Consider the function defined by
y x = − 2 5.
Which statements can be used to justify that the function is linear?
Select all that apply.
A The coefficient of x is greater than 1.
B The function has a constant slope of 2.
C The function has a negative y –intercept.
D The graph of the function is a straight line.
E The equation is written in the form y mx b = + .

PLS HELP ASAP!

Answer:

c

Step-by-step explanation:

The increase in weekly wages for both the man and the boy is Rs. 40.

Let's assume that the increase in wages for both the man and the boy is x.

After the increase, the man's weekly wage will be Rs. 80 + x and the boy's weekly wage will be Rs. 35 + x.

We know that the man's wage after the increase is 8/5 of the boy's wage after the increase. Mathematically,

80 + x = (8/5)(35 + x)

Simplifying this equation, we get:

80 + x = 56 + (8/5)x

Multiplying both sides by 5, we get:

400 + 5x = 280 + 8x

Subtracting 5x from both sides, we get:

400 = 280 + 3x

Subtracting 280 from both sides, we get:

120 = 3x

Dividing both sides by 3, we get:

x = 40

Therefore, the increase in wages is Rs. 40.

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It seems that the table has not been provided in the question. However, I can provide a general method to complete the table based on the given information.

If each rectangle is 16% longer than the original, we can calculate the length of each new rectangle by adding 16% of the original length to the original length.

Let L be the original length of the rectangle. Then, the length of the new rectangle would be L + 0.16L = 1.16L.

Using this formula, we can calculate the length of the new rectangle for any given original length. For example, if the original length is 10 cm, then the length of the new rectangle would be:

1.16 x 10 cm = 11.6 cm

Similarly, we can calculate the length of the new rectangle for any other original length and complete the table accordingly.

The rate of 50 deaths per 1,000 births is known as the infant mortality rate.

What is infant mortality rate?

Infant mortality rate (IMR) is the total number of deaths per 1,000 live births of infants under one year of age. Infant mortality rate is an essential demographic statistic for assessing population health status and identifying health disparities among different groups of the population.

IMR reflects the underlying mortality rate of infants in a society, which can be influenced by several factors, including maternal health, access to healthcare, nutrition, and socio-economic factors.Infant mortality rate (IMR) is the total number of deaths per 1,000 live births of infants under one year of age.

The rate of 50 deaths per 1,000 births is known as the infant mortality rate. The infant mortality rate is considered one of the most critical indicators of a country's health status and is often used to compare the health status of different populations.

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Answer:

10002

Step-by-step explanation: I think this is correct

Answer:

10002

Step-by-step explanation:

9,857 + 310 ÷ 2 - 10 = 10002

The specified details of the triangle, obtained using the segments joining the midpoints of the sides of the triangle ΔADG and trapezoid ACFG indicates that we get;

4. [tex]\overline{CE}[/tex] is a midsegment of ΔBDF

[tex]\overline{BF}[/tex] is the midsegment of trapezoid ACFG

5. CE = 12 cm, AG = 36 cm

6. m∠2 = 116°, m∠3 = 32°, m∠4 = 58°, m∠5 = 58°, m∠6 = 64°

The midpoint of a segment or the side of a triangle is a point that divides the segment into two parts of the same length.

4. The details of the diagram indicates that the segment [tex]\overline{CE}[/tex] is the midsegment of triangle ΔBDF

[tex]\overline{BF}[/tex] is the midsegment of trapezoid ACFG

5. [tex]\overline{CD}[/tex] is congruent to [tex]\overline{BC}[/tex] by the definition of the midpoint of [tex]\overline{BD}[/tex], similarly;

[tex]\overline{BC}[/tex] is congruent to [tex]\overline{AB}[/tex], by the definition of midpoint of [tex]\overline{AC}[/tex], therefore;

[tex]\overline{CE}[/tex] is the midsegment of triangle ΔBDF, therefore;

CE = (1/2) × BF

CE = (1/2) × 24 cm = 12 cm

CE = 12 cm

ΔBDF and ΔADG and ΔCDE are similar triangles, therefore;

[tex]\overline{BD}[/tex] = (2/3) × [tex]\overline{AD}[/tex]

Similarly, by the relationship between similar triangles we get;

[tex]\overline{BF}[/tex] = (2/3) × [tex]\overline{AG}[/tex]

BF = 24 cm, therefore;

24 = (2/3) × AG

AG = (3/2) × 24 = 36

AG = 36 cm

6. The length of a median of a right triangle, drawn from the right angled vertex, is half the length of the hypotenuse side.

Therefore; ΔACM and ΔABM are an isosceles triangles

m∠1 = m∠3 = 32°

m∠2 = 180° - (32° + 32°) = 116°

m∠2 = 116°

m∠3 = 32°

m∠4 = m∠5 = 90° - m∠1

m∠4 = m∠5 = 90° - 32° = 58°

m∠4 = 58°

m∠5 = 58°

m∠6 = 180° - (m∠4 + m∠5)

m∠6 = 180° - (58° + 58°) = 64°

m∠6 = 64°

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The line of best fit suggests that the temperature of the water in the beaker after 6 minutes will be approximately 91.8°C. This is because when x = 6, the equation gives us y = 91.8.

