23
Machine A and machine B both make car parts.
Machine A makes 6 parts every 10 minutes.
Machine B makes 13 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.

The concave mirror is 36.7 cm away from the face.

The magnification equation is:

Magnification=m=-v/u where v is the image distance and u is the object distance.

Given that the upright image of a man's face is 2.54 times the size of the face, therefore magnification,

m=2.54 =-v/u.........(i)

Now, the mirror is a concave mirror and its radius of curvature, R=+36.7 cm.

Thus, the mirror's focal length, f=R/2=+18.35 cm.....(ii)

In terms of focal length, the object distance, u = -f.......(iii)

Substituting equation (ii) and (iii) in equation (i), we get:

2.54=-v/(-f)v=-2.54f

Now we have the relationship between v and f.

The object distance from the mirror is the sum of the focal length and the image distance.

Hence the object distance is:

u=f+v

u=-f+v

=-f-2.54f=-3.54f

Substituting the value of f=-18.35 cm, we get:

u= -3.54f

=3.54×18.35 cm = 64.99 cm

Therefore, the concave mirror is 64.99 cm away from the face of the man.

Learn more about focal length here:

https://brainly.com/question/2194024

#SPJ11

By making linear equations,  Donna made 16 sales this week.

What exactly is a linear equation?

A linear equation is a mathematical expression or equation in which the variables are of the first degree or have an exponent of 1. It represents a straight line when graphed on a coordinate plane. A linear equation can be written in the form of y = mx + b, where "y" and "x" are the variables, "m" is the slope, and "b" is the y-intercept. The slope represents the rate of change or the steepness of the line, while the y-intercept represents the point at which the line intersects the y-axis.

Now,

Let's assume that Donna made x sales this week. Then Chester made x + 8 sales.

Donna's earnings can be expressed as:

Earnings_Donna = Base pay + (Amount per sale × Number of sales)

Earnings_Donna = 22 + 16x

Chester's earnings can be expressed as:

Earnings_Chester = Base pay + (Amount per sale × Number of sales)

Earnings_Chester = 134 + 6(x + 8) = 134 + 6x + 48 = 182 + 6x

Since both Donna and Chester earned the same amount, we can set their earnings expressions equal to each other:

22 + 16x = 182 + 6x

Solving for x, we get:

10x = 160

x = 16

Therefore,

                Donna made 16 sales this week.

To know more about linear equations visit the link

brainly.com/question/29739212

#SPJ1

Answer:

1000-0=1/2(2000-0)

y= 1/2x

-1x + 2y = 0

In the given scenario where line EF is tangent to circle G at point A and the measure of angle EAF is 95°, the measure of angle AFG cannot be determined with the information provided.

More details or measurements are needed to calculate the specific measure of angle AFG.The information given states that line EF is tangent to circle G at point A and the measure of angle EAF is 95°.

However, this information alone is insufficient to determine the measure of angle AFG. The measure of angle AFG depends on the specific measurements or relationships between the angles and segments within the circle.

Without additional information, such as the measurement of another angle or the length of a segment, it is not possible to calculate the measure of angle AFG. Therefore, the specific measure of angle AFG cannot be determined based on the given information.

Learn more about Tangent here :

brainly.com/question/10053881

#SPJ11

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

To learn more about tangent click here:

brainly.com/question/10053881

#SPJ11

Answer:

Decrease by 3.9%

Step-by-step explanation:

54,500(1-x) = 52355

x=0.03935... = 3.935% or 3.9%

Answer:

first we subtract his new salary from the old salary to get the decrease.

Then percentage decrease ,we get the decrease over the new salary and multuply by 100. to get the percentage decrease

The function u is harmonic and the harmonic conjugate of u is

v(x,y) = -ln|x| + ln|y| + C.

(c) Let's verify if the given function u = xy -x + y is harmonic:

The Laplacian of a function u is defined as the sum of the second partial derivatives with respect to the x and y variables. For the function u = xy - x + y, the Laplacian can be calculated as follows:

∇^2 u = ∂^2 u/∂x^2 + ∂^2 u/∂y^2 =

∇^2 u = 2 + 1 = 3

Since the Laplacian of u is a constant (3), it follows that u is a harmonic function in the region where it is defined.

Now let's find the harmonic conjugate of u:

A harmonic conjugate of a harmonic function u is a function v such that u + iv is analytic (complex differentiable), where i is the imaginary unit. To find the harmonic conjugate of u, we integrate the partial derivative of u with respect to x with respect to x and the partial derivative of u with respect to y with respect to y.

