Two parallel lines are cut by a transversal. What is the measure of <6?

It takes the textbook 3/2 seconds, or 1.5 seconds, to drop 36 feet.

To solve the equation d(t) = 36 using the model d(t) = 16t^2, you need to isolate t on one side of the equation. You can do this by dividing both sides of the equation by 16:

d(t) / 16 = 36 / 16

t^2 = 36 / 16

t^2 = 9/4

Now you can take the square root of both sides of the equation to solve for t:

sqrt(t^2) = sqrt(9/4)

t = sqrt(9/4)

t = 3/2

Hence,  it takes the textbook 3/2 seconds, or 1.5 seconds, to drop 36 feet.

To learn more about equation, visit:

brainly.com/question/29120629

#SPJ4

The cost of one apple is $0.70.

Let's assume that the cost of one apple is "a" dollars and the cost of one banana is "b" dollars. We can create two equations based on the information given:

4a + 9b = 12.70 ...(1)

8a + 11b = 17.70 ...(2)

To solve for "a", we can use elimination method by multiplying equation (1) by 8 and equation (2) by -4, so that the coefficients of "a" in both equations will be equal and opposite:

32a + 72b = 101.60

-32a - 44b = -70.80

Adding these two equations, we get:

28b = 30.80

Simplifying and solving for "b", we get:

b = 1.10

Now, we can substitute the value of "b" in equation (1) and solve for "a":

4a + 9(1.10) = 12.70

4a + 9.90 = 12.70

4a = 2.80

a = 0.70

Therefore, the cost of one apple is $0.70.

Learn more about cost ,

https://brainly.com/question/30045916

#SPJ4

Answer:

b =950d

Step-by-step explanation:

The manufacturer makes 950 bulbs a day. So, you have to multiply the number of days by 950 to get the number of bulbs made. This can be written as an equation:

b = 950d

Hope this helps :)

An equation to find the number of bulbs b the manufacturer make in any number of days d will be written as b =950d.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a manufacturer produces 950 light bulbs per day.

The equation can be written as:-

b = 950d

The manufacturer makes 950 bulbs a day. So, you have to multiply the number of days by 950 to get the number of bulbs made. This can be written as an equation:

To know more about an expression follow

https://brainly.com/question/14099845

#SPJ2

Mrs. Rose receives the greater pay rise of £660 per year compared to Mrs. Patel's pay rise of £645.

To compare the pay rise for Mrs Patel and Mrs Rose, we need to calculate the actual amount of the pay rise for each of them.

For Mrs Patel, her pay rise is 2.5% of her current salary of £25,800:

Pay rise for Mrs Patel = 2.5% of £25,800 = £645

For Mrs. Rose, her pay rise is £55 per month, which is:

Pay rise for Mrs. Rose = £55 x 12 = £660 per year

Comparing the two pay rises, we see that Mrs. Rose receives a greater pay rise of £660 per year, compared to Mrs. Patel's pay rise of £645. Therefore, Mrs. Rose receives the greater pay rise.

Learn more about pay rise here

brainly.com/question/28734222

#SPJ4

The correct equation is,

⇒ (5 - 6i) (2 + 4i)

Let us assume that;

⇒ (a + bi) (c + di)

⇒ ac + adi + bci + bdi²

⇒ (ac − bd) + (ad + bc)i

Matching coefficients:

30 < ac − bd < 80

ad + bc = 0

Hence, We need to pick four integers between -9 and 9 such that these two equations are satisfied.  One possible combination is:

a = 8, b = -4, c = 6, d = 3

The number would be:

ac − bd = (8)(6) − (-4)(3) = 60

Puzzle 2

Using the result from Puzzle 1:

ac − bd = 34

ad + bc = 8

Like before, it makes sense to assume b is negative.  With some trial and error, one possible answer is:

a = 5, b = -6, c = 2, d = 4

Thus, The correct equation is,

⇒ (5 - 6i) (2 + 4i)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

0.44444444444

Step-by-step explanation:

The various statements regarding the given scatter plot is checked and found to be true or false.

What is a scatter plot?

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of connection, if any, between the values of observed quantities.

1)The equation of the line is y = 2500x - 125.

From the graph we can take two points on the line,

( 2,2250) and ( 10,1250)

Standard equation of line is y = mx + b

where b is y - intercept and m is slope

m = \(\frac{y_{2} - y_{1} }{x_{2}-x_{1}}\) = \(\frac{1250 - 2250}{10 - 2}\) = -125

From graph, b = 2500

Equation of line is

y = -125x + 2500

Therefore the given equation is false.

2) The group of hikers descends about 250 feet every minute.

