Choose the point on the terminal side of 135º.

The original speed of the train was 32 miles per hour.

We have a train. The train travels a distance equal to 288 miles. It is given that if the speed of a train is increased by 4 miles per hour from its original speed, then it takes 1 hour less to cover the distance. We need to find out the original speed of the train.

Let the original speed of the train be denoted by the variable "s". We can write the following equations using the given data:

s = 288/t

(s + 4) = 288/(t - 1)

We will substitute the value of "s" from the first equation into the second equation.

(288/t) + 4 = 288/(t - 1)

(288)×(t - 1) + 4×t×(t - 1) = 288×t

288t - 288 + 4t² - 4t = 288t

4t² - 4t - 288 = 0

t² - t - 72 = 0

t² - 9t + 8t - 72 = 0

t(t - 9) + 8(t - 9) = 0

(t - 9)(t + 8) = 0

The value of time cannot be negative, so the value of "t" is 9. Now, we will substitute this value into the first equation.

s = 288/t

s = 288/9

s = 32

Hence, the original speed of the train is 32 miles per hour.

To learn more about speed, visit :

https://brainly.com/question/7359669

#SPJ9

Answer:

  $14.17 per hour

Step-by-step explanation:

You want Valerie's average pay to the nearest cent if she works 38 hours per week, for 52 weeks out of the year, receiving annual pay of $28,000.

In a year, Valerie works ...

  (38 hours/week) × (52 weeks/year) = 1976 hours/year

She is paid $28,000 for that number of hours, so her hourly pay is ...

  $28,000/(1976 hours) ≈ $14.17/hour

Valerie's average pay is about $14.17 per hour.

Answer:  Provided that the car has four tires, the cost per tire would be $ 108.75

Step-by-step explanation:

435 (Total tire cost) / 4 (number of tires) = 108.75 (the cost per tire)

**Cost model used does not include taxes or applicable other fees.

Answer:

108.75 each tire

Step-by-step explanation:

because 435.00 dividEd by 4 equals 108.75

SOLUTION:

Step 1:

In this question, we are given the following:

How many subsets does the set T = {salsa, sour cream, queso, guacamole, pico de gallo} have?

Step 2:

The details of the solution are as follows:

Recall that:

The empty set and the set itelf are also part of the subsets that must be included as part of the number of subsets.

If a set has “n” elements,

then the number of subset of the given set is

Hence, the total number of subsets will be:

CONCLUSION:

The final answer is:

Answer:

Step-by-step explanation:

I got 22 my friend hope i helped.

Answer:

$18

Step-by-step explanation:

50% of 40 is 20, so 40-20=20

10% of 20 is 2, so 20-2=18

total price=$18

You have the square QRST, furthermore, you have that sides QS and QU are given by the following algebraic expressions:

QS = 16t - 14

QU = 6t + 11

Due to QRST is a square, the length of all sides are equal.

You can notice by the symmetry of the figure that QS = 2QU

Equal the expressions for QS and 2QU and solvde for t:

16t - 14 = 2(6t + 11) apply distribution property

16t - 14 = 12t + 22 add 14 both sides

16t = 12t + 22 + 14 subtract 12t both sides

16t - 12t = 22 + 14 simplfy like terms

4t = 36 divide by 4 both sides

t = 36/4 simplify the fraction

t = 9

Hence, the value of t is t = 9

Joseph runs 4 miles in 48 minutes.

From the question, we have

Joseph runs 2/3 of a mile in 8 minutes.

Joseph runs 1 mile in (3*8)/2 = 12 minutes.

Joseph runs 4 miles in (12*4)= 48 minutes.

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

To learn more about multiplication visit: https://brainly.com/question/5992872

#SPJ9

Answer:

a = ⁵⁄₃ = 1⅔

b = ¼

c = ⁵⁄₇

d = ¹³⁄₁₂ = 1¹⁄₁₂

e = -⁷⁄₃₀

f = ³⁷⁄₁₄ = 2⁹⁄₁₄

Answer:

Undefined

Step-by-step explanation:

The x-coordinates of two points on the line are the same, so the line is vertical. Thus, the slope is undefined.

Answer:

1)To find the mean, median, mode and midrange for each gender.

From the given data,

Male: 191,222,168,154,178,155,190,170,178,202,169,184,149,160,181,158

For Men:

Mean is,

Mean is 175.5625

Arrange the given data in ascending order,

149,154,155,158,160,168,169,170,178,178,181,184,190,191,202,222

Median is,

Median is 174

The mode is one of the values of the measures of central tendency. This value gives us a rough idea about which of the items in a data set tend to occur most frequently.