The partial derivative of u with respect to x is y - 1, and the partial derivative of u with respect to y is x. Thus, the harmonic conjugate of u is given by:

v(x,y) = ∫ (y - 1) dx + ∫ x dy

v(x,y) = xy - x + ∫ x dy

v(x,y) = xy - x + (1/2) y^2 + C,

where C is an arbitrary constant of integration.

(e) Let's verify if the given function u = In Izl for Rez > 0 is harmonic:

The Laplacian of the function u = In Izl for Rez > 0 can be calculated as follows:

∇^2 u = ∂^2 u/∂x^2 + ∂^2 u/∂y^2

∇^2 u  = (1/z^2) ∂^2 u/∂z^2

∇^2 u = 0, for Rez > 0

Since the Laplacian of u is 0, it follows that u is a harmonic function in the region where it is defined.

Now let's find the harmonic conjugate of u:

A harmonic conjugate of u is a function v such that u + iv is analytic. To find the harmonic conjugate of u, we integrate the partial derivative of u with respect to x with respect to x and the partial derivative of u with respect to y with respect to y.

The partial derivative of u with respect to x is -y/x, and the partial derivative of u with respect to y is x/y. Thus, the harmonic conjugate of u is given by:

v(x,y) = -∫ (y/x) dx + ∫ (x/y) dy

v(x,y) = -ln|x| + ln|y| + C, where C is an arbitrary constant of integration.

To know mare about harmonic conjugate  refer here:

https://brainly.com/question/13319060#

#SPJ11

Answer:

8

Step-by-step explanation:

\(x = 4 \times 2 \\ x = 8\)

Answer:

X=4x 2

x=8

I hope this help you

The graph of the function f(x) = -|0.75 + 1.5| has no vertex

From the question, the definition of the function is given as

f(x) = -|0.75 + 1.5|

From the above definition, we can see that:

The expression of the function f(x) has no occurrence of x

i.e. there is no presence of x in the expression -|0.75 + 1.5|

This means that the function is a linear function

Linear functions do not have vertices

Hence, there are no vertices in the function f(x)

Read more about vertex at

https://brainly.com/question/15709421

#SPJ1

Answer:

i think this is what u want

Step-by-step explanation:

please mark brainliest

Answer:

nvm im wrong its wat the other girl or boy said

Answer:

B. Root 45

Step-by-step explanation:

It is 6.71

Answer:√45

Step-by-step explanation:

√45 = 6.71

The distance between Kelvin's house and Mitch's house, to the nearest tenth, is 5 units.

To find the distance between Kelvin's house at (8, 1) and Mitch's house, use the distance formula:

Distance = √((x₂ - x₁)²+ (y₂ - y₁)²

label Kelvin's house as (x₁, y₁) = (8, 1) and the store as (x₂, y₂) = (5, 5).

Distance = √((5 - 8)² + (5 - 1)²)

Distance = √((-3)² + (4)²)

Distance = √(9 + 16)

Distance = √25

Distance = 5

To know more about distance here

https://brainly.com/question/31713805

#SPJ4

Both small sample sizes and existing studies can deliver reliable and appropriate outcomes because they serve different purposes in research. Small sample sizes can provide valuable preliminary data, while existing studies offer a broader context and a foundation for comparison and replication.

Small sample sizes can still yield reliable outcomes in certain situations. They are often used in exploratory research or pilot studies, where the primary goal is to gather preliminary data and test the feasibility of a study. Small samples can provide valuable insights into the research topic, generate hypotheses, and identify potential areas for further investigation. While the results may not be statistically significant or generalizable to a larger population, they can still offer meaningful qualitative or exploratory findings.
On the other hand, existing studies play a crucial role in research by providing a broader context and a foundation for comparison and replication. They are often conducted with larger sample sizes and rigorous methodologies, which enhance the reliability and validity of their findings. Existing studies undergo peer review and scrutiny, ensuring that their outcomes meet scientific standards. Researchers can leverage these studies to build upon previous knowledge, replicate experiments, and conduct meta-analyses, which further strengthen the reliability of the outcomes.
Combining both small sample studies and existing research allows for a comprehensive approach to scientific inquiry. While small sample studies contribute by generating initial insights and hypotheses, existing studies provide a robust framework for validating and extending those findings. By acknowledging the strengths and limitations of each approach, researchers can obtain reliable and appropriate outcomes that contribute to the advancement of knowledge in their respective fields.

learn more about sample size here

https://brainly.com/question/31734526



#SPJ11

The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.

The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).

Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.

In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.

Learn more about present value here: brainly.com/question/28304447

#SPJ11

Answer:

your answer is 1.3

Step-by-step explanation:

6 possible ways to order 3 couples in a row

Given,

We have three married couples. that is six persons in total.

a, b, c, d, e, f may taken as the six persons.

