Linear or non linear?

Answer:

X = 34 (by Pythagoras theorem)

STEP BY STEP:

(30) ^2 +(16)^2 =1156

Root 1156 =34

I hope it helps :))

Answer:

the correct answer is A, y=3.5x + 7

Answer:

32

Step-by-step explanation:

10  divided  by  5/2  or  2  and  1/2  is  4   4  x  8  =  32.

Answer:

Step-by-step explanation:

Hi there!

According to the question;

Distance (d)= 10 miles

Time (t) = 5 hours

Now;

Rate = \(\frac{distance}{time}\)

        = \(\frac{10}{5}\)

Therefore, the rate of his walking rate in miles per hour is 2miles per hour.

Hope it helps!

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Answer:

B

Step-by-step explanation:

The open end is always going to be by the larger number.

Answer:

B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.

HAHAHA

Step-by-step explanation:

The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

The expression is given as:

(5.1)(5.12)4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1) * (5.1^8)

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1)^(1 + 8)

Evaluate the sum

(5.1)(5.1^2)^4 = (5.1)^9

Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

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Answer:

y- intercept, x=0

8(0)-4y=12

y=-3

Answer:

2

Step-by-step explanation:

come on man if you are in -2 dollar debt and someone gives you 4 more dollars you now have 2 dollars

Answer:

3+3+3+3

Step-by-step explanation:

it's ans is 3+3+3

Answer:

I think the answer is D.

sorry if I'm wrong..

-89.5

Step-by-step explanation:

# -0.18x = 2.41 + 13.7 add both side by 13.7

# -0.18x = 16.11

# -0.18x / - 0.18 = 16.11 / -0.18

# x = -16.11 / 0.18 × 100 /100

# x = -1611/18

#x = -89.5

57.9 add 14 to the answer and you get your number

It's a arithmetic sequence

Nth term rule:-

\(\\ \rm\Rrightarrow a_n=a+(n-1)d\)

\(\\ \rm\Rrightarrow a_n=3+(n-1)-4\)

\(\\ \rm\Rrightarrow a_n=3-4n+4\)

\(\\ \rm\Rrightarrow a_n=7-4n\)

20th term

\(\\ \rm\Rrightarrow a_{20}=7-80=-73\)

The correct answers are: c) vomiting and d) weight loss. Gastroesophageal reflux can cause frequent vomiting, which can lead to weight loss in infants.

A nurse caring for an infant with gastroesophageal reflux may observe the following findings associated with this condition:
b) wheezing
c) vomiting
d) weight loss

Infants and children diagnosed with gastroesophageal reflux should not sit or lie down immediately after a meal; patients will be advised to lie face down for at least the first hour after a meal; Sleeping in this position has been shown to reduce the frequency of gastroesophageal reflux. Expressed milk can be thickened as described, in addition to increasing the frequency of feedings; in addition, early teaching (at three (3) months) to eat rice can be attempted; small meals are also recommended; oily and spicy. foods that promote postprandial reflux by increasing gastric emptying and slowing digestion; Chocolate, mint, tomato, citrus fruits, and caffeine should be avoided, which lowers LES pressure.

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Answer:

x=6

Step-by-step explanation:

5(x-3)+2x=27

Distribute

5x-15 +2x =27

Combine like terms

7x-15 = 27

Add 15 to each side

7x-15+15 =27+15

7x =42

Divide each side by 7

7x/7 = 42/7

x = 6

Answer: x = 6

Step-by-step explanation:

Distribute the 5 into the parenthesis:

\(5(x-3)+2x=5x-15+2x\)

Combine like terms, the 5x and 2x:

\(5x+2x-15=7x-15\)

Add 15 to both sides:

\(7x-15=27\)

\(7x=42\)

Divide both sides by 7:

\(x=6\)

Answer:

D

Step-by-step explanation:

Given

n² - n - 42

Consider the factors of the constant term (- 42) which sum to give the coefficient of the n- term (- 1)

The factors are - 7 and + 6 , since

- 7 × + 6 = - 42 and - 7 + 6 = - 1 , then

n² - n - 42 = (n - 7)(n + 6) ← in factored form

Solution :-

Given,

We need to factorise it.

So let's start !!

Two factors are -7 and 6.

Therefore,

The value of interest rate should be 0.085.

We have given that the interest rate is 8.5% So we have given in percentage form but we use always decimal form of interest.

To convert a percentage to a decimal, divide by 100.

So the decimal form of the 8.5% is calculated by

\(\frac{8.5}{100}=0.085\)

Therefore the option c is correct.

Therefore we use the interest rate is 0.085.

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Answer: C 0.085

Step-by-step explanation:

According to the solution we have come to find that, With the help of given ratios, the amount of money spent for 5 food samples would be $12.50.

What is ratio?

A ratio is a comparison of two quantities that expresses how many times one quantity is contained in the other.

From the given data, we can observe that there is a relationship between the number of food samples tasted and the amount of money spent. To find this relationship, we can calculate the ratio of money spent to the number of food samples tasted:

For the first sample, the ratio is 7.50/3 = 2.50.

For the second sample, the ratio is 10.00/4 = 2.50.

For the third sample, the ratio is 17.50/7 = 2.50.

For the fourth sample, the ratio is 25.00/10 = 2.50.

We can see that the ratio is constant at 2.50 for all the samples. This means that the relationship between the number of food samples tasted and the amount of money spent is linear, with a slope of 2.50.