Mode is 178.

Female: 136,160,101,126,119,165,102,135,137,140,115,126,140,121,124

For Women:

Mean is,

Mean is 129.8

Arrange the given data in ascending order,

101,102,115,119,121,124,126,126,135,136,137,140,140,160,165

Median is 126

Mode is 126,140

The constant of proportionality is 20.

What is constant of proportionality?

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Given,

the recipe uses 5 cups of strawberries per 1/4 cup of sugar.

And let constant of proportionality is k.

that is

5 α 1/4

5 = k1/4

k = 5(4)

k = 20

To know more about constant of proportionality, visit:

https://brainly.com/question/18597364

#SPJ1

Answer:

y<-7x+2

Explanation:

The slope-intercept form of a line is: y=mx+b

• When slope, m = -7

• y-intercept, b = 2

We have:

Since the boundary line is dashed, the inequality sign has to be < or >.

However, since the area below the line is shaded, we can now conclude that the inequality sign is: <

The inequality that matches this description is:

The value that will be included in section D is C option 0.

The number that could not be included in the section B is D option [tex]\sqrt{32}[/tex].

An example of a value that could be represented by C is -10.

As we can observe from the figure, we can write the following:-

E is the set of natural numbers.

D is the set of whole numbers.

C is the set of integers.

D is the set of rational numbers.

A is the set of irrational numbers.

The biggest rectangle is the set of real numbers comprising of rational and irrational numbers.

Hence,

The value that will be included in section D is C option 0 as it is whole number.

The number that could not be included in the section B is D option [tex]\sqrt{32}[/tex] as it is an irrational number and will be included at A.

An example of a value that could be represented by C is -10 as C represents the set of integers.

To learn more about whole numbers, here:-

https://brainly.com/question/19161857

#SPJ1

Answer:

f(x)

Step-by-step explanation:

[tex]f(4)=0.3(4)+80=81.2 \\ \\ \\ \frac{g(3)-g(2)}{3-2}=\frac{81-83}{1}=-2 \\ \\ \therefore g(x)-85=-2(x-1) \\ \\ g(x)=-2x+2+85=-2x+87 \\ \\ g(4)=-2(4)+87=79 \\ \\ \therefore f(4)>g(4) \implies \boxed{f(x)}[/tex]

Definition

Theoretical Probability is the ratio of the number of favorable outcomes to the total possible outcomes of an event.

Expressing probability as a formula:

Information about a standard deck of cards:

A standard deck of cards has four suits: hearts, clubs, spades, diamonds. Each suit has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. Thus the entire deck has 52 cards total.

(a) Picture card (J, Q, and K)

In a standard deck, there are 4 Jacks, Queens, and Kings. Hence, the probability of J, Q, and K are:

Probability as a fraction:

In decimal:

Percent:

(b) 9 or 10

There are 4 cards labeled 9 and 10 each.

Probability as a fraction:

In decimal:

In percent:

(c) 2 of heart

In a standard deck of cards, there are only one 2 of hearts.

Probability as a fraction:

In decimal:

In percent:

a) is the graph of inverse sine function.

The inverse of the sine function, also known as the arcsine function, returns the angle's value when the sine function's opposite side and hypotenuse ratio are equal. It produces the angle's value.

When the opposing side and hypotenuse of a right triangle are known, the angles can be determined using the inverse sine function. That is, angle = sin-1. The inverse sine function, which is represented as sin-1 or arcsine, is one of the inverse trigonometric functions that calculates the inverse of the sine function. Each restricted domain inverse of a trigonometric function, such as cosine, tangent, cosecant, or cotangent, exists. The trigonometric ratios from the right-angle triangle are utilized to compute the angles using the inverse function formulas.

Given,

a) is the graph of inverse sine function.

Function - inverse sine

To learn more about function inverse sine, visit:

https://brainly.com/question/28468393

#SPJ1

Answer:

A

Step-by-step explanation:

Solution

Given a rectangle of the dimension

To find the area, A, of a rectangle, the formula is

Where

Substitute the values into the formula above

Hence, the answer is 0.07ft² (nearest hundredth)

Answer:

A

Step-by-step explanation:

The system of equations listed in answer A fits both of the criteria.

as x represents the number of 55-inch televisions and y fits the criteria of the number of 65-inch television, we can use the knowledge we have from the question that we can combine these two variables to get a total number of tv's.

