can someone help me with this?

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

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Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

The number of hours that are there in Jupiter is 9 hours.

The kilograms that a person weigh on the moon is 9kg.

It is important to note that there are 24 hours in a day. Therefore, when Jupiter day is about 3/8 of an earth day. The number of hours will be:

= 3/8 × 24

= 9 hours

Also, a person weight is about 1/6 of their weight on Earth. The kilograms that a person weigh on the moon if their weight on earth is 54kg will be:

1/6 × 54

= 9kg

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Answer:

26

Step-by-step explanation:

-13+13=0

0+13=13

13+13=26

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Answer:

B.  and E.

Step-by-step explanation:

hope it helps ;)

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

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 \(\boldsymbol{4}\) employees were hired by the company.

Amount of total budget \(=\$1,900\)

Amount paid to an employee per hour \(=\$11\)

Number of hours for which an employee worked per week \(=40\)

So,

Total amount paid to an employee \(=11\times 40\)

                                                          \(=\$440\)

Number of employees hired \(=4.3\)

                                               \(\approx 4\)

So, \(\boldsymbol{4}\) employees were hired by the company.

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Ignoring overhead, you can hire 4 employees.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

You have a budget of $1,900 per week for employees.

Employees are paid $11 per hour and work 40 hours per week.

That means,

11 x 40 = $440 per week.

The number of employees = 1900/440

= 4.3

≈ 4

Therefore, 4 number of employees.

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Answer:

i think the answer is -13

Step-by-step explanation:

b-6= -7-6

=-13

your correct answer is 13

I am sure it's correct... just go for it

Since ΔABC and ΔACD are similar triangles, therefore the length of AC is 18 m.

Similar triangles are triangles with corresponding sides that have the same ratio.

Thus:

AD is parallel to BC (bases of a trapezoid are parallel)

Therefore:

∠ACB = ∠CAD (alternate interior angles)

This implies that, ΔABC ~ ΔACD by AA similarity theorem.

Thus:

AC/DA = CB/AC

Substitute

AC² = 12 × 27

AC = √324

AC = 18 m

Therefore, since ΔABC and ΔACD are similar triangles, therefore the length of AC is 18 m.

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Answer:

0,-6

Step-by-step explanation:

The area under the curve between two values on the x-axis represents the probability that the random variable falls within that range, with the total area under the curve being equal to 1.

In the graph, the PDF is represented by the smooth curve. The highest point on the curve corresponds to the most likely value of the random variable. In this case, the most likely value appears to be around x = 2.5.

The area under the curve between any two values on the x-axis represents the probability that the random variable falls within that range. For example, the probability that the random variable falls between x = 1 and x = 3 is equal to the area under the curve between those two values.

It's important to note that the probability density function must satisfy the following two conditions:

The total area under the curve must be equal to 1.

The probability of the random variable taking on any specific value is equal to zero, since the function only describes the likelihood of the variable taking on a range of values.

PDFs are often used in statistics to describe continuous distributions, such as the normal distribution, and to make statistical inferences about populations based on samples.

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The best method for solving a system of linear equations is the substitution method.

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

We have been given the system of the equations as;

y = -2x + 2

y = 4x + -4

Thus, y = -2 x + 2 ........ equation number 1

y = 4 x - 4.............. equation number 2

Then substitute equation number 2 in equation number 1

4 x - 4 = -2 x + 2

4 x + 2 x = 2 +4

6 x = 6

so, x = 1

Now substitute x= 1 in equation number 2;

Therefore y =( 4 × 1) - 4

             y = 4 - 4 = 0

For x = 1 and y = 0

Hence, the best method for solving a system of linear equations is the substitution method.

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The complete question is;

which best describes your ability to determine the best method for solving a system of linear equations. Then solve the system.

y = -2x + 2

y = 4x + -4

Answer: 20

Step-by-step explanation:

The range of the possible length of the third side is between 10 and 22

From the question, we have the following parameters that can be used in our computation:

Lengths = 6 and 16

The possible length of the third side can be calculated using the triangle inequality theorem

For this triangle, the length of the third side must be greater than

16 - 6 = 10

Also, the length of the third side must be less than

16 + 6 = 22

Hence, the possible length of the third sides is between 10 and 22

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Answer:

Mr. Abyad used a total of 10 3/12 square feet of material

Step-by-step explanation:

To solve this problem, we need to add the amounts of material that Mr. Abyad used for each of the bulletin boards.

