find the acute angle lies between the vectors a=3i+4j and b=7i+j

Answer:

Determine Your Budget.

Check Your Credit.

View Multiple Rentals.

Consider Roommates.

Consider a Cosigner.

Gather Your References.

Check Out the Neighborhood.

Check All the Websites.

Answer:

Step-by-step explanation:

Given function:

This is a quadratic function with positive leading coefficient.

It means the graph of the function opens up and therefore it has minimum value of the function at the vertex.

Correct answer choice is A

Answer: no 1.5 in this cawe is a neg number which is why they put a negative sign in the front

The solution is, the 1st linear function => f(x) = -2x+1  and,

the 2nd linear function => f(x) = x/2.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

from the given data, we get,

for the 1st table,

the linear function => f(x) = -2x+1

and,

from the 2nd table,

the linear function => f(x) = x/2

Hence, The solution is, the 1st linear function => f(x) = -2x+1  and,

the 2nd linear function => f(x) = x/2.

To learn more on function click:

brainly.com/question/21145944

#SPJ1

Answer:

Because alkylating agents effectively sterilize materials at low temperatures but are carcinogenic and may also irritate tissue.

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

8 x 1 = 8

8 x 10 = 80

8 x 100 = 800

Is this what you need? Sorry if its not.

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

The point of tangency of line s to circle B is, point K and option 2 is the correct answer.

A straight line that touches a curve only once, without passing over or intersecting it, is said to be tangent to the curve. The limit of the secant lines that pass through a point on a curve is referred to as the tangent line in mathematics. Secant lines are lines that connect two adjacent points on the curve.

The tangent line mathematically indicates the slope or instantaneous rate of change of the curve at that location. The tangent line at a point on the curve shows the object's instantaneous velocity at that location if the curve represents an object's route.

The line s is the tangent to the circle B and it touches the circle at point K.

Hence, the point of tangency of line s to circle B is, point K and option 2 is the correct answer.

Learn more about tangent here:

https://brainly.com/question/31326507

#SPJ1

The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

Learn more about Volume here:

brainly.com/question/1578538

#SPJ1

Given the following question:

Your answer is option D.

Answer:

There were 120 employees prior to the layoffs.

Step-by-step explanation:

x is original amount of employees

0.7x=84

divide by 0.7 both sides

x=120 employees

downsize 30% is 36, 120-36=84

The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.

Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.

The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.

The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.

In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.

Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.

To know more about factor click-
https://brainly.com/question/2826496
#SPJ1

Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

Read more on dilation and scale factor here: brainly.com/question/4421026

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Squirrel has High BLood pressure

Step-by-step explanation:

Squirrels

Answer:

A. 0.3

B. 0.9

By converting these to their tenth form, we can get 1 place decimals

Step-by-step explanation:

A=0.3 answer of a

B=0.9 answer of b

Answer:

A map has a scale of 1 inch:18 km, three distances on the map are listed in the chart below drag an actual distance into each box to match the corresponding distance on the map

Step-by-step explanation:

1-18

The x-intercepts of the given equation 4x^2-12x+4 is -3/2

What is Quadratic equation ?

Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0

where c is a constant.

Given equation ,

y = 4x^2+12x+4

so we have to find the x-intercept , make y = 0

and we have to solve for the given quadratic equation

so,

we get

4x^2+12x+4 = 0

(2x)^2 + 9 + 12x = 0

(2x+3)^2 = 0

x = -3/2

There is double root unique intercept or tangent at  x  = -3/2

Therefore, The x-intercepts of the given equation 4x^2-12x+4 is -3/2

To learn more about Quadratic equation from the given link.

https://brainly.com/question/30098550

#SPJ1

bruhh im having the same fking problems like jesus christ!!!!

A 3rd degree polynomial function with real coefficients satisfying the given condition. 2 and -3 +3i are zeros; leading coefficients is 1, is:

f(x) = x³ + 4x² + 6x - 36

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

A polynomial function is one that uses only non-negative integer powers or positive number coefficients of such a variables in such an expression like the quadratic function, cubic equation, and so on.

we have to find third degree polynomial, so, n = 3

Since 2 is its zero ,so, x - 2 is its factor

As complex zeros occur in conjugate pairs .

So,other factors are (x + (3 + 3i)) and (x + (3 - 3i)) ,

Firstly, we find the product of these two factors:

= x² + 6x + 9 - 9i²

= x² +6x +9 - 9(-1)

= (x² +6x + 18)

Now multiply (x² +6x + 18) with (x - 2) we get f(x):

= (x² +6x + 18) (x - 2)

= x³ - 2x² + 6x² - 12x + 18x - 36

= x³ + 4x² + 6x - 36

Correct option: b

To know more about polynomial function refer to:

https://brainly.com/question/7693326

#SPJ1

a) The compounded amount in the account at the end of 1 year is $7,950.

b) The compounded amount in the account at the end of 2 years is $8,427.

Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.

By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.

Compound interest is unlike simple interest, which does not compound interest.

