I need the answer to A,B and C please if you can answer all of them the equation and everything is in the picture to look at the equation.

Answer:

Step-by-step explanation:

Vector v can be written as the sum of two vector components, \(v_x = -5i\)  and \(v_y = 6j\)

To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.

v = -5i + 6j

w = 3i + 4j

We can decompose vector v into two components, one along the x-axis and the other along the y-axis.

Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)

The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:

\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)

Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:

\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)

Now, we can write vector v as the sum of its components:

\(v = v_x + v_y = -5i + 6j\)

So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.

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Answer: each base angle in an isosceles right triangle measures 45 degrees.

Step-by-step explanation:

In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).

Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.

To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:

x + x + 90 = 180

Simplifying the equation:

2x + 90 = 180

Subtracting 90 from both sides:

2x = 90

Dividing both sides by 2:

x = 45

Answer:

41

Step-by-step explanation:

= B', c'= 41 units so B, C also equals 41 units.  

In conclusion, BC=41BC=41B, C, equals, 41 units.

Answer:

Step-by-step explanation:

Step-by-step explanation:

x = amount of shares for $6.25

y = account of shares for $6.50

x + y = 500

x×6.25 + y×6.5 = 3218.75

x = 500 - y

(500 - y)×6.25 + y×6.5 = 3218.75

3125 - y×6.25 + y×6.5 = 3218.75

0.25×y = 93.75

y = 375

x = 500 - 375 = 125

so, he bought

375 shares of $6.50

125 shares of $6.25

The diameter of  the boulder assuming a sphere. is 38m

Specific gravity is defined as density of a substance to the density of water

SG = density of boulder/ density of water

Since (at standard temperature and pressure) water has a density of 1

SG =  mass of boulder / volume of boulder

2.6 = 560 x 1000/ x

x = 56000/2.7

x = 20740.74

The volume of a sphere = 4/3 πr³ =

20740.74 = 4/3 (3.14) r³

r³ = 4953

r = 17.04

Diameter = 2r = 2x17.04 = 38.08

Therefore, the diameter of  the boulder assuming a sphere. is 38m

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Answer:

A' (2, 1)

B' (1, 2)

C' (3, 2)

Step-by-step explanation:

Scale factor = 0.5

A(⁴₂ ) → A'(\(\frac{1}{2} * 4\\\frac{1}{2} * 2\)) = (²₁ )  ∴ A'(2, 1)

B(²₄ ) → B'(\(\frac{1}{2} * 2\\\frac{1}{2} * 4\)) = (¹₂ ) ∴ B'(1, 2)

C(⁶₄ ) → C'(\(\frac{1}{2} * 6\\\frac{1}{2} * 4\)) = (³₂ ) ∴ C'(3, 2)

Answer:

2

Step-by-step explanation:

Rise over run.

The line goes up two and over one. So you get 2/1. Then you can just get rid of the denominator. 'Cause that's how fractions work. You can get rid and add 1 as a denominator.

Answer:

The slope is 2.

Step-by-step explanation:

Let me know if you need an explanation.

hope this helps and is right :)

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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The data set representing a function will be (1, -1), (2, -2), (3, 3), (4, -3), (5, 4), and (6, 5).

A function is an argument, concept, or principle that demonstrates a connection between two variables. Functions may be found throughout arithmetic and are necessary for the result of consequential linkages.

If the number of values of the variable 'y' is more than one for a given value of 'x', then it is not a function.

For a function, the number of values of 'y' should be one for each value of 'x'.

The value of abscissa is given as,

(1, -1), (2, -2), (3, 3), (4, -3), (5, 4), (6, 5)

The data set representing a function will be (1, -1), (2, -2), (3, 3), (4, -3), (5, 4), and (6, 5).

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The function that can represent the profit P(s) of the sneaker company is D. P(s) = – s2 + 60s – 1,500.

Mathematically, a function shows a set of inputs that produce one output.

Functions have the domain (independent variable) and the codomain or range (dependent variable).

The domain is always the set of input values, while the range is the output value of the function.

Revenue function R(s) = 90s – s2

Fixed cost = $1,500

Variable cost per unit = $30

Profit = Revenue - Variable and Fixed Costs

Profit function P(s) = 90s – s2 - 30s - 1,500

= 60s - s2 - 1,500

or -s2 + 60s - 1,500

Thus, the correct profit function is Option D.

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The fractional part vanishes when the argument is an integer; in this case, for

\(\left\{\dfrac1{1-xy}\right\} = 0 \iff \dfrac1{1-xy} = n \iff xy = \dfrac{n-1}n\)

which are hyperbolas in the \((x,y)\)-plane.

