PLZ HELP!!
The function c(x) = 2.5x + 15 shows the cost, in dollars, to make x necklaces.

What is c(10)?

What is c(15)?

What is the best interpretation of c(20) = 65 in terms of the problem?

The  solution for the given \(-9.4\geq 1.7x+4.2\)  will be  \(x\leq -8\)

Given that

\(-9.4\geq 1.7x+4.2\)

\(-9.4-4.2\geq 1.7x\)

\(-13.6\geq 1.7x\)

Divide both sides by 1.7 we get

\(\dfrac{-13.6}{1.7} \geq \dfrac{1.7x }{1.7}\)

\(x\leq -8\)

Thus the solution for the given \(-9.4\geq 1.7x+4.2\)  will be  \(x\leq -8\)

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Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinZ = \(\frac{opposite}{hypotenuse}\) = \(\frac{XY}{YZ}\) = \(\frac{7.5}{22.3}\) , then

∠ YZX = \(sin^{-1}\) (\(\frac{7.5}{22.3}\) ) ≈ 19.7° ( to 3 significant figures )

Answer:

Origin = (0, 0)

Gradient or slope:

\({ \tt{slope = \frac{(0 - 3)}{(0 - ( - 2))} }} \\ { \tt{slope = - \frac{3}{2} }}\)

General equation of line:

\({ \bf{y = mx + c}}\)

Consider the origin:

\({ \tt{0 = ( - \frac{3}{2} \times 0) + c }} \\ c = 0\)

Equation of line:

\({ \tt{y = - \frac{3}{2}x }} \\ { \tt{2y = - 3x}}\)

Answer:

-2y+3x=0

Step-by-step explanation:

Slop=(3-0)/(-2-0)=-3/2

(Y-Y1) =m(x-x1)

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

-2y+3x=0

Answer:

Daniel will save $1.18

Step-by-step explanation:

First, find the cost of the name-brand flour with the coupon:

Subtract 1.44 from the original price of 9.12:

9.12 - 1.44

= 7.68

So, the price of the name-brand flour with the coupon is $7.68

Now, find how much he will save by finding the difference between this price and the price of the store brand flour:

8.86 - 7.68

= 1.18

So, Daniel will save $1.18

When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

The magnitude of the force will be 12.6 N.

The force is the external agent applied to the body which tries to move or stop the body. The force can also be defined as the product of the pressure applied to the unit area of the application.

Force and pressure are related in that pressure is the result of a force acting on a surface area. Pressure can be defined as the amount of force exerted per unit area, and it is typically measured in units such as pounds per square inch (psi) or pascals (Pa).

The magnitude  of the force is calculated as,

Force = Pressure x Area

Force = 4.1 x 3

Force = 12.6 N

Therefore, the force will be equal to 12.6 N.

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Answer:

\(\frac{14}{15} \)

Step-by-step explanation:

\(\frac{4}{5} \) × \(\frac{3}{9} \) + \(\frac{2}{3} \) ( firstly, multiply the 2 fractions together )

= \(\frac{12}{45} \) + \(\frac{2}{3} \)

= \(\frac{4}{15} \) + \(\frac{2}{3} \)

= \(\frac{4}{15} \) + \(\frac{2(5)}{3(5)} \)

= \(\frac{4}{15} \) + \(\frac{10}{15} \)

= \(\frac{14}{15} \)

The  worst-case time complexity to determine whether two particular vertices are adjacent in this graph is O(n).

In the worst-case scenario, we need to examine all the edges incident to both vertices to determine whether they are adjacent or not. Since each vertex has degree n/2, there are n/2 edges incident to each vertex. Therefore, in the worst case, we need to examine n/2 + n/2 = n edges.

In the adjacency list representation, we can find the list of adjacent vertices for a given vertex in O(n) time by scanning the adjacency list for that vertex. Therefore, to examine all the edges incident to both vertices, we need to scan the adjacency lists of both vertices, which takes O(n) time for each vertex.

Thus, the worst-case time complexity to determine whether two particular vertices are adjacent in this graph is O(n).

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Answer:

Step-by-step explanation:

Answer:

The answer is 20.

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

look at first one

The value of expression ab + a² is,  9,37,000

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ ab + a²

And, a = 937, b = 63

Now, Substitute the value of a and b in expression as,

⇒ ab + a²

⇒ 937 × 63 + 937²

⇒ 937 (63 + 937)

⇒ 937 × 1,000

⇒ 9,37,000

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Answer:

8 sides

Step-by-step explanation:

THE QUESTION IS NOT COMPLETE, SO A QUESTION OF THE SAME TYPE

Find the number of sides of a regular polygon if exterior angle of the polygon is 45°?