The first bulletin board used 3 2/3 square feet of material, which is equal to 3 + 2/3 square feet.

The second bulletin board used 6 3/4 square feet of material, which is equal to 6 + 3/4 square feet.

The third bulletin board used 4 1/3 square feet of material, which is equal to 4 + 1/3 square feet.

To find the total amount of material that Mr. Abyad used, we need to add these three quantities:

3 + 2/3 + 6 + 3/4 + 4 + 1/3 = 13 + 9/12 + 5/4 = 13 + 5/4 + 9/12

We can't add these fractions directly, so we need to find a common denominator. The least common multiple of 3, 4, and 12 is 12, so we can use that as the common denominator.

We can rewrite 13 + 5/4 as 13 + 5/4 * 3/3, which is equal to 13 + 15/12.

We can rewrite 9/12 as 9/12 * 4/4, which is equal to 3/3.

Adding these quantities gives us:

13 + 15/12 + 3/3 = 13 + 15/12 + 12/12 = 13 + 15 + 12/12 = 28/12 + 12/12 = 40/12 = 10 3/12

Therefore, Mr. Abyad used a total of 10 3/12 square feet of material.

Answer:

Music place has a better buy

Step-by-step explanation:

CD express

60 dollars / 4 cds = 15 dollars per cd

Music places

75 dollars / 6 cds = 12.50 per cd

Answer:

i need the graph

Step-by-step explanation:

.

The value of sin 75 without using a calculator is 1/4(√2 +√6)

From the question, we have the following parameters that can be used in our computation:

sin(75)

This can be expanded as

sin(75) = sin(45 + 30)

Using the sine rule, we have

sin(75) = sin(45)sin(30) + cos(45)cos(30)

Evaluate the trigonometry ratios

So, we have

sin(75) = √2/2 * 1/2 + √2/2 * √3/2

So, we have

sin(75) = √2/4 + √6/4

Evaluate the sum

sin(75) = 1/4(√2 +√6)

Hence, the value is sin(75) = 1/4(√2 +√6)

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Answer:

The graph of a linear inequality in one variable is a number line. Use an open circle for < and > and a closed circle for ≤ and ≥. Inequalities that have the same solution are called equivalent.

Answer:

  BD = 19

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so we have ...

  BD/GF = BC/GE

  (2x -7)/57 = (x +4)/51 . . . . use the values marked on the diagram

  17(2x -7) = 19(x +4) . . . . . . . . multiply by 969

  34x -119 = 19x +76 . . . . . eliminate parentheses

  15x = 195 . . . . . . . . . add 119-19x

  x = 13 . . . . . . . . . . divide by 15

  BD = 2(13) -7 . . . . use the found value of x in the expression for BD

  BD = 19

The number of gallons must be a whole number will be 114 gallons.

Let d be the diameter of the circle. Then the area of the circle will be

A = (π/4) d² square units

At the recreation area, there is a pool molded like a circle with a measurement of 24 yds. A ring-molded way circumvents the pool. Its width is 6 yds.

The area of the path will be given as,

A = (π/4) (24 + 6 + 6)² - (π/4) (24)²

A = (π/4) [36² - 24²]

A = (π/4) [720]

A = 565.5 square yards

We will give another layer of covering to the way. On the off chance that one gallon of covering can cover 5 yd². Then the number of gallons of coating is given as,

⇒ (565.5) / 5

⇒ 113.097

⇒ 114 gallons

The number of gallons must be a whole number will be 114 gallons.

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Answer:

please check your question. I think there is not a 'k' letter after number 9

Area of a triangle is 88.37cm²

The area of a triangle is given by the formula:

\(Area = \frac{(base * height)}{2}\)

where "base" refers to the length of the base of the triangle, and "height" refers to the height of the triangle measured perpendicularly from the base to the highest point of the triangle.

As per figure we have to find out the area of triangle, first we have to find out the height of triangle,

by using sine rule:

Sin 67° = \(\frac{height}{12 cm}\)

height = 12 Sin 67°       (Here, Sin 67° = 0.92)

height = 12 × 0.92

height = 11.046cm

\(Area = \frac{(base * height)}{2}\)

\(Area = \frac{(16 X 11.046)}{2}\)

\(Area = 88.37cm^{2}\)

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Answer:25.45

Step-by-step explanation:

52936/1 year x 1 year/52 weeks x 1 week/40hours