Observe that between neighboring hyperbolas, we have

\(\dfrac{n-1}n < xy < \dfrac n{n+1} \\\\ ~~~~ \implies \dfrac1{n+1} < 1-xy < \dfrac1n \\\\ ~~~~ \implies n < \dfrac1{1-xy} < n+1 \\\\ ~~~~ \implies \left\{\dfrac1{1-xy}\right\} = \dfrac1{1-xy} - \left\lfloor\dfrac1{1-xy}\right\rfloor = \dfrac1{1-xy} - n\)

Split up the integral over \([0,1)^2\) along the curves \(xy=\frac{n-1}n\). The subregions somewhat resemble the layers or scales of an onion (see attached plot with the first 5 "scales").

Let \(S_n\) denote the \(n\)-th (\(n\in\Bbb N\)) "scale", starting from the blue region closest to the origin and counting diagonally upward in the direction of (1, 1).

In Cartesian coordinates, the integral over \(n\)-th "scale" is

\(\displaystyle \iint_{S_n} x \left(\frac1{1-xy} - n\right) \, dy \, dx \\\\\\ ~~~~~~~~= \int_{(n-1)/n}^{n/(n+1)} \int_{(n-1)/(nx)}^1 x \left(\frac1{1-xy} - n\right) \, dy dx \\\\\\ ~~~~~~~~~~~~~ + \int_{n/(n+1)}^1 \int_{(n-1)/(nx)}^{n/((n+1)x)} x \left(\frac1{1-xy} - n\right) \, dx\)

(see attached plot of the 2nd "scale" for reference)

The integral is trivial, so I'll leave it to you to confirm that it drastically reduces to

\(\displaystyle \iint_{S_n} x \left(\frac1{1-xy} - n\right) \, dy \, dx = \frac1{2n (n+1)^2} = \frac12 \left(\frac1n - \frac1{n+1} - \frac1{(n+1)^2}\right)\)

Now we recover the original integral by summing over \(\Bbb N\).

\(\displaystyle \int_0^1 \int_0^1 x \left\{\frac1{1-xy}\right\} \, dy \, dx = \frac12 \sum_{n=1}^\infty \left(\frac1n - \frac1{n+1} - \frac1{(n+1)^2}\right) \\\\ ~~~~~~~~ = \frac12 \left(\left(1-\frac12\right)+\left(\frac12-\frac13\right)+\left(\frac13-\frac14\right)+\cdots\right) - \frac12 \sum_{n=2}^\infty \frac1{n^2} \\\\ ~~~~~~~~ = \frac12 - \frac12 \left(\sum_{n=1}^\infty \frac1{n^2} - 1\right) \\\\ ~~~~~~~~ = \frac12 - \frac12 \left(\frac{\pi^2}6 - 1\right) = \boxed{1 - \frac{\pi^2}{12}}\)

The algebraic expression which correctly represents the word phrase and it's solution are respectively; 29 equals 11.5 plus m over 2.5; m = 43.75.

It follows from the task content that the algebraic expression of which represents the word phrase is to be determined.

First, the quotient of a number, m and 2.5 can be represented algebraically as; m/2.5.

Therefore, since; Twenty-nine equals the sum of 11.5 and the quotient of a number and 2.5, we have;

29 = 11.5 + (m/2.5)

The solution is therefore as follows;

29 -11.5 = (m/2.5)

17.5 = (m/2.5)

m = 2.5 × 17.5

m = 43.75.

Therefore, the correct answer choice is; 29 equals 11.5 plus m over 2.5; m = 43.75.

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The members of the given set in this problem are given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

The union and intersection sets of multiple sets are defined as follows:

The intersection of the sets Y and Z for this problem is given as follows:

Y ∩ Z = {0, 6, 23, 26}

(which are the elements that belong to both of the sets).

The union of the above set with the set X is given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

(elements that belong to at least one of the sets).

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Answer:

C

Step-by-step explanation:

c because it is only online period

Answers:

==========================================

Explanation:

-16/99

I believe this is correct, please mark brainliest! Have an amazing day and stay safe!

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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The probability that Jessica picks a yellow pencil is 80%.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.

Now,

The probability of picking a yellow pencil =  the number of yellow pencils / total number of pencils:

Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils

In this case, there are 8 yellow pencils out of a total of 10 pencils:

Probability of picking a yellow pencil = 8 / 10

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

Probability of picking a yellow pencil = 4 / 5

Probability of picking a yellow pencil = 4 / 5 x 100%

Probability of picking a yellow pencil = 80%

Therefore, the probability that Jessica picks a yellow pencil is 80%.

