The figure shows two kayakers pulling a raft. One kayaker pulls with a force vector F sub 1 equals open angled bracket 180 comma 160 close angled bracket comma and the other kayaker pulls with a force vector F sub 2 equals open angled bracket 123 comma negative 128 close angled bracket period two vectors F sub 1 and F sub 2 that share an initial point located on a raft, F sub 1 points right and up where its terminal point is at a kayak, F sub 2 points left and down where its terminal point is at another kayak What is the angle between the kayakers? Round your answer to the nearest degree.

Answer:

1

Step-by-step explanation:

(195 - 85)/2 = 54x+1 -->

110/2 = 54x + 1 -->

55 = 54x + 1 -->

54 = 54x -->

1 = x

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

  m = (-2 -(-6))/(3 -1) = 4/2 = 2

The slope of the line is 2.

9514 1404 393

Answer:

  152

Step-by-step explanation:

The third one is their average, so is 740/5 = 148. The largest is 4 more than that, so ...

  the largest value of the group is 152

_____

The numbers are 144, 146, 148, 150, 152.

The largest number when sum of five consecutive even integers is 740 is 152.

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Example: 1,2,3,4,5,6

                1,3,5,7,9,11

                 2,4,6,8,10,12

Difference between nearer numbers always equal

Given,

There are 5 consecutive even integers.

Then difference between each nearer number is 2

Let the first number be x

Then another 4 numbers be

(x + 2), (x + 4), (x + 6), (x + 8)

Now

According to question

(x + x + 2 + x + 4 + x + 6 + x + 8) = 740

5x = 740 - 20

x = 144

And the highest number is x + 8 = 152

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Answer:

the answer is 6

Step-by-step explanation:

the answer is 6

Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.

To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:

I = P * r * t

Where:

I = Interest earned

P = Principal (initial investment)

r = Interest rate per year (expressed as a decimal)

t = Time (in years)

Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:

4850 * 0.076 * t = 8000

Simplifying the equation:

369.8t = 8000

To find t, we divide both sides of the equation by 369.8:

t ≈ 8000 / 369.8 ≈ 21.62 years

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The number of sections of board that he can construct will be equal to 7.

We are given that:

A carpenter has 6 boards.

Length of each board = 7 / 8 yard long

Now, we will use multiplication.

Total length of cardboards available = 7 / 8 × 6 yards

Total length = 42 / 8 yards

Total length = 21 / 4 yards.

Now, 3/4 yard sections of board that he can construct will be:

Number of sections of board = 21 / 4 ÷ 3 / 4

Number of sections of board = 21 / 3

Number of sections of board = 7

Therefore, the number of sections of board that he can construct will be equal to 7.

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Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.

To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.

Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.

Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

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Answer:

the x coordinate is 1 and the y coordinite is 5

This is a word problem and the value of the unknown number is equal to 1⅓.

Word problems are mathematical problems which involves the use of ordinary words, instead of mathematical symbols.

Let us represent the unknown number with the letter x so that we derive the equation;

8 - 4x = 2x

we add 4x from both sides of the equation

8 - 4x + 4x = 2x + 4x

8 = 6x

divide through by the coefficient of x which is 6

6x/6 = 8/6

x = 4/3

x = 1⅓

Therefore, the value of the unknown number for the word problem is equal to 1⅓

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Answer:

A, B, and E

Step-by-step explanation:

Answer:

abe

Step-by-step explanation:

Answer:

Ughhhhhhhhh harder daddy

Step-by-step explanation:

First you let him put the penis in the hole

The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

Step-by-step explanation:

y - 3 = -5(x + 4)

y - 3 = -5x - 20

y = -5x - 17

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

The value angle T is 42 degree and XY = 13 ft since △RST is congruent with △XYZ.

What is meaning of congruent?

If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical.

Given that △RST is congruent with △XYZ.

angle T = (2x +10) degree

angle Z = (3x - 6) degree

RS = 5y + 3 ft

XY = y + 11 ft

The corresponding angles and sides of △RST and △XYZ are equal.

