please i need some help on this question

The value of λ that makes the vectors linearly dependent is -1/2.

The vectors are linearly dependent if and only if one is a scalar multiple of the other.

So we need to find the value(s) of λ such that:

v2 = k v1

where k is some scalar.

This gives us the system of equations:

6 = -3k

1 = 2-kλ

Solving the first equation for k, we get:

k = -2

Substituting into the second equation, we get:

1 = 2 + 2λ

Solving for λ, we get:

λ = -1/2

Therefore, the value of λ that makes the vectors linearly dependent is -1/2.

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Answer:

3160 ft ^2

Step-by-step explanation:

35x20 = 700

4x700 = 2800

20x9 = 180

180x2 = 360

2800+360 = 3160 ft^2

no need to use pi this is not a circle.

Answer:4

Step-by-step explanation: y=mx+b is the slope intercept form of an equation. m is the slope and b is the y-intercept. just substitute 4 for m and 2 for b and get the original equation y = 4x + 2. since 4 is m, then 4 is the slope.

Answer:

y= 4(x-5) 2

Step-by-step explanation:

It seems counterintuitive, but to shift a parabola, you have to subtract five from x. To shift to the left, you would simply add five to x instead of subtract.

The sum of angles in a parallelogram adds up to 360 degrees

The values of x and y are 25 and 15, respectively.

The angles are given as:

\(\mathbf{\angle 1 = 4x + 13}\)

\(\mathbf{\angle 2 = 4y + 7}\)

\(\mathbf{\angle 3 = 3x - 8}\)

\(\mathbf{\angle 4= 5x - 12}\)

The opposite angles of a parallelogram are equal.

So, we have:

\(\mathbf{4x + 13 = 5x - 12}\)

Collect like terms

\(\mathbf{5x - 4x = 13 + 12}\)

\(\mathbf{x = 25}\)

Simiarly, we have:

\(\mathbf{4y + 7 = 3x -8}\)

Substitute 25 for x

\(\mathbf{4y + 7 = 3 \times 25 -8}\)

\(\mathbf{4y + 7 = 75 -8}\)

\(\mathbf{4y + 7 = 67}\)

Subtract 7 to both sides

\(\mathbf{4y = 60}\)

Divide both sides by 4

\(\mathbf{y = 15}\)

Hence, the values of x and y are 25 and 15, respectively.

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Answer:  \(\dfrac{39}{89}\)

Step-by-step explanation:

Given: In triangle WXY,

∠Y = 90°, XW = 89 units, WY = 80 units and YX = 39 units.

According to trigonometry ,

Cosine of A \(=\dfrac{\text{side adjacent to A}}{\text{hypotenuse}}\)

From the figure below,

\(\text{cosine of } \angle X=\dfrac{YX}{WX}\\\\=\dfrac{39}{89}\)

Hence, required ratio = \(\dfrac{39}{89}\)

Answer:

15.585 is the radius of the cone

If Alex sells 30 bracelets in the first month and increases her sales by 6 bracelets each month, she will sell a total of 360 bracelets in the first 12 months.

To determine the total number of bracelets Alex will sell in the first 12 months, we can use a simple arithmetic progression. Alex sells 30 bracelets in the first month, and her goal is to sell 6 more bracelets each subsequent month. This means that in the second month, she will sell 30 + 6 = 36 bracelets. In the third month, she will sell 36 + 6 = 42 bracelets, and so on.

We can observe that the number of bracelets sold forms an arithmetic sequence with a common difference of 6. To find the total number of bracelets sold in the first 12 months, we can sum the terms of this arithmetic sequence. Using the formula for the sum of an arithmetic series, which is Sn = (n/2)(2a + (n-1)d), where a is the first term, d is the common difference, and n is the number of terms, we can calculate the total number of bracelets sold.

In this case, a = 30 (the first term), d = 6 (the common difference), and n = 12 (the number of terms). Substituting these values into the formula, we get Sn = (12/2)(2(30) + (12-1)(6)) = 6(60 + 11*6) = 360.