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Work done lifting the bucket and rope to the top of the building is 4005.75 Joules

To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd. If the force is being exerted at an angle θ to the displacement, the work done is W = fd cos θ.

Initially bucket hold = 25kg. Sand

Sand leaks 0.1 kgs each meter it is lifted

At height x meter bucket hold = (25 - 0.1x) kg of sand

Length of rope = 15 meter

density of rope = 0.4kg / meter

weight of rope = 15 (0.4) = 6kg.

At height x meter, weight of rope = (6 - 0.4x)

Total weight at height x meter = (25-0.1x) + (6-0.4x)

                                                   = (31 - 0.5x) kg

force = (31-0.5x) g Newtons. = [(31-0.5x) 9.8] Newton

Work = force × displacement

\(Work= \int_{0}^{15}9.8(31-0.5x)dx\)

          \(=9.8[31x-0.5 \frac{x^2}{2} ]_{0}^{15}\)

          \(=9.8[31(15)-0.25(15)^2]-0\)

          \(=4005.75 joules\)

Hence, work done 4005.75 Joules

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Answer:

add all divide by 3

Step-by-step explanation:

Answer:

Attached is the box plot

Step-by-step explanation:

20, 21, 22, 22, 25, 25, 26, 27, 30, 31, 31, 31, 32, 32, 35

Minimum: 20

\(Q_1\): 22

Median or \(Q_2\): 27

\(Q_3\): 31

Maximum: 35

Hope this helps!

Answer:

Minimum = 20
First quartile = 22
Median = 27
Third quartile = 31
Maximum = 35

Step-by-step explanation:

Given the following question:

35, 22, 30, 31, 27, 20, 32, 21, 32, 22, 31, 25, 26, 31, 25

In order to find the five-number summary of the given data set we have to find five separate numbers.

Five-number summary consists of...

1. The minimum
2. The first quartile
3. The median
4. The third quartile
5. The maximum

Which means there will be five different answers for this data set:

Minimum:
To find the minimum we find the smallest value in our data set.
35, 22, 30, 31, 27, 20, 32, 21, 32, 22, 31, 25, 26, 31, 25

Minimum is equal to 20

First quartile/Third quartile:
By splitting the data set in four different groups and rearranging the numbers from least to greatest we can find he first/third quartile.

Q1 = 22
Q3 = 31

Median:
By rearranging the number from least to greatest and spliting the number in two groups. The middle value of the data set will also be the median.

35, 22, 30, 31, 27, 20, 32, 21, 32, 22, 31, 25, 26, 31, 25
20, 21, 22, 22, 25, 25, 26, 27, 30, 31, 31, 31, 32, 32, 35

Median is 27

Maximum:
The maximum is simply the largest number in the data set.
20, 21, 22, 22, 25, 25, 26, 27, 30, 31, 31, 31, 32, 32, 35

The maximum is 35.

Hope this helps.

Domain is the x values and range is the y values.

Domain: (-5,-4, 0,1,3,4)

Range: ( 0,1,2,3,5)

y^4 + a^4 + q^2 + y^2 + 4

The vector v+w has a magnitude of 2√2 and its direction is along the positive x-axis.

What is meant by vector?

A vector is a quantity that has both magnitude and direction. It is represented as an arrow with its length representing the magnitude and its direction representing the direction of the quantity.

What is meant by the x-axis?

The x-axis is the horizontal line on a coordinate plane that is used as a reference for plotting and describing the positions of points in two-dimensional space. It is often referred to as the "horizontal axis" or the "abscissa".

According to the given information

Here the vector v has a magnitude of 2 and a direction of 45° so the components of vector v are:

v_x = 2 cos 45° = √2

v_y = 2 sin 45° = √2

Vector w has a magnitude of 2 and a direction of 45° South of East. This means that the angle between vector w and the positive x-axis is 45°, and the angle between vector w and the negative y-axis is 45°. Therefore, the components of vector w are:

w_x = 2 cos 45° = √2

w_y = -2 sin 45° = -√2

Now we can add the components of vectors v and w to find the components of the vector v+w:

(v+w)_x = v_x + w_x = √2 + √2 = 2√2

(v+w)_y = v_y + w_y = √2 - √2 = 0

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Answer: I don’t know much but I still know some! If you ever need help reply to this comment please

Step-by-step explanation:

Answer:

takes 3 minutes

Step-by-step explanation: