 9.

if you added 9 to the left, then you have to add 9 to the right, therefore resulting in -22 + 9.

Answer:

In TTM/Imagine Math it is top left or a.

Step-by-step explanation:

Answer:

48 beats per minute

Step-by-step explanation:

I learned this is gym today he told us if you only count 10 seconds multiply the heart beat by 6 so the answer is 48 Noah's resting heart rate is lower than average so he's probably an athlete.

Hey!

Reason being: If Sam has 10, and June has 20 MORE than that, then that means you add 20 to 10. and 20+10 is 30.

Hope this helps!

Answer:

When the determinant of a matrix is almost 0, it means that the matrix is close to being singular, which means that its inverse does not exist or is very close to not existing. This has important implications for the solution of systems of linear equations represented by the matrix.

Specifically, if the determinant of a matrix is almost 0, then the matrix is almost singular, which means that its columns are almost linearly dependent. This, in turn, means that the system of equations represented by the matrix has almost linearly dependent equations, which can lead to multiple solutions or no solutions at all.

In terms of the sensitivity of the solution to changes in the constants of the system, a small change in the constants can lead to a large change in the solution when the determinant of the matrix is almost 0. This is because the inverse of the matrix is very sensitive to changes in its entries when the determinant is almost 0.

For example, consider a system of linear equations represented by a matrix A with determinant very close to 0, and let b be the vector of constants on the right-hand side of the equations. Then, the solution to the system can be approximated by the product of the inverse of A (if it exists) and b, that is:

x = A^(-1) b

However, if A is almost singular, then its inverse is very sensitive to changes in its entries, and a small change in b can lead to a large change in x. This can make the solution to the system unreliable and unstable, and can be a source of numerical errors in computations.

Step-by-step explanation:

Answer:

50 per theme park ticket

Step-by-step explanation:

We Know

9 theme park tickets cost 450.

what is the unit rate?

We Take

450 / 9 = 50 per theme park ticket

So, the unit rate is 50 per theme park ticket.

Answer:

a)  ∠ABC = 54°

a)  ∠ABC = 43°

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

Part (a)

Use the cos trig ratio to find an expression for the measure of BD:

\(\implies \sf \cos (38^{\circ})=\dfrac{BD}{24.3}\)

\(\implies \sf BD=24.3\cos (38^{\circ})\)

Use the cos trig ratio and the found length of BD to find angle ABD:

\(\sf \implies \cos(ABD)=\dfrac{BD}{19.9}\)

\(\sf \implies \angle ABD=\cos^{-1}\left(\dfrac{24.3\cos (38^{\circ})}{19.9}\right)\)

\(\sf \implies \angle ABD=15.79446612...^{\circ}\)

Therefore:

\(\sf \implies \angle ABC=\angle ADB + 38^{\circ}\)

\(\sf \implies \angle ABC=15.79446612...^{\circ}+ 38^{\circ}\)

\(\sf \implies \angle ABC=54^{\circ}\:\:(nearest\:degree)\)

Part (b)

Use the tan trig ratio to find angle CAD:

\(\implies \sf \tan(CAD)=\dfrac{4.9}{7.4}\)

\(\implies \sf \angle CAD=\tan^{-1} \left(\dfrac{4.9}{7.4}\right)\)

\(\implies \sf \angle CAD=33.5110188...^{\circ}\)

Therefore:

\(\sf \implies \angle BAD=13^{\circ}+33.5110188...^{\circ}\)

\(\sf \implies \angle BAD=46.5110188...^{\circ}\)

∠ABC = ∠ABD

Interior angles of a triangle sum to 180°

\(\sf \implies \angle ABD + \angle BAD + \angle BDA=180^{\circ}\)

\(\sf \implies \angle ABC + 46.5110188...^{\circ} + 90^{\circ}=180^{\circ}\)

\(\sf \implies \angle ABC=43^{\circ}\:\:(nearest\:degree)\)

Answer: 12%

Step-by-step explanation:

Answer:

where is the question?...

Step-by-step explanation:

ion see the numbers

Answer:

Sorry but you have to take a picture so that I can see the question , so that I can answer it.

Step-by-step explanation:

7.051 can be written as the fraction 7051/1000.

To express 7.051 as a fraction in the form of p/q, we need to identify the decimal places and convert them to the corresponding fractional parts.

Since 7.051 has three decimal places, we multiply it by 1000 to move the decimal point three places to the right, which gives us 7051.

Now, the numerator (p) of the fraction will be 7051, and the denominator (q) will be the corresponding power of 10, which is 1000.