Using this relationship, we can find the amount of money spent for any number of food samples tasted. For example, if someone tasted 5 food samples, we can find the amount of money spent as follows:

money spent = slope * number of food samples tasted + y-intercept

= 2.50 * 5 + 0

= 12.50

Therefore, the amount of money spent for 5 food samples would be $12.50.

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The negative of the expression -2y+13 is 2y-13.

Given Expression:-2y+13

We know that an expression is a combination of numbers, variables, symbols, indeterminants, etc. It is not expressed in equal to form. It expresses a relationship but we cannot find the value of variable because it is usually not present in equal to form.

We have to find the negative of the expression -2y+13 and to find out that we need to just put a negative mark in front of the expression and then adjust the expression for finding the negative of that expression.

Negative of -2y+13=-(-2y+13)

=2y-13.

Negative of an expression expresses opposite thing.

Hence the negative  of -2y+13 is 2y-13.

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Answer :

To find the equation of the line containing the median that passes through point C, we first need to find the midpoint of segment AB. The coordinates of A and B are given as (-4, -2) and (4, 4) respectively, so we can find the x-coordinate of the midpoint by averaging the x-coordinates of A and B, and the y-coordinate of the midpoint by averaging the y-coordinates of A and B.

The midpoint is:

((-4+4)/2, (-2+4)/2) = (0, 1)

To find the slope of the median we will use the point slope form, which is:

y - y1 = m(x - x1)

We know that point C is (18, -8), and the midpoint is (0, 1)

The slope (m) will be:

m = (y2 - y1) / (x2 - x1) = (-8 - 1) / (18 - 0) = -9/18

We can now use point slope form and substitute the point and the slope:

y - (-8) = (-9/18) (x - 18)

To convert it to slope-intercept form we will solve for y:

y = (-9/18)x + (8/9 + 18/9) = -1/2x + 2

The equation of the line containing the median that passes through point C in slope-intercept form is y = -1/2x + 2

The difference between the surface areas is 198 square inches

The side lengths are given as:

L = 7 inches

l = 4 inches

The difference between the surface areas is calculated as:

Difference = 6(L^2 - l^2)

Substitute the known values in the above equation

Difference = 6(7^2 - 4^2)

Evaluate

Difference = 198

Hence, the difference between the surface areas is 198 square inches

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The maximum value of f is 12.

Simplex method to maximize the given function is shown below:

Maximize f = 3x + 8y

Subject to 14x + 7y ≤ 56 and 5x + 5y ≤ 80

Step 1: Rewrite the given problem in the standard form by adding slack variables. 14x + 7y + s1 = 56 5x + 5y + s2 = 80

Step 2: Rewrite the objective function such that it contains all the variables on the left. f - 3x - 8y = 0

Step 3: Convert the objective function into an equation by introducing a new variable z. f - 3x - 8y + z = 0

Step 4: Form the initial simplex tableau by placing all the variables and coefficients in a matrix as shown below:

x y s1 s2

RHS 14 7 1 0 56 5 5 0 1 80 -3 -8 0 0 0 1 1 0 0 0

Step 5: Apply the simplex algorithm to find the maximum value of f. We start with the element -3 in row 3 and column 1. We divide all the elements in row 3 by -3.

This gives: x y s1 s2 RHS 14 7 1 0 56 5 5 0 1 80 1.0 2.67 0 0 0 1 1 0 0 0

The smallest positive number is 5/2.

Therefore, we choose the element 5/2 in row 2 and column 2. We divide all the elements in row 2 by 5/2.

This gives: x y s1 s2 RHS 8.57 0.71 1 -1.43 51.43 1 1 0 0 16

The smallest positive number is 1.

Therefore, we choose the element 1 in row 3 and column 2.

We divide all the elements in row 3 by 1. This gives: x y s1 s2 RHS 1.4 0 0.37 -0.2 8.8 1 0 -0.2 0.4 4.0

The optimum solution is x = 4, y = 0, s1 = 0.4, s2 = 0. The maximum value of f is:f = 3x + 8y = 3(4) + 8(0) = 12.

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The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

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The percentage of American women that have shoe sizes that are at least 11.1 is; 0.0015

Empirical Rule

We are given;

Mean; x' = 8.04

Standard deviation; σ = 1.53

Using the empirical rule, we can have the data either 1, 2, or 3 standard deviations from the mean.

Thus;

At 1 standard deviation from the mean, we have;

8.04 ± 1(1.53)

⇒ (6.52, 8.56)

At 2 standard deviations from the mean, we have;

8.04 ± 2(1.53)

⇒ (5, 11.08)

At 3 standard deviations from the mean, we have;

8.04 ± 3(1.52)

⇒ (3.48, 12.6)

We can see that the one with at least 12,6 is 3 standard deviations from the mean which from the empirical rule is 99.7%

Thus;

percentage of American women have shoe sizes that are at least 12.6 = 100% - 99.7% - 0.15%

P(x ≥ 12.6) = 0.15% = 0.0015

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The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

9

Step-by-step explanation:

LM = 18

LN = 27

MN = LN - LM

MN = 27 - 18

MN = 9

Answer: The answer is 6. Please mark BRAINLIEST!!

Answer:

b

Step-by-step explanation:

The value of x from the image attached to the task content is; 10.

It follows from the task content that the value of x is to be determined from the image attached to the task content.

Hence, since it is evident from the task the sides of the smaller triangle and the larger triangle are in the ratio; 1 : 2.

It therefore follows that the ratio of the congruent sides 3x and 4x + 20 is; 1 : 2.

Therefore, we have;

3x/(4x + 20) = 1/2

6x = 4x + 20

2x = 20

x = 10.

Ultimately, the value of x is; 10.

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