The line of best fit for this data is y = 5.3x + 23. This equation can be used to make a conjecture about the temperature of the water in the beaker if heated for 6 minutes. To calculate this, substitute x = 6 into the equation: y = 5.3(6) + 23. Simplifying this equation, we get y = 31.8 + 23, which gives us y = 54.8. This is the temperature of the water in the beaker if heated for 6 minutes, which is approximately 91.8°C. hence, The line of best fit suggests that the temperature of the water in the beaker after 6 minutes will be approximately 91.8°C. This is because when x = 6, the equation gives us y = 91.8.

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Answer:

The Position Vectors of points A,B,C with respect to the origin are 8i-10j, 2i+6j and -10i +4j respectively. If ABCN is a parallelogram find The Position Vector of N. /AN/ and /AB/. Acute angle between AN and AB

The degree of the polynomial is 2, and the leading coefficient is 3. The polynomial has two terms, so we classify it as a binomial.

What is the polynomial equation?

A polynomial equation is an equation in which the variable(s) are raised to non-negative integer powers and the coefficients are constants. In other words, it is an equation in which the terms involve only addition, subtraction, multiplication, and positive integer exponents.

The expression is 7 + 3p²

To write the polynomial in standard form, we need to arrange the terms in descending order of degree:

3p² + 7

hence, The degree of the polynomial is 2, and the leading coefficient is 3. The polynomial has two terms, so we classify it as a binomial.

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Answer:

$3.75b + $25 >= $1100

Step-by-step explanation:

Answer:

158degrees

Step-by-step explanation:

2 = 68 ( vertically opposite)

4 = 90 (Vertically opposite)

6= 68 +90 = 158( exterior angle is sum of its opposite interior)

Answer: Answer is below <3

Step-by-step explanation:

1. —1x²(3x²—7x—5)
2. 14x ² (y²—2x+4x²)

3. 8100m²y4

4. (a5— 7b6) (a5 — 7b6)

5. (m+1) (m+11)

6. (a+1) (a+6)

7. —3x+6

8. (—6a+1) (—6a+1) / 4

9. (x+5)²

10. X² — 7xy—88x

Hope this helps!

Answer:

1.True

2.False

3.True

4.False

Answer:

Step-by-step explanation:

The trig ratios as fractions expressed in simplest terms is :cos(K) = 8 √(17)/17  , sin(L) = 9 √(17)/17

Trigonometric ratios are mathematical relationships between the angles and sides of a right-angled triangle. They are ratios of the lengths of two sides of a right triangle in relation to one of its acute angles. The three primary trigonometric ratios are sine, cosine, and tangent, which are commonly denoted as sin, cos, and tan, respectively.

Sine: The sine of a right triangle angle seems to be the ratio of the length of the opposite side towards the length of the hypotenuse.

Cosine: The cosine of an angle in a right triangle is the ratio of the length of the adjacent side to the angle towards the length of the hypotenuse.

Tangent: In a right triangle, the tangent of an angle is really the ratio of the length of the side opposite the angle to the length of the adjacent side.

Given: A right angle triangle JKL, with angle J = 90 degrees, JL = sqrt(17), JK = 8, LK = 9

We can use the following trigonometric ratios:

To find the values of sin(L) and cos(K), we need to identify the opposite, adjacent and hypotenuse sides of the angles L and K.

For angle K:

cos(K) = adjacent/hypotenuse = JK/JL = 8/√(17)

To make the fraction easier to understand, multiply the numerator and denominator by √(17):

cos(K) = (8/√(17)) x (√(17)/√(17)) = (8 √(17))/17

Therefore, cos(K) = 8 √(17)/17

For angle L:

sin(L) = opposite/hypotenuse = LK/JL = 9/√(17)

To make the fraction easier to understand, multiply the numerator and denominator by √(17):

sin(L) = (9/√(17)) x (√(17)/√(17)) = (9 √(17))/17

Therefore, sin(L) = 9 √(17)/17

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Answer:119.7

Step-by-step explanation:60 divided by 15%

Answer: (28 / 4) + 3 = x; x = the regular price of a notebook not on sale.

Step-by-step explanation: The price of the notebook on sale is $7 and the price of a notebook regularly is $10 (not on sale). Therefore, the equation "(28 / 4) + 3 = x" explains how to come to that value.

Answer:

Let the length of the rectangle be x and the width of the rectangle be y.

Then, we can use the Pythagorean Theorem to find the value of x and y:

x2 + y2 = 62

x2 + y2 = 36

We can use trigonometry to find the value of x and y:

x = 6 sin 30°

y = 6 cos 30°

Therefore, the length of the rectangle is 6 sin 30° cm and the width of the rectangle is 6 cos 30° cm.