Therefore, 7.051 can be expressed as 7051/1000.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

In this case, the GCD of 7051 and 1000 is 1, so the fraction is already in its simplest form.

For similar question on fraction.

https://brainly.com/question/20712359  

#SPJ8

Answer:

4/3x

Step-by-step explanation:

Using the concept of percentages the total earning of Cara can be found to be $4200.

Percentage is a number expressed as a fraction of 100. The % sign means to divide the number by 100.

Cara's earning = commission + basic salary

basic salary = $1800 (this is constant)

commission = 6% of $40000

= (6/100)*40000

= $2400

Cara's earning = 1800 + 2400

Hence, her earning is $4200

To learn more about percentages visit the link below:

brainly.com/question/29306119

#SBJ4

The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

Learn more about Expression click here :brainly.com/question/24734894

#SPJ11

Answer:

AB = 6.5

Step-by-step explanation:

If you use the distance formula, you can find the answer.

\(\begin{array}{l}AB=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\=\sqrt{\left(6-0\right)^2+\left(3.5-1\right)^2}\\=\sqrt{6^2+2.5^2}\\=\sqrt{36+6.25}\\=\sqrt{42.25}\\AB=6.5\end{array}\)

Therefore, the distance between the points A(0, 1) and B(6, 3.5) is 6.5. Hope this helps!

Answer:

AB = \({\boxed{\sf{6.5}}}\)

Step-by-step explanation:

Here's the required formula to find distance between points :

\({\longrightarrow{\small{\sf{Distance = \sqrt{\Big(x_{2} - x_{1} \Big)^{2} + \Big(y_{2} - y_{1} \Big)^{2}}}}}}\)

As per given question we have provided that :

Substituting all the given values in the formula to find the distance between points A(0, 1) and B(6, 3.5) :

\({\implies{\small{\tt{AB = \sqrt{\Big(x_{2} - x_{1} \Big)^{2} + \Big(y_{2} - y_{1} \Big)^{2}}}}}}\)

\({\implies{\small{\tt{AB = \sqrt{\Big(6 - 0 \Big)^{2} + \Big(3.5 - 1\Big)^{2}}}}}}\)

\({\implies{\small{\tt{AB = \sqrt{\Big( \: 6 \: \Big)^{2} + \Big(2.5\Big)^{2}}}}}}\)

\({\implies{\small{\tt{AB = \sqrt{\Big( 6 \times 6 \Big)+ \Big(2.5 \times 2.5\Big)}}}}}\)

\({\implies{\small{\tt{AB = \sqrt{\Big(36\Big)+ \Big(6.25\Big)}}}}}\)

\({\implies{\small{\tt{AB = \sqrt{\big(36 + 6.25\big)}}}}}\)

\({\implies{\small{\tt{AB = \sqrt{42.25}}}}}\)

\({\implies{\small{\tt{AB =6.5}}}}\)

Hence, the distance between points AB is 6.5

\(\rule{300}{2.5}\)

The correct answer is: c. Gain of £800,000 to Statement of Profit or loss.

Since Maris uses the fair value model, the gain from the increase in the fair value of the building is recognized in the Statement of Profit or Loss. In this case, the building's fair value increased from £10 million to £10.8 million, resulting in a gain of £800,000. Therefore, the gain of £800,000 should be recognized in the Statement of Profit or Loss.According to the fair value model, any gain or loss resulting from the change in fair value of the asset should be recognized in the financial statements. In this case, the increase in the fair value of the building is considered a gain.

Since the gain of £800,000 (the difference between the fair value of £10.8 million and the original purchase price of £10 million) is a result of the change in the asset's fair value, it should be recognized in the Statement of Profit or Loss. This gain represents the increase in the value of the building during the year.

Learn more about probability here:

https://brainly.com/question/31740607

#SPJ11

Using Euler's method with h = 2, y(10) ≈ 106.88 is the estimated temperature of the coffee after 10 minutes, obtained iteratively from the initial condition y(0) = 95 and  \(\frac{dy}{dt} = \frac{1}{50}(y - 18)\).

To estimate the temperature of a cup of coffee after 10 minutes, we need to numerically solve the given initial value problem. Let's denote the temperature as y(t), where t represents time.

The initial condition is given as y(0) = 95, and we want to estimate y(10).

Euler's method is an iterative process that approximates the solution by taking small steps. The step size is denoted as h, and in this case, we are given a step size of h = 2.

The iterative formula for Euler's method is:

y(t + h) ≈ y(t) + h * f(t, y(t))

In this case, the differential equation is given as \(\frac{dy}{dt} = \frac{1}{50}(y - 18)\) so f(t, y(t)) = (\(\frac{1}{50}\))(y - 18).