Therefore, Alex will sell a total of 360 bracelets in the first 12 months if she meets her goal of selling 6 more bracelets each month than the previous month.

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To determine how many yards the snail will have moved in one hour, we'll need to convert the speed from feet per minute to yards per hour. Here are the steps:

1. Convert the speed from feet per minute to feet per hour:
2.5 feet/minute * 60 minutes/hour = 150 feet/hour

2. Convert the speed from feet per hour to yards per hour:
150 feet/hour * (1 yard/3 feet) = 50 yards/hour

3. Since the question asks for the distance in one hour, we can now find the distance the snail traveled in one hour:
50 yards/hour * 1 hour = 50 yards

The snail has moved a total of 50 yards.
Your answer: 50 yards.

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Vertical angles are always equal and congruent.

The information is incomplete. An overview will be given. It should be noted that vertical angles simply means the angles that are opposite each other when two lines cross.

Vertical angles are always equal and congruent. When two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.

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Answer:

SOH-CAH-TOA

\(h = \sqrt{ 9^{2} +5^{2} }\)

~~~~~~~~~~

H= \(\sqrt{106}\)

O= 5

A= 9

~~~~~~~~~~~~~~~~

Sin = \(\frac{5}{\sqrt{106 } }\)

Cos= \(\frac{9}{\sqrt{106 } }\)

Tan = \(\frac{5}{9 }\)

Step-by-step explanation:

Step-by-step explanation:

a. increased b. discreased c. increased d. decreased

a. The exact value of sin^(-1)(-1/2) is -π/6 or -30 degrees. b. The exact value of csc(csc^(-1)(1/2)) is 2.

a. To evaluate sin^(-1)(-1/2), we are looking for an angle whose sine is equal to -1/2. The reference angle associated with -1/2 is π/6 or 30 degrees. Since the sine function is negative in the third and fourth quadrants, the solutions can be -π/6 or -30 degrees. Therefore, the exact value of sin^(-1)(-1/2) is -π/6 or -30 degrees.

b. To evaluate csc(csc^(-1)(1/2)), we start with csc^(-1)(1/2). The csc^(-1) function represents the inverse cosecant function, which gives the angle whose cosecant is equal to the given value. The cosecant of 1/2 is 2. So, csc^(-1)(1/2) equals the angle whose cosecant is 2. The reciprocal of the cosecant function is the cosecant function itself, so csc(csc^(-1)(1/2)) simplifies to csc(2). The cosecant of 2 is 1/sin(2). Therefore, the exact value of csc(csc^(-1)(1/2)) is 1/sin(2), which cannot be further simplified.

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Sara works 46 hours per week

9 hours are overtime and 37 hours are regular time

pay rate at time and a half: 10.20∗1.5=15.30

regular hours plus overtime pay

37∗10.20=377.40

9∗15.30=137.70

Income due to tips

Total hours worked∗60per hour∗20%

46∗60∗.20=552

Weekly Income=Hourly income + tips

Weekly Income=377.40+137.70+552.00

Weekly Income=1067.10

Annual income=Weekly income∗52

Annual income=55489.20

Answer:

Think proportion and ratio.

The ball bounced twice and travelled 12ft.

The first bounce is twice the distance of the second bounce so the second bounce must be equal to two of the first.

2:1 of a total 12.

You now have three parts 12/3 =4

The first bounce is 2 times this amount which is 8 ft the second bounce was 4 ft as it was only one part.

Answer:

7083 KM/H

Step-by-step explanation:

17000 / 2.4 = 7083 (Plus some decimals, but rounded up its 7083.)

Answer:

initial value = 3  

 multiplier =4  

     # after 14 days = 3 * 4^(14-1)

        201 326592 beeltes      

Step-by-step explanation:

14 days     day 1 = 3 beetles

start with 3     quadruple it  = 12

3 *4   on day 2

3 *4 *4    on day 3

.

.

.

3 * 4^(14-1)     = beetles on day 14   = a lot of beetles = 201 326 592   !