As said in the question: "The first week they sold 44 TVs total" meaning that the combined total amount of TV's sold was 44, meaning x + y (which are just variables, not "known" amounts equates to 44.

x + y = 44

The second equation in the system represents the profits. Using the same knowledge from before, we don't know how many how many tv's of each were sold but we can use these variables to present that each 55-inch tv is worth $349 and each 65-inch tv is worth $469.

349x+469y = 17,516 represents this perfectly, thus making A our answer

Given data:

The depth of water increases per hour is d= 13.5 in/hour.

The given time is t= 6 hours.

The amount of water added is,

Thus, 6.75 feet of water added in 6 hours.

ANSWER

C. 12

EXPLANATION

1/3 of the pizzas is:

Therefore, 6 pizzas were cheese and the rest were pepperoni:

There were 12 pepperoni pizzas.

Answer:

Below

Step-by-step explanation:

Look for   .9300 on the z-score table

   = z-score = + 1.48

  1.48 standard deciations =   1.48 * 15 = 22.2

110 + 22.2 = 132.2

132.2   is 1.48 standard deviations above the mean and is .9308 (93.08%)

Answer:

x=1

Step-by-step explanation:

Both graphs intersect at 1

Answer:

x=1

Step-by-step explanation:

They sectioned at 1

The expression is given as

Step 1: Expand the parenthesis (-8a+1) by multiplying through by -8:

Simplify the expression by collecting and solving like terms:

Thus, the simplest term is 59a - 8

The x-coordinates of the points of intersection of the given function graphs are;

1) x = 0 and x = 2

2) x = -1

3) x = 0

The point of intersection of a graph is defined as the point or coordinates where two lines or curves meet each other.

1) In the first graph, we are given the functions as;

f(x) = -³/₄x² + 3x + 1

g(x) = 2ˣ

Thus;

From the graph, f(x) = g(x) is at (2,4 and (0, 1)

2) In the first graph, we are given the functions as;

f(x) = x² + 4x + 2

g(x) = (¹/₂)ˣ + 1

Thus;

From the graph, f(x) = g(x) is at (-1. 3)

C) In the third graph, we are given the functions as;

f(x) = -⁷/₃x - 3

g(x) = 2ˣ - 4

Thus;

From the graph, f(x) = g(x) is at (0, -3)

Read more about Point of intersection of graph at; https://brainly.com/question/11337174

#SPJ1

The linear inequality y</5/2 x - 7 does not have any common solution set with the given inequality.

The solution sets of the linear inequality  are drawn in the graph attached below,

From the graph it is seen that the yellow part represents the inequality y≥-5/2 x - 3

And the green section of the graph represents the other inequality

y<-5/2 x - 7

As we can see in the graph that the two areas are separate. So there are no common points.

Again if we consider the two inequalities as two lines  y= -5/2 x - 3

and y = -5/2 x - 7 . we can see that they both have the same slopes of  -5/2 so they are parallel lines. so they will never intersect.

Therefore we can conclude that the inequality  y</5/2 x - 7 does not have any common solution set with the given inequality.

To learn more about inequality visit:

https://brainly.com/question/20383699

#SPJ9

Answer:are you fr bro??

1.true

2.true

3.true

4.true

5.true

6.true

7.true

8.true

9.y=2

10.true

11.true

12.y=1

Step-by-step explanation:

1. 5x+12=5x+12

2.7x+12=7x+12

3.5x=5x

4.12y=12y

5.6y+12=6y+12

6.7x+6=7x+6

7.7y+10=7y+10

8.7x+4=7x+4

9.3+3y=13+y

2y=10

y=2

10.14y+13=14y+13

11.5x+1=5x+1

12.12y=12

y=1

Answer:

9/2

Step-by-step explanation:

Answer

the commisoin is 270

The given equation is

To solve for x, the logarithm to indices relationship will be applied

That is

Hence

This is simplified to get

Therefore, the value of x = 4

Answer:

121 pi

Step-by-step explanation:

pi d =22 pi

divide both side by pi to find diameter

d=22

divide by 2 too find radius

11 is the radius

plugg 11 to pi r ²

121 pi

The value of ∠L is 2.909° as the definition of angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint".

An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint. When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates. Based on measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini. In most cases, an angle is expressed in degrees.

Here,

Side k = 130

Side l = 710

Side m = 833.99204

Angle ∠L = 2.909°

Angle ∠M = 16.091°

Angle ∠K = 161°

Angle L=cos⁻¹((m²+ k² - l²)/2mk)

=cos⁻¹((834²+130²-710²)/2*834*130)

= 2.909°

Since the definition of an angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint," the value of ∠L is 2.909°.

To know more about angles,

https://brainly.com/question/28451077?referrer=searchResults

#SPJ1