      From the graph it is evident that for the interval between two points on y-axis is 250 feet and interval of x-axis is 1 minute.

So the hikers descend 250 feet every minute.

Therefore the given statement is true.

3) The hikers began at the elevation of 2500 feet.

     The x-intercept of the graph is 2500 feet.

      So the beginning elevation is 2500 feet.

 Therefore the statement is true.

4) The graph shows a negative association.

Since the line in the graph is going down and the slope is negative, the graph shows a negative association.

Therefore the statement is true.

To learn more about scatter plots, follow the link.

https://brainly.com/question/29149856

#SPJ1

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

To know more about mathematical operations visit:
https://brainly.com/question/8959976

#SPJ9

The number that could replace x to make a true statement is given as follows:

6.

The inequality for this problem is given as follows:

2/3 < x/8 < 7/8.

The meaning of the inequality is given as follows:

For x = 6, we have that:

6/8 = 3/4 = 0.75.

Hence the number six could replace x keeping the inequality true.

More can be learned about inequalities at brainly.com/question/25275758

#SPJ1

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The y intercept occurs when x = 0.

All you have to do is read the table until you come to x = 0.

When you do, read down to get the y value.

The answer is A (0,2)

The solution to the differential equation is y = 2x/(y + 2x), which can be interpreted as y is equal to twice x divided by y plus twice x.

du/dx = 2(y + x)

Integrating both sides, we get

∫du/2(y + x) = ∫dx

1/2 ∫u du = x + C

(1/2)u^2 = x + C

(1/2)(y + x)^2 = x + C

y^2 + 2xy + x^2 = 2x + C

y^2 + 2xy = 2x + C - x^2

y^2 + 2xy = 2x + C - x^2

y^2 + 2xy + C = 2x + C

y^2 + 2xy + C = 2x + C

y^2 + 2xy = 2x

y(y + 2x) = 2x

y = 2x/(y + 2x)

y = 2x/(y + 2x) y = 2x/(y + 2x), which can be interpreted as y is equal to twice x divided by y plus twice x.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

ans :1 mmHg = 133.322 Pa,

To convert mmHg to Pa, you will need to use a conversion factor. The conversion factor between mmHg and Pa is 1 mmHg = 133.322 Pa. This means that for every 1 millimeter of mercury, there are 133.322 pascals.

To convert a specific measurement, you will need to multiply the measurement in mmHg by the conversion factor. For example, if you have a pressure measurement of 50 mmHg, you would multiply 50 by 133.322 to get 6,666.6 Pa.

It's important to remember that the conversion factor is a ratio and it's the same for any measurement. You can use it to convert from any value of mmHg to Pa or vice versa.

Conversion can be used in many fields such as science, engineering, and medicine, it's a fundamental skill that can help you understand measurements and compare them across different units.

In summary, to convert a pressure measurement from mmHg to Pa, you will need to  and multiply the measurement in mmHg by the conversion factor to get the measurement in Pa.

to know more about conversion refer here

brainly.com/question/15184042#

#SPJ11

Answer:

Step-by-step explanation:

1/4 of 300 is equal to 75

1/10 of 300 is equal to 30

75 + 30 = 105

300 - 105 = 195

195 cupcakes are vanilla.

195/300 = 65% of the cupcakes are vanilla

13/20 of the cupcakes are vanilla/195 cupcakes are vanilla.

Answer:

Step-by-step explanation:

A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:

y = A * cos(B * x) + C * sin(D * x)

In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.

The percentage of the population in developed countries who are 65 or older in 2050 will depend on a variety of factors, including changes in birth rates, migration patterns, and improvements in healthcare that could affect life expectancy.

However, according to the United Nations, the proportion of people aged 65 or over in developed countries is projected to increase from 22% in 2020 to 28% in 2050. This represents a significant increase, indicating that aging populations will be a major demographic trend in the coming decades. Some developed countries, such as Japan and Italy, are expected to have even higher proportions of elderly citizens, with estimates of over 35% by 2050.

This demographic shift will have important implications for public policy, including healthcare systems, social security, and labor markets.

Learn more about population here:

https://brainly.com/question/27991860

#SPJ11

Answer: Slope intercept from is y= 4/13x-5/13

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

a + (n-1)d  where a = first term;  n = which number we want;  d = common difference.