Answer:

\(\frac{x}{x+2} - \frac{4}{x-2}=1\\or, \frac{x(x-2)}{(x+2)(x-2)} -\frac{4(x+2)}{(x+2)(x-2)}=1\\or, \frac{x^2-2x}{x^2-4} -\frac{(4x+8)}{x^2-4} =1\\or, \frac{x^2-2x-(4x+8)}{x^2-4} =1\\or, \frac{x^2-2x-4x-8}{x^2-4}=1\\or, {x^2-6x-8} =x^2-4\\or, -6x-8=-4\\or, 3x+4=2\\or, 3x = -2\\or, x =\frac{-2}{3}\)

Arlene buys a phone case and charging cord for 15% off

Discount on case and cord = 15%

Original cost of case = $18

Total discount amount = $4.20

Let the original cost of charging cord = x

So, Arlene buys a phone case and charging cord for 15% off = 15% of cost of cord and case

15% of cord and case = 15% of (x + 18)

as the discount amonut ins $18

15% of cord and case = 15% of (x + 18)

15% of cord and case = 4.20

15% of (x + 18) = 4.20

So, the expression is : 15(x + 18) = 420

Simplify the expression for x :

15(x + 18) = 420

15x + 270 = 420

15x = 420 - 270

15x = 150

x = 150/15

x = 10

So, the cost of charging cord is $10

Answer : equation : 15(x + 18) = 420

$10

The tax percentage on a marked-down baseball bat is 1.6%.

From the information Illustrated, the baseball bat that Carl wants to buy is markdown $15 from its regular price of $60.

In this case, the new price will be:

= $60 - $15

= $45

Since the tax on a marked-down baseball is $0.72, the percentage of the tax will be:

= 0.72 / 45 × 100.

= 1.6%

The tax percentage is 1.6%.

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Answer:

D

Step-by-step explanation:

-8,215 in decimal form.  1101 0010 0011 0111 is a signed binary representation of -8,215 in decimal form.

The binary number 1101 0010 0011 0111 is a signed binary representation of -8,215 in decimal form. To convert this number to decimal, the first bit is the sign bit. This bit is 1, indicating that the number is negative. The remaining 14 bits represent the magnitude of the number. To convert to decimal, each bit is multiplied by two to the corresponding power of two, beginning with the least significant bit. The least significant bit is 2^0 or 1. The next bit is 2^1 or 2 and so on. The value of the number can then be determined by adding the values of each bit together. 1101 0010 0011 0111 = -1 + 2 + 8 + 16 + 32 + 64 + 512 + 1024 + 4096 = -8,215.

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Using the SSA method, the maximum number of triangles that can be generate is 1.

In the given question,

In SSA case for an obtuse angle, we have to find the maximum number of triangles that can be generate with the given information.

As we know that,

There cannot be a second obtuse angle if the specified first angle is already obtuse since the triangle's angle total would be greater than 180°. As a result, there is only one way to construct the triangle, making SSA a valid congruence theorem when the supplied angle is acute.

So the maximum number of triangles that can be generate is 1.

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The equation of a line in the form y is y = 150 - 85x.

This equation can be used to determine the amount of money in the grocery account at any given week, x. To solve, we will use the information given in the question.

We know that the initial amount in the account is $150. This is the y-intercept of the line. Therefore, 150 = 150 - 85x. Solving this equation for x, we get x = 0. This means that at week 0 the account has a balance of $150.

Next, we know that money is withdrawn from the account every week. We can use this information to solve for the slope of the line. We know that every week $85 is withdrawn from the account, so the slope of the line is -85. Therefore, the equation of the line is y = 150 - 85x.

Using this equation, we can determine the amount in the account at any given week. For example, at week 5, y = 150 - 85(5) = $25. This means that the account has a balance of $25 at week 5.

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Using the formula of volume of rectangular prism;

1. The volume of the rectangular prism is 3672cm³

2. The volume of the rectangular prism is 630in³

3. The volume of the rectangular prism is  3744ft³

The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:

Volume = length × width × height

V = l × w × h

By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.

