Translate the shape A by the vector ( 1 4 ) .

Answers

Answer 1

Translating shape A by the vector [tex](^1_4)[/tex] means translating 1 unit right and 4 unit up to get A'(4, 7), B'(7, 7), C'(7, 5) and D'(4, 5)

What is a transformation?

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

Let us assume that the vertices of shape A is at A(3, 3), B(6, 3), C(6, 1) and D(3, 1)

Translating shape A by the vector [tex](^1_4)[/tex] means translating 1 unit right and 4 unit up to get A'(4, 7), B'(7, 7), C'(7, 5) and D'(4, 5)

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Related Questions

Betty wants to put new cabinets in her kitchen. She measures one side of her kitchen and finds it measures 181818 meters.
Which measurement did Betty find?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Area

(Choice B)
B
Perimeter

(Choice C)
C
Length

Answers

Answer:

lenght

Step-by-step explanation:

I think it is that because it says ONE SIDE and for area and perimeter of a square/ rectangle you need more than one side

hope it helps

5. Gaur Grandeur is a society which has a garden of length 45 5/7 m and breadth 16 3/4m. Find area of garden​

Answers

Step-by-step explanation:

Here,

given length= 45 5/7 m( mixed fraction)

= 320/7 m( simple fraction)

similar breadth= 16 3/4 m

= 67/4 m

Now,

Area= length* breadth

= 320/7 * 67/4

=5360/7 m²

Step-by-step explanation:

I guess this means the garden is a rectangle.

the area is

length × breadth (or width or ...)

so,

45 5/7 × 16 3/4 =

= (45×7 + 5)/7 × (16×4 + 3)/4 =

= 320/7 × 67/4 = 320×67 / 7×4 = 80×67 / 7 =

= 5360/7 = 765 5/7 m²

You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.

Since the role of young Cosette is played by a child, the Main Street Theatre company must actually cast 3 girls in the role of young Cosette, and alternate girls from night to night. (This is because of restrictions on working hours for children.) You have received headshots and resumes from 25 girls who wish to audition for young Cosette.



Does order matter when casting the 3 young Cosettes? (In other words, are young Cosette 1, young Cosette 2, and young Cosette 3 different parts?)

No, all three girls will play the same part.
Yes, even though they will all be playing the same part, it will be on different nights.
No, all three girls will get paid the same amount.
Yes, young Cosette 1, young Cosette 2, and young Cosette 3 are all different parts.

Answers

The inference based on the information about ordering is that D. Yes, young Cosette 1, young Cosette 2, and young Cosette 3 are all different parts.

What is an inference?

It should be noted that a inference simply means the conclusion that can be deduced based on the information given.

In the role of young Cosette for the drama, 3 girls should be casted.

If three are being casted then there is need for different parts because for same role there may be different stages of character.

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f: {whole numbers} → {whole numbers} Assign each whole number to its largest place value digit. For example, f(4) = 4, f(14) = 4, and f(194) = 9.

f (999)

Answers

Answer:

9

Step-by-step explanation:

Find M∠BFE.
A. 116
B. 58
C. 148
D. 164

Answers

Answer:

C

Step-by-step explanation:

57+57+34=148

What will be the firm's quick ratio after Nelson has raised the maximum amount of short-term funds? Do not round intermediate calculations. Round your answer to two decimal places.

Answers

Based on the short-term debt that Nelson raises, the firm's quick ratio will be 1.204.

What is the firm's quick ratio?

First, find the maximum amount of short-term funds that Nelson can raise?

Assuming this amount is x, we can find it with the current ratio formula:

Current ratio = Current assets / Current liabilities

2 = (1,260,000 + x) / ( 450,000 + x)

x = $360,000

The quick ratio would therefore be:

= ( New Current assets - New inventory) / New current liabilities

= ( (1,260,000 + 360,000) - (285,000 + 360,000) ) / (450,000 + 360,000)

= 1.204

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An artist sells her sculptures for $250. Each piece costs her $150 to make, and she spends $11000 per year for her studio and other fixed costs. How many sculptures must she sell if she wants to make $10000 in profit

Answers

250x-150x-11,000>10,000

l don't know if you know it tell please

Carnot heat engine receives heat at 900 K and rejects the waste heat to the environment at 300 K. The entire work output of the heat engine is used to drive a Carnot refrigerator that removes heat from the cooled space at 215 °C at a rate of 250 kJ/min and rejects it to the same environment at 300 K. Determine (a) the rate of heat supplied to the heat engine and (b) the total rate of heat rejection to the environment.

Answers

A heat engine is a device that turns heat into mechanical energy that may subsequently be utilized to do mechanical labour. The total rate of heat rejection to the environment is 298.4458 kJ/min.

What is a Heat Engine?

A heat engine is a device that turns heat into mechanical energy that may subsequently be utilized to do mechanical labour. It accomplishes this by transferring a functioning ingredient from a higher to a lower state temperature.

For the following condition, the diagram can be made as shown below. Also, the Heat Engine Sink temperature, [tex]T_H[/tex] = 900 K

Heat Engine surrounding temperature, [tex]T_L[/tex] = 300 K

Refrigerator surrounding temperature, [tex]T'_C[/tex] = 215 C + 273 =  488 K

Refrigerator sink temperature, [tex]T'_H[/tex] = 300 K

The heat removed by the refrigerator, [tex]Q'_{in}[/tex] = 250 kJ/min

A.) For a Carnot refrigerator, the COP or the coefficient of performance is given by,

[tex]COP = \dfrac{T'_C}{T'_H-T'C}[/tex]

COP = (488)/(488-300)

COP = 2.596

The COP is also the ratio of the Heat input and the work output.

[tex]COP = \dfrac{Q'_{in}}{W}[/tex]

2.596 = 250/W

W = 96.302 kJ/min

The Carnot engine efficiency is expressed as,

[tex]\eta = 1- \dfrac{T_C}{T_H}[/tex]

η = 1 - (300/900)

η = 0.6667

Also, the Carnot engine efficiency is defined as,

[tex]\eta = \dfrac{W}{Q_{in}}\\\\[/tex]

[tex]0.6667 = \dfrac{96.302}{Q_{in}}\\\\Q_{in} = \rm 144.4458\ kJ/min[/tex]

Hence, the rate of heat supplied to the heat engine is 144.4458 kJ/min.

B.) The total work done by the engine is 96.302 kJ/min, while the heat input is 144.4458 kJ/min. Therefore, the heat output of the system is,

[tex]W = Q_{in} - Q_{out}\\\\Q_{out} = 48.1438\rm\ kJ/min[/tex]

Thus, the total rate of heat rejection to the environment,

[tex]\text{Total Heat rejection} = Q_{out}+Q'_{in}\\[/tex]

                               = 48.4458 kJ/min + 250 kJ/min

                                = 298.4458 kJ/min

Hence, the total rate of heat rejection to the environment is 298.4458 kJ/min.

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Please help!! Find the solution for t in the equation:

Answers

Answer:

t = 1.322

Step-by-step explanation:

4×(2^t) = 10

2^t = 10/4 = 2.5

t = log2(2.5)

now, the logarithm to the base 2 of 2.5 must be larger than 1, as 2.5 is larger than 2.

so, it can be only the 4th answer option.

now, to actually calculate it :

log2(2.5) = log10(2.5) / log10(2) = 1.321928095... ≈

≈ 1.322

we were correct.

Answer:

t = 1.322

Step-by-step explanation:

Given equation:

[tex]4(2^t)=10[/tex]

Divide both sides by 4:

[tex]\implies \dfrac{4(2^t)}{4}=\dfrac{10}{4}[/tex]

[tex]\implies 2^t=2.5[/tex]

Method 1

Take natural logs of both sides:

[tex]\implies \ln 2^t = \ln 2.5[/tex]

[tex]\textsf{Apply the natural log power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\implies t \ln 2 = \ln 2.5[/tex]

Divide both sides by ln 2:

[tex]\implies \dfrac{t \ln 2}{\ln 2} = \dfrac{\ln 2.5}{\ln 2}[/tex]

[tex]\implies t= \dfrac{\ln 2.5}{\ln 2}[/tex]

[tex]\implies t=1.321928095...[/tex]

Method 2

[tex]\textsf{Apply log law}: \quad a^c=b \iff \log_ab=c[/tex]

[tex]\implies \log 2 (2.5)=t[/tex]

[tex]\implies t=1.321928095...[/tex]

Solution

Therefore, the solution that is nearest to the exact solution is t = 1.322

What is the solution

Answers

Answer:

4

Step-by-step explanation:

5x + 2 = 2x + 14

5x-2