Step-by-step explanation:

First of all

You should draw a straight line which is AC=6cm

Then you should take the centre of the line and draw

30 degree in centre. Then you should draw straight line from

30 degree to bisect center point. Then take 3 cm in compass

and join their point.

Answer : n⁸

:) ‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍

Answer:

Step-by-step explanation:

Answer:

top left and top right

Step-by-step explanation:

a right angle is 90⁰

the pattern of the numbers 1,3,6,10,15,21,28,36. What is the 5857th triangular number: The unit digit of the 5857th triangular number is 8.

A series of numbers known as triangular numbers might be demonstrated as the amount of a series of positive whole numbers. The condition Tn = (n(n+1))/2 yields the nth triangular number. The initial not many triangular numbers, for example, are 1, 3, 6, 10, 15, etc. Numerous numerical and non-numerical applications exist for triangular numbers. They can be found, for example, in the investigation of math, combinatorics, and number hypothesis. They are used in calculations for information looking and arranging in fields like software engineering, where they have reasonable applications.

The nth triangular number is given by the recipe:

Tn = (n(n+1))/2

For the given arrangement 1,3,6,10,15,21,28,36, the units digit are:

1, 3, 6, 0, 5, 1, 8, 6, 5, 5, 6, 8, 1, 5, 0, 6, 3, 1, 0, 0, 1, 3, 6, 0, 5, ...

The worth of 5857 is compatible with 7 modulo 10.

Consequently, the unit digit is the seventh number in the cycle above, which is 8.

Thus, the unit digit of the 5857th triangular number is 8.

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the complete question is:

Here is the sequence of numbers called triangular numbers: 1,3,6,10,15,21,28,36, Notice the pattern -the numbers increase by one more each time. What is the unit's digit of the 5857th triangular?

well actually, your answer is -2

not positive 2

you have to take the 9, and subtract it from the other side (the -15), giving you -24

then you divide -24 by 12, giving you x=-2

this is true because when you plug it back in, you get 12 x -2 = -24

-24 + 9 = -15

Answer: Where is the image?

Step-by-step explanation:

The percentage of all possible values of the variable that lie between 10 and 16 is 97.71%, the percentage of all possible values of the variable that are at least 18 is 0.01% and the percentage of all possible values of the variable that are at most 8 is 0.01%.

Given that, variable is normally distributed with mean and standard deviation .

To find the percentage of all possible values of the variable that lie between and .

We can convert the given variable to standard normal variable using Z= (X- μ )/ σ

Therefore, we get, Z1 = (10- 12)/ 1 = -2 And Z2 = (16-12)/1 = 4

Thus, the probability of values that lie between 10 and 16 is given by

P(-2 ≤ Z ≤ 4) = P(Z ≤ 4) - P(Z ≤ -2) = 0.9999 - 0.0228 = 0.9771 = 97.71%.b)

To find the percentage of all possible values of the variable that are at least .Converting the given variable to standard normal variable using Z= (X- μ )/ σ, we get,

Z = (18-12)/1 = 6

The probability of values that are at least 18 is given by

P(Z ≥ 6) = 1- P(Z ≤ 6) = 1- 0.9999 = 0.0001 = 0.01%.c)

To find the percentage of all possible values of the variable that are at most .Converting the given variable to standard normal variable using Z= (X- μ )/ σ, we get,

Z = (8-12)/1 = -4

The probability of values that are at most 8 is given byP(Z ≤ -4) = 0.0001 = 0.01%.

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Applying the laws of cosine, in the second section of her ride, Andariel traveled about 3.012 km, as rounded to 2 decimal places.

The law of cosines is a mathematical formula used to determine the unknown length or angle of a triangle when two sides and an angle or all three sides are known.

Hence, we can think of it as trying to know Andariel's travel distance around a big triangle.

Thus to calculate, using the law of cosines, we have:

[tex]c^2 = a^2 + b^2 - 2ab*cos(C)[/tex]

Where in our case:

If we substitute the values above into the cosine formula, we get:

[tex](5.5)^2 = (6)^2 + (x)^2 - 2(6)(x)*cos(55)[/tex]

[tex]30.25 = 36 + x^2 - 12.0627x[/tex]

Simplifying and rearranging the equation further:

[tex]x^2 - 12.0627x + 5.75 = 0[/tex]

Applying the quadratic formula to simply:

[tex]x = (12.0627 ± sqrt(12.0627^2 - 415.75))/2[/tex]

x = 9.05 or x =3.012.


Remember, we are told Andariel turned left twice and ended up at her starting position, we know that she traveled in a closed loop.

Therefore, the distance she traveled in the second section of her ride must be less than 6 km (the distance she traveled east in the first section). Thus, the distance she traveled last or second section of her ride was 3.012 km.

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