Considering the statement:

Elder partner on the left, assume a, c and e as elders.

Then we have, (a, b) ------ ( 1)

                        (c, d) ------ (2)

                        (e, f) ------ (3)

There is no change in position between the couples.

So, we get three persons in total.

Possible ways to order these three persons will be like this: 3! = 3×2×1

                                                                                                        = 6

Learn more about seating arrangement here ; https://brainly.com/question/10702719

#SPJ4

Answer:

23 inches

Step-by-step explanation:

1 foot = 12 inches

35 inches - 12 inches = 23 inches

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Hello there! :)

Answer:

First choice, (x + 2) and (x - 6).

Step-by-step explanation:

To solve for the dimensions, recall that the formula for the volume of a rectangle is:

A = l × w

Simply factor x² -4 - 12. Find two numbers that add up to -4 and multiply into -12.

2, -6 satisfy these conditions. Use these numbers to write this equation in factored form:

(x + 2) (x - 6). Thus, the first option is the correct answer.

Answer:

(x-6) (x+2)

Step-by-step explanation:

x^2 - 4x – 12

Factor

What two numbers multiply to -12 and add to -4

-6*2 = -12

-6+2 = -4

(x-6) (x+2)

Answer:

Yes

Step-by-step explanation:

According to the analysis;

There are four 1/4 cups in one whole

There are eight 1/4 cups in two wholes

Then the fraction 2/4 = 1/4 + 1/4 Hence there are two 1/4 cups in 2/4.

Altogether we have the fraction 2 2/4 as 8 + 2 = 10 measures of 1/4 cups

To confirm, 10 * 1/4 = 2 2/4

Therefore, the analysis is correct.

Answer:

b

Step-by-step explanation:

I had this exactl question a while ago

The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.

In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.

The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.

By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.

Learn more about dependent variable here:

https://brainly.com/question/1479694

#SPJ11

Answer:

y = -2x + 17.

Step-by-step explanation:

To find the equation of a line that is parallel to another line, we need to use the fact that parallel lines have the same slope.

First, we need to rearrange the equation of the given line 4x + 2y = 10 into slope-intercept form y = mx + b:

4x + 2y = 10

2y = -4x + 10

y = -2x + 5

So, the slope of the given line is -2.

Since the line we're looking for is parallel to the given line, it will have the same slope of -2. We also have a point (7,3) that the line passes through. We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is the point.

Plugging in the values, we get:

y - 3 = -2(x - 7)

Simplifying:

y - 3 = -2x + 14

y = -2x + 17

So, the equation of the line that passes through the point (7,3) and is parallel to the line 4x + 2y = 10 is y = -2x + 17.

Answer:

91 hundreths, (1*1)+(9*1/10), .19

<3 love from maddie

Answer:

(1*1)+(9*1/10) then 91 hundreths and last 0.19

Hope it helps!

Answer:

a^2+a-6

Step-by-step explanation:

I don't know the full context of what your question is asking for, but I provided the full answer for when you multiply the two together.

Answer:

56

Step-by-step explanation:

Answer:

y axis, x axis, give a verticle coordinate

Answer:

Step-by-step explanation:

all values are true

Answer:

-12.5%

-14.29%

Step-by-step explanation:

For #2:

Original price is $2.00, that price decreased by $0.25 is $1.75. First figure out what $0.25 out of $2.00 is as a percent:

0.25/2.00 = 0.125 = 12.5%

Then, since the price DECREASED by $0.25, the percent would be negative.

For #4:

Original price is $3.50, that price decreased by $0.50 is $3.00. Like #2, you need to figure out what $0.50 out of $3.50 is as a percent:

0.50/3.50 = 0.1429 = 14.29%

Then, since the price DECREASED by $0.50, the percent would be negative.

Answer:

\(\Huge\boxed{B.18.610}\)

Step-by-step explanation:

Hello There!

We can find y by using trigonometric ratios

sine, cosine and tangent

\(tan= \frac{opposite}{adjacent}\)

the opposite of the angle that has a measure of 28 degrees is y and the side that is adjacent to the angle is 35

so...

\(tan28=\frac{y}{35}\)

now we solve for  y using basic algebra

we want to isolate the variable (y) using inverse operations

to get rid of the 35 we multiply each side by 35

\(\frac{y}{35} =y\\tan28*35=35tan28\)

now we let the calculator do the rest of the work

\(35tan(28)=18.60983011\)

*round to the nearest thousandth*

we're left with

y = 18.610

hence your answer is B