We will start with t = 0 and y(0) = 95, and we want to find an approximation for y(10).

Using Euler's method, the calculations are as follows:

Step 1: Compute the slope at t = 0 using the given initial condition.

f(0, 95) = (\(\frac{1}{50}\))(95 - 18) = 1.54

Step 2: Use the iterative formula to estimate y(2).

y(2) ≈ y(0) + h * f(0, y(0)) = 95 + 2 * 1.54 = 98.08

Step 3: Repeat the process to estimate y(4), y(6), y(8), and finally y(10).

y(4) ≈ y(2) + 2 * f(2, y(2))

y(6) ≈ y(4) + 2 * f(4, y(4))

y(8) ≈ y(6) + 2 * f(6, y(6))

y(10) ≈ y(8) + 2 * f(8, y(8))

Performing these calculations will give the estimated temperature of the coffee after 10 minutes.

To know more about the Euler's method refer here,

https://brainly.com/question/32200069#

#SPJ11

The signed numbers are ;

(a) +8000 (assuming the population increased)

(b) -650 (since the elevation is below sea level)

Signed numbers are numbers that can represent both positive and negative values. They are usually denoted by a positive or negative sign placed in front of the number.

In mathematics, signed numbers are used to represent values that can be positive or negative, such as temperatures above or below freezing, gains or losses in finance, or elevations above or below sea level. In these cases, positive numbers represent values that are above a certain reference point, while negative numbers represent values that are below that point.

For example, if a reference point is set at sea level, elevations above sea level are represented by positive numbers, while elevations below sea level are represented by negative numbers. Similarly, if the reference point is set at zero in finance, gains are represented by positive numbers, while losses are represented by negative numbers.

The signed numbers are ;

(a) +8000 (assuming the population increased)

(b) -650 (since the elevation is below sea level)

Learn more about signed numbers below.

https://brainly.com/question/16859468

#SPJ1

The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle has coordinates,

A(2, -2), B(5, -3) and C(2, -4).

First the triangle is translated by the rule (x, y) → (x - 1, y + 6)

A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).

B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)

C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)

Then the translated triangle is reflected across the Y axis.

When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.

A'(1, 4) becomes A''(-1, 4)

B'(4, 3) becomes B''(-4, 3)

C'(1, 2) becomes C''(-1, 2)

Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).

To learn more about Geometric Transformations, click :

https://brainly.com/question/16156895

#SPJ1

The factorization of the trinomial -x² - 2x + 48 gives the expression -1(x + 8)(x - 6)

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Given the polynomial:

-x² - 2x + 48

Factorizing:

-1(x² + 2x - 48)

= -1[x² + 8x - 6x - 48]

= -1[x(x + 8) -6(x + 8)]

= -1(x + 8)(x - 6)

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

I'm not a human I'm bot

Step-by-step explanation:

so if anything PLEASERE DONT REPORT

For the given fraction x^2-8x+16/x^2-16 if x≠4 and x≠-4 the simplified fraction is (x-4)/(x+4).

Simplified fraction refers to the fractions in their lowest form which has been reduced and simplified. The numerator and denominator in the fraction are reduced in simplified fraction to the extent that the only common factor between them is 1.

In order to simplify the fraction (x^2-8x+16)/(x^2-16), first, we must factor the numerator and denominator of the fraction:

Numerator: x^2-8x+16 = (x-4)(x-4) = (x-4)^2

Denominator: x^2-16 = (x-4)(x+4)

So the fraction becomes:

(x-4)^2/(x-4)(x+4)

Next, we can simplify the fraction by canceling out the (x-4) term in the numerator and denominator:

(x-4)/(x+4)

Therefore, the simplified fraction is (x-4)/(x+4) if x≠4 and x≠-4.

Learn more about Simplified fraction:

https://brainly.com/question/15178106

#SPJ11

The significance of a pedigree symbol consisting of a square with a diagonal slash mark through it is that it represents the male members of the family

It is a standard symbol in a pedigree chart. This symbol represents the sex of a person, in this case, it represents the male sex. In other words, a square with a diagonal slash mark through it is used to represent the male gender in pedigree charts.

A pedigree chart is a diagram that shows the genetic relationships between individuals in a family. It is used to track genetic diseases or traits through generations. A pedigree chart can provide information about a family's medical history and can help doctors to understand how genetic disorders are inherited from one generation to the next. Each symbol used in the pedigree chart has a specific meaning.

The squares represent males while the circles represent females. The horizontal line between two symbols represents marriage, and the vertical line from a symbol represents a child of that union.