NOTE:

Sum of the exterior angles of any regular polygon is known as (360°)

But from the question,

Each exterior angle is given as( 45°)

Number of sides of a regular polygon can be computed as

(360°/Each exterior angle)

Then substitute the give value of exterior angle, we have

= (360°/45) = 8 sides

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

It is choice a because \(a_{1}\) is the \(1_{st}\) one in the the sequence so in this case it's 2 which eliminate everything except a, but just in case we will find d. So 2 needed a +3 to get to 5 and 5+3 will give you 8. So now we now that  d =3.

The probability that exactly 1 train will pass Mary's house is 0.00889.

According to the given question.

On average, 18 trains pass by Mary's house daily i.e. in 24 hours.

As, we know that "Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event".

Therefore,

The probability that exactly one train will pass Mary's house in a 3 hour period

= \(\frac{^{18C_{1} } }{^{24} C_{3} }\)

\(= \frac{\frac{18!}{1!\times17!} }{\frac{24!}{3!\times 21!} }\)

\(= \frac{18}{\frac{24\times23\times22}{3\times2\times1} }\)

\(=\frac{18}{8\times23\times\ 11}\)

= 18/2024

= 0.00889

Hence, the probability that exactly 1 train will pass Mary's house is 0.00889.

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Answer:

Step-by-step explanation:

3t + 4 = 12 + 3t

4 = 12  (subtract 3t from both sides)

0 = 8   (subtract 4 from both sides)

The number of ways which are there to seat four of a group of ten people around a circular table is 1260.

To choose 4 people from a group of ten we need to count such people, which can be found using 10! / 4! × (10-4)! ,  after solving this we need to multiply 3! by this to get the desired answer. This is done because for that 4 people to sit in a circle, the possibilities for n people to sit around a circle is (n-1)! , and since n here is 4 the possibilities will also be (4-1)! which is 3! here.

Hence the final answer: 3! × 10! / 4! × (10-4)! = 1260

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Answer: (d)

Step-by-step explanation:

Given

Annual profit is given by

\(P=10x^2-280x+1600\)

When it is factored then,

\(\Rightarrow 10x^2-280x+1600=0\\\Rightarrow 10\left( x^2-28x+160\right)=0\\\Rightarrow x^2-20x-8x+160=0\\\Rightarrow x(x-20)-8(x-20)=0\\\Rightarrow (x-8)(x-20)=0\\\Rightarrow x=8,20\)

On factorization, we get that annual profit is zero at a whole prize of $8 and $20.

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

R we suppose to graph?

Step-by-step explanation:

If it’s that u want to ask if ur correct sure the y-intercept is -4

Suppose we have a triangle with sides of length 3, 4, and 5 units. We can use the Pythagorean theorem to verify that this triangle is a right triangle: 3^2 + 4^2 = 9 + 16 = 25 = 5^2. Therefore, the angle opposite the side of length 5 is a right angle. We can also use the Law of Cosines to find the measure of one of the acute angles in the triangle. Let A, B, and C be the vertices of the triangle, with side AB of length 3, side BC of length 4, and side AC of length 5. Let angle C be the angle opposite the side of length 5. Then, by the Law of Cosines, we have cos(C) = (3^2 + 4^2 - 5^2) / (2 * 3 * 4) = -1/8. Since C is acute, we know that cos(C) is positive, so we take the absolute value to get cos(C) = 1/8. Therefore, we have C = arccos(1/8) ≈ 82.62 degrees.

Let's start solving this problem by getting first the price of getting 5 items. We have

We then get the amount to be discounted by multiplying the total cost of 5 items with the discount percentage. We have

We then subtract this amount to the total cost of buying the 5 items to get the final answer. We have

Answer: $46.76

Answer:

first write the formula and also send me the pick

Answer:

x = 11\(\sqrt{3}\) , y = 33

Step-by-step explanation:

using the cosine and sine ratios in the right triangle and the exact values

cos60° = \(\frac{1}{2}\) , sin60° = \(\frac{\sqrt{3} }{2}\) , then

cos60° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{22\sqrt{3} }\) = \(\frac{1}{2}\) ( cross- multiply )

2x = 22\(\sqrt{3}\) ( divide both sides by 2 )

x = 11\(\sqrt{3}\)

and

sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{y}{22\sqrt{3} }\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2y = 22\(\sqrt{3}\) × \(\sqrt{3}\) = 22 × 3 = 66 ( divide both sides by 2 )

y = 33

Step-by-step explanation:

\(\large\underline{\sf{Solution-}}\)

Given that lines makes an angle α, β, γ with x - axis, y - axis and z - axis respectively.