The compound interest formula is:

A = P(1 + r/n)^nt

A = Final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

t = number of time periods elapsed

Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:

A = P(1 + r)ⁿ

Principal = $7,500

Compound interest rate = 6%

Compounding period = Annually

Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)

Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)

Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.

Learn more about compound interest at https://brainly.com/question/24274034

#SPJ1

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

Answer:

y = \(\frac{3}{4}\) x - \(\frac{9}{2}\)

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 ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = \(\frac{-3-(-6)}{2-(-2)}\) = \(\frac{-3+6}{2+2}\) = \(\frac{3}{4}\) , then

y = \(\frac{3}{4}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (2, - 3 )

- 3 = \(\frac{3}{4}\) (2) + c = \(\frac{3}{2}\) + c ( subtract \(\frac{3}{2}\) from both sides )

- 3 - \(\frac{3}{2}\) + c , then

c = - \(\frac{9}{2}\)

y = \(\frac{3}{4}\) x - \(\frac{9}{2}\) ← equation of line

The maximum grazing area for the cow is approximately 53,343.08 square feet.

The maximum grazing area for the cow can be found by imagining a circle with radius equal to the length of the rope (130 feet) centered at the corner of the barn where the cow is tethered. The grazing area is the portion of the circle that lies outside the barn.

Since the barn is 8 feet by 8 feet, it covers a square area of 64 square feet. The radius of the circle is 130 feet, so the area of the circle is π(130)^2 square feet.

To find the maximum grazing area, we need to subtract the area of the barn from the area of the circle.

Area of circle = π(130)^2 square feet = 53,407.08 square feet

Area of barn = 64 square feet

Maximum grazing area = Area of circle - Area of barn

= 53,407.08 - 64

= 53,343.08 square feet (rounded to two decimal places)

Learn more about maximum grazing area on:

https://brainly.com/question/31253278

#SPJ1

Answer:

3.160

Step-by-step explanation:

You can solve for x using logarithm.

Rewrite in logarithm form

\(log_{6}4=2x\\\\x=\frac{log_64}{2}\\x=\frac{\frac{log4}{log6}}{2}\\x=\frac{log4}{log6} * \frac{1}{2}\\x=\frac{log4}{log6 * 2}\\x\approx0.386852807\\36^{6(0.386852807)-2} \approx3.160\)

Answer:

(-6, 6)

Step-by-step explanation:

Let the coordinates of point B be (x, y)

Since, M is the midpoint of AB.

Therefore, by mid-point formula:

\( - 5 = \frac{ - 4 + x}{2} \\ - 5 \times 2 = - 4 + x \\ - 10 + 4 = x \\ x = - 6 \\ \\ 4 = \frac{2 + y}{2} \\ 4 \times 2 = 2 + y \\ 8 = 2 + y \\ 8 - 2 = y \\ y = 6 \\ \\ (x, \: \: y) = ( - 6, \: \: 6)\)

Thus, the coordinates of point B are (-6, 6).

The coordinate of B is (-6, 6) if the midpoint of AB is M(-5, 4) and the coordinates of A are (-4, 2),

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

We have:

The midpoint of AB is M(-5, 4).

The coordinate of A is (-4, 2)

Let the coordinate of B is (x, y)

By using the midpoint property:

(-4+x)/2 = -5

-4 + x = -10

As we know, the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

-4 + x = -10

It is a linear equation in one variable:

x = -6

Similarly for y:

(2+y)/2 = 4

2 + y = 8

y = 6

The coordinate of B is (-6, 6)

Thus, the coordinate of B is (-6, 6) if the midpoint of AB is M(-5, 4) and the coordinates of A are (-4, 2),

Learn more about the order double here:

brainly.com/question/10757890

#SPJ2

the scale factor used in the dilation of triangle D to create triangle D' is one-third. This means that every length in triangle D' is one-third the length of the corresponding length in triangle D.

How to solve the question?

To determine the scale factor used in the dilation of triangle D to create triangle D', we need to compare the corresponding sides of both triangles. The corresponding sides of two similar triangles are proportional, meaning that they have the same ratio.

In this case, we can see that the length of every side of triangle D' is one-third the length of the corresponding side of triangle D. For example, the length of the shortest side of triangle D is 18, while the length of the shortest side of triangle D' is 6. Similarly, the length of the longest side of triangle D is 30, while the length of the longest side of triangle D' is 10.

We can use this information to find the scale factor by dividing the length of any side of triangle D' by the length of the corresponding side of triangle D. Let's choose the shortest side for this calculation:

scale factor = length of corresponding side in D' / length of corresponding side in D

scale factor = 6 / 18

scale factor = 1/3

Therefore, the scale factor used in the dilation of triangle D to create triangle D' is one-third. This means that every length in triangle D' is one-third the length of the corresponding length in triangle D.

To know more about triangles visit :-

https://brainly.com/question/17335144

#SPJ1

Answer:

b) 3 * m - 5

Step-by-step explanation:

i rember a test i took on these