=> 4 + (10 - 1)3

=> 4 + (9)*3

=> 4 + 27

=> 31

Answer:

k = 3   or k = -3

Step-by-step explanation:

|4k|=12

There is a positive and a negative solution

4k =12 or 4k = -12

k = 3   or k = -3

Answer:

±3

Step-by-step explanation:

4k=12

-4k=12

k = 3

k = -3

k = ±3

The classification of the compounds according to their functional class: A | Aldehyde

B | Alcohol

C | Ketone

D | Amine

Compound A contains a carbonyl group (C=O) bonded to two alkyl groups (R-). This is the general structure of an aldehyde. Aldehydes are characterized by their strong, sweet odor.

They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.

Compound B contains an oxygen atom (O) bonded to two alkyl groups (R-). This is the general structure of an alcohol. Alcohols are characterized by their ability to dissolve other polar compounds, such as water. They are also used in a variety of products, such as solvents, cleaners, and fuels.

Compound C contains a carbonyl group (C=O) bonded to a propyl group (CH3CH2CH2-) and an amino group (NH2). This is the general structure of a ketone.

Ketones are characterized by their strong, sweet odor. They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.

Compound D contains a nitrogen atom (N) bonded to three alkyl groups (R-). This is the general structure of an amine. Amines are characterized by their basic properties. They are also used in a variety of products, such as pharmaceuticals, plastics, and fertilizers.

To know more about properties  click here

brainly.com/question/30339266

#SPJ11

If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

learn more about perimeter of a rectangle

https://brainly.com/question/10452031

#SPJ1

By graphing the system of equations, we can see that the solution is (4, -2)

Here we want to solve the system of equations:

y = (-3/2)*x + 4

y = (1/2)*x - 4

To solve this graphically, we just need to graph both equations on the same coordinate axis and find the point where the lines intersect.

The graph can be seen on the image at the end.

We can see that the solution is (4, -2)

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

Learn more about regression analysis at

https://brainly.com/question/31691955

#SPJ11

Answer:

The rational number representing the average change in the volume of water each day is:

\(\frac{0.875 liters}{1 day}\)

Step-by-step explanation:

Rational numbers are those that can be represented as the quotient of two integers. That is, rational numbers can be represented by a fraction \(\frac{a}{b}\), where a is the numerator and b is the denominator that must be other than zero. To express the set of these numbers, mathematicians use a capital Q.

In this case we know that Finn's pool leaked a total 3.5 L in 4 days, so the rate can be written as:

\(\frac{3.5 liters}{4 days}\)

Now you must make this division or quotient, where the denominator will be 1 because you must know the number of liters drained per day:

\(\frac{3.5 liters}{4 days}=\frac{0.875 liters}{1 day}\)

So the rational number representing the average change in the volume of water each day is:

\(\frac{0.875 liters}{1 day}\)

Answer:

40, leg

Step-by-step explanation:

The triangle has side lengths of 9, 40, and 41.

41 is the hypotenuse, so 40 is a leg.

Answer:

no

Step-by-step explanation:

(√17)^2+(√204)^2=218,but 15^2=225,so this triangle isn't a right triangle

The equation of the line that passes through the point (-2, -10) and is perpendicular to the line 7x + 9y = 6y - 4 is 9x - 7y = -62.

To find the equation of a line perpendicular to another line, we need to determine the slope of the given line and then find the negative reciprocal of that slope. The negative reciprocal of a slope is the opposite of its reciprocal.

First, let's rearrange the given line equation 7x + 9y = 6y - 4 into slope-intercept form (y = mx + b), where 'm' represents the slope and 'b' represents the y-intercept. We can start by isolating 'y':

7x + 9y = 6y - 4

7x - 6y + 9y = -4

7x + 3y = -4

From the equation, we can see that the slope of the given line is -7/3.

To find the slope of a line perpendicular to this, we take the negative reciprocal of -7/3. The reciprocal of -7/3 is -3/7, and the negative of that is 3/7. Therefore, the slope of the line we're looking for is 3/7.

Now that we have the slope (3/7) and the point (-2, -10) through which the line passes, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1),

where (x1, y1) is the given point and 'm' is the slope.

Substituting the values into the equation, we have:

y - (-10) = (3/7)(x - (-2))

y + 10 = (3/7)(x + 2)

7y + 70 = 3x + 6

7y = 3x - 64

9x - 7y = -64

Finally, we have the equation of the line in standard form: 9x - 7y = -64.

Learn more about slope formula

brainly.com/question/28553357

#SPJ11

Answer:

-2

Step-by-step explanation:

First divide 18/-3 = -6

Then add 4 to -6

Answer is -2

The amount of time it would take to travel a distance of 1100 miles is 2.083 hours.

In Mathematics, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Making time the subject of formula, we have:

Time = distance/speed

Time = 1100/528

Time = 2.083 hours.

Read more on speed here: brainly.com/question/8163450

#SPJ1