1. To find the volume of the rectangular prism, we have to substitute the value into the formula;

v = 9 * 24 * 17

v = 3672cm³

2. The volume of the rectangular prism is given as;

v = 4.5 * 14 * 10

v = 630in³

3. The volume of the rectangular prism is given as;

v = 8 * 12 * 39

v = 3744ft³

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The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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The volume of the rectangular prism is 16/5 m³.

The volume of a prism is the measure of how much space it occupies and is given by multiplying the area of the base by the height of the prism. So, the formula for the volume of a rectangular prism is:

            Volume = Base Area x Height

Where Base Area is the area of the base of the prism and Height is the height of the prism.

Here we have

A rectangular prism has a height of 2/3 m

The square base with an area of 4 4/5 m² = 24/5 m²

To find the volume of the rectangular prism, we need to multiply its base area by its height.

So, the volume of the prism can be calculated as:

Volume = Base area x Height

= (24/5) m² x (2/3) m

= (24/5) x (2/3) m³

= 48/15 m³

= 16/5 m³

Therefore,

The volume of the rectangular prism is 16/5 m³.

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Complete Question
A rectangular prism has a height of 2/3 m and a square base with an area of 4 4/5 m². What is the volume of the prism?

Answer:

Ax+By=C

Step-by-step explanation:

:)

Answer:

- 2

Step-by-step explanation:

It helps when u make a table using the points given

x         y

1          6

3         2

from 6 to 2 you need to subtract 4

from 1 to 3 you need to add 2

now its y/x

4/2 = 2

Since the line is going down that means your slope is negative so...

-2 will be your slope

Hope this helped!

Answer:

The slope is -2.

Step-by-step explanation:

There are two ways to solve this problem.

1st way is by looking at the graph:

*Identify what the rise over run is. In this case, it woult be 2 over 1 which if you divide 2÷1, it would be 2.

*Then, if the graph is going down, the slope is negative, and if the graph is going up, the slope is positive. If it's vertical, the slope is undefined, and if it's horizontal, the slope is zero. Since, it's going down, your slope would be negative.

2nd way is by subtracting y2 - y1 and x2 - x1:

(The order doesn't matter as long as you are subtracting correctly)

* First, 6 minus 2 is 4, and 1 minus 3 is  -2. After, divide 4 by -2, and you'll end up with -2.

* Or you can do it the other way round. First, 2 minus 6 is -4, and 3 minus 1 is 2. After, divide -4 by 2, and you'll end up with -2

The given statement "if set of difference scores with df = 8 has a mean of md = 3.5 then sample will produce repeated-measures t statistic of t = 1.75." is false because  it is not possible to determine t statistic.

In a repeated-measures t-test, the t statistic is calculated using the sample mean difference, the standard deviation of the sample mean difference, and the sample size. The formula for calculating the t statistic in a repeated-measures t-test is:

t = (md - μd) / (s / √n)

where md is the mean of the difference scores, μd is the population mean of the difference scores (typically assumed to be zero), s is the standard deviation of the difference scores, and n is the sample size.

In the given statement, we are provided with the mean of the difference scores (md = 3.5) and the variance (s² = 36), but we do not have the sample size (n). Therefore, we cannot calculate the t statistic using the given information.

Hence, it is not possible to determine whether the sample will produce a repeated-measures t statistic of t = 1.75 based on the provided information.

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Answer:

its either 1 or 0 this was last year for me but

Step-by-step explanation:

it could be one because the x column is going up by one but it could also be 0 because the y is constant

Answer:

0

Step-by-step explanation:

I'm pretty sure its 0 because the numbers in the y coordinate don't change

Answer:

h=84

Step-by-step explanation:

You need to set up two equations. The first will be math + history = 240, or m + h = 240. and than you have to h = m - 72 and after that you have to use the second equation to replace the "h" in the first equation: m + m - 72 = 240. and than do 2m - 72 = 240 and solve it. and add 72 to both sides 2m=312 than divide both sides by 2 which will be m = 156 which than you do 156+ h and that will give you 240. than subtract 156 from both sides and your Answer would be here=84.