Thus, angle T = angle Z and XY = RS .

Putting the value of angle T and angle Z in angle T = angle Z:

2x + 10 = 3x - 6

x = 16

The value of angle T is  (2×16 +10) degree = 42 degree

Putting the value of XY  and RS:

5y + 3 = y + 11

4y = 8

y = 2.

The value of XY is 2 + 11 = 13 ft.

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Question

Given that △RST congruent △XYZ

1. What is angle T?

2. What is XY?

Answer:

where is the pictures??

Answer:

Decrease

Step-by-step explanation:

To ensure that there is an equal number of glass bears in each group, Mrs. Dryson constructed a total of 17 groups, which can be calculated using arithmetic operations.

What is arithmetic operations?

The study and application of numbers in all other fields of mathematics are covered in the area of mathematics known as arithmetic operations. Addition, subtraction, multiplication, and division are included in the basic operations.

As given in the question,

Mrs. Dryson divided her collection of 52 glass bears into equal groups and She had one bear left over

The steps listed below can be used to calculate the total amount of Mrs. Dryson's products:

Step 1: Arithmetic operations can be utilized to calculate Mrs. Dryson's overall output.

Step 2: Keep in mind that there are 52 glass bears in all, and after separating them into equal groups, she was left with just one bear.

Step 3 - The total bear population to divide into groups of an equal number is calculated as follows:

= 52 - 1 = 51

Step 4: The number that is divided by 51 such that the result is an integer is 3.

Step 5 - As a result, Mrs. Dryson created a total of the following groups:

= 51/3 = 17.

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The required answers are,

The greatest number of binders Eula can buy is 5.

The greatest number of notebooks Eula can buy is 10.

If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

4x + 2y ≤ 20

here x is the number of binders and y is number of notebooks.

Cost of 1 binder = $4

Cost of 1 notebook = $2

Now for maximum number of binders put y = 0 in the given inequality we get,

4x + 2*0 ≤ 20

Solving we get,

4x  ≤ 20

Dividing both the side by 4 we get,

x ≤ 5

Thus, Eula is permitted to acquire 5 binders in the absence of notebook purchases.

Now for maximum number of notebooks,

Putting x = 0 in the given inequality we get,

4*0 + 2y ≤ 20

Solving we get,

2y  ≤ 20

Dividing both the side by 2 we get,

y ≤ 10

Thus, Eula is permitted to purchase 10 notebooks if no binders are purchased.

Now if Eula buys 7 notebooks, putting y = 7 in the given inequality we get,

4x + 2*7 ≤ 20

Solving we get,

4x + 14 ≤ 20

Subtracting both the side by 14 we get,

4x ≤ 6

Dividing both the side by 4 we get,

x ≤ 3/2

⇒ x ≤ 1.5 ≈ 2

Thus, If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

Hence,If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

Thus, the required answers are,

The greatest number of binders Eula can buy is 5.

The greatest number of notebooks Eula can buy is 10.

If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

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Answer: 1) 5      2)10    3) 1

Step-by-step explanation:

on edge its correct

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

4

Step-by-step explanation:

Substitute by 0 in the function

Step-by-step explanation:

p(x) = 3x + 4

p(0) = 3(0) +

p(0) = 0 + 4 => 4 Ans.

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

Z = 22.5, Y = 81, X = 26.7

Step-by-step explanation:

Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.

\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)

The population of the country will be 796 million approximately in the year 2022.

To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:

\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)

Divide both sides by 433.4:

\(e^{(0.032t)} = 1.836\)

Take the natural logarithm of both sides:

\(ln(e^{(0.032t)}) = ln(1.836)\)

0.032t = 0.605

Divide both sides by 0.032:

t = 18.91

Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:

2003 + 19 = 2022

Therefore, the population of the country will be 796 million approximately in the year 2022.

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