See more about symbol at: https://brainly.com/question/1389310

#SPJ11

The length of AC is approximately 10.85 cm.

To find the length of AC, we can use the Pythagorean theorem.

According to the Pythagorean theorem, in a right triangle where c is the hypotenuse (the side opposite the right angle) and a and b are the other two sides, the relationship between the lengths of the sides is:

c^2 = a^2 + b^2

In this case, we can use AB as one of the legs of the right triangle and BC as the other leg, with AC being the hypotenuse. So we have:

AC^2 = AB^2 + BC^2

AC^2 = (10.2 cm)^2 + (3.7 cm)^2

AC^2 = 104.04 cm^2 + 13.69 cm^2

AC^2 = 117.73 cm^2

To find the length of AC, we take the square root of both sides:

AC = sqrt(117.73 cm^2)

AC ≈ 10.85 cm

Therefore, the length of AC is approximately 10.85 cm.

Learn more about   length from

https://brainly.com/question/2217700

#SPJ11

Answer:

y=2x+5

Step-by-step explanation:

slope intercept form is represented by: y=mx+ c

where, m is slope

c is y intercept.

Answer:

56 degrees

Step-by-step explanation:

the total sum of the angles in a triangle is 180

90+34+b=180

b=180-124

=56

Answer:

56°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°.

The triangle shown in the image is a right triangle so one of the angle measure is 90°.

Given, the other angle is 34°, we can find the value of missing angle with the following equation:

x + 90° + 34° = 180°

x + 124° = 180°

x = 56°

a) The Empirical Rule, also known as the 68-95-99.7 Rule, applies to data that follows a normal distribution. To estimate the mean and standard deviation of the crayfish weights, we assume the weights are normally distributed.

According to the Empirical Rule:

1. Approximately 68% of the data falls within one standard deviation of the mean.

2. Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, the estimated population mean weight is 1376.5gm, and the estimated standard deviation is 250.5gm.

b) i. The percentage of packets less than 492gm can be calculated using the Z-score formula: Z = (492 - 510) / 8 = -2.25. We find that the percentage is approximately 1.87%.

ii. The percentage of packets more than 506gm can be calculated using the Z-score formula: Z = (506 - 510) / 8 = -0.5. We find that the percentage is approximately 30.85%.

iii. To find the percentage of packets between 494gm and 515gm, we calculate the Z-scores for both values: Z1 = (494 - 510) / 8 = -2 and Z2 = (515 - 510) / 8 = 0.625. This gives us approximately 74.48%.

iv. To find the minimum weight bag that would not need to be repacked, we need to determine the weight that corresponds to the 10th percentile. Using the Z-score formula, we find Z = -1.28. We can then calculate the minimum weight as follows: X = (Z * 8) + 510 = (−1.28 * 8) + 510 = 499.36gm.

v. For the middle 90% of packets to be accepted, we need to find the range that corresponds to the central 90% of the standard normal distribution. The Z-scores for the 5th and 95th percentiles are approximately -1.645 and 1.645, respectively. Using the Z-score formula, we can calculate the acceptable weight range: X1 = (-1.645 * 8) + 510 = 495.16gm and X2 = (1.645 * 8) + 510 = 524.84gm.

vi. To find the probability that the sample mean is less than 512gm, we need to calculate the Z-score for this value using the formula: Z = (512 - 514) / (8 / sqrt(48)) = -0.707.  we find that the probability is approximately 24.01%.

To know more about deviation visit:

https://brainly.com/question/31835352

#SPJ11

The required average score of the class is 68.

Given that,
A class of 25 students took a science test. 10 students had an average (arithmetic mean) score of 80.
The other students had an average score of 60, which is the average score of the whole class is to be detrmined.

The average of the values is the ratio of the total sum of values to the number of values.

Here,
The average of 10 students is 80,
The average of the remaining students is 60 i.e. = 25 - 10 = 15
Now an average of the class,
Average = 80 * 10 + 15 * 60 / 25
              = 1700 / 25
              = 68

Thus, the required average score of the class is 68.

Learn more about average here:

brainly.com/question/24057012

#SPJ1

The number of participants changed at -60 contestants from the second to the fourth round

The rate at which one value in a function changes in proportion to another is known as the average rate of change. The slope of a graphed function is typically calculated using the average rate of change.

When x=2, f(x) = 128

when x = 4, f(x) = 8

Rate of change:

8-128/4-2 = -60

As the tournament draws closer to the final, the number of competitors is decreasing at this fluctuating rate.

The average rate at which the number of participants changed from the second round to the fourth round was -60 contestants per round.

Learn more about rate of change:

https://brainly.com/question/12786410

#SPJ4