So, By definition of direction cosines,

\(\rm :\longmapsto\:l = cos \alpha \)

\(\rm :\longmapsto\:m = cos \beta \)

\(\rm :\longmapsto\:n = cos \gamma \)

So,

\(\rm :\longmapsto\: {l}^{2} + {m}^{2} + {n}^{2} = 1\)

\(\rm :\longmapsto\: {cos}^{2} \alpha + {cos}^{2} \beta + {cos}^{2} \gamma = 1\)

On multiply by 2 on both sides we get

\(\rm :\longmapsto\: 2{cos}^{2} \alpha + 2{cos}^{2} \beta + 2 {cos}^{2} \gamma = 2\)

can be further rewritten as

\(\rm :\longmapsto\: 2{cos}^{2} \alpha - 1 + 1 + 2{cos}^{2} \beta - 1 + 1 + 2 {cos}^{2} \gamma - 1 + 1 = 2\)

\(\rm :\longmapsto\: (2{cos}^{2} \alpha - 1)+ (2{cos}^{2} \beta - 1)+ (2 {cos}^{2} \gamma - 1) + 3= 2\)

\(\rm :\longmapsto\:cos2 \alpha + cos2 \beta + cos2 \gamma + 3= 2\)

\( \red{ \bigg\{ \sf \: \because \: cos2x = {2cos}^{2}x - 1 \bigg\}}\)

\(\rm :\longmapsto\:cos2 \alpha + cos2 \beta + cos2 \gamma= 2 - 3\)

\(\rm :\longmapsto\:cos2 \alpha + cos2 \beta + cos2 \gamma= - 1\)

Hence,

\(\bf\implies \:\boxed{\tt{ \: cos2 \alpha + cos2 \beta + cos2 \gamma = - 1 \: }}\)

So, option (d) is correct.

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Direction cosines of a line segment is defined as the cosines of the angle which a line makes with the positive direction of respective axis.

The scalar components of unit vector always give direction cosines.

The scalar components of a vector gives direction ratios.

The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable).

It is denoted by r-squared and typically takes values between 0 and 1. A value of 0 indicates that the independent variable does not explain any of the variance in the dependent variable, while a value of 1 indicates that the independent variable explains all of the variance in the dependent variable. The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable). A higher R-squared value indicates a stronger regression relationship between the two variables.

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Answer:

3.08270264 hours

Step-by-step explanation:

The first thing you have to do is a graph where you signal the cardinal points (1st image)

Then draw the first line that the problem gives you (N64°W). At the end of this line, you will draw the following line (S23°W) drawing another little graph as a guide. Finally, you will draw the last line, as long as a triangle is made (2nd image)

If you pay attention to the first line you made, you will notice that you can make a right triangle with angles of 90°, 64°, and 26° (3rd image)

So, returning to the other big triangle, you are going to add the 23° of the main orientation with the 26° that you just obtained from the first triangle (4th image)

Now you have a large triangle with one side that is worth 4, another that is worth 2, and an angle between them that is worth 49° (5th image)

From now on it's easier.

We know that if we have an angle between two know sides we can use Law of cosines (a²=b²+c²-2bcCosA)

So a² = 2² + 4² - 2(2*4)Cos49

a² = 4 + 16 - 2(8)Cos49

a² = 20 - 16Cos49

Cos49 = 0.65605902899

16 * 0.65605902899 = 10.4969444638

20 - 10.4969444638 = 9.50305554

a² = 9.50305554

a = \(\sqrt{9.50305554}\) = 3.08270264

Hope I helped you and sorry for the bad quality of the photos

The height of the coffee cup is approximately 4.1 cm.

Equations

h = V / (π\(r^{2}\))

Plugging in the given values, we get:

h = 174 / (π × \(2.7^{2}\))

h ≈ 4.1 cm

Therefore, the height of the coffee cup is approximately 4.1 cm.

The total surface area of a cylinder is the sum of the areas of its curved surface and its two circular bases, while the lateral surface area of a cylinder is the area of its curved surface only, without the bases.

To be more precise, if a cylinder has a height of "h", a radius of "r", and a base circumference of "c", then:

The total surface area of the cylinder is given by: 2πr² + 2πrh = 2πr(r+h) + 2πr² = 2πr(r+h+c)

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Answer:

Midpoint = (-2.5, -1.5)

Step-by-step explanation:

We can find the midpoint of the segment with the given endpoints using the following formula:

M = (x1 + x2) / 2, (y1 + y2) / 2. where

Thus, we can allow (3, 7) to be (x1, y1) and (-8, -10) TO BE (x2, y2):

M = (3 + (-8)) / 2, (7 + (-10)) / 2

M = (3 - 8) / 2, (7 - 10) / 2

M = (-5) / 2, (-3) / 2

M = (-2.5, -1.5)

Thus, the midpoint of the segment with the endpoints E(3, 7) and F(-8, -10) is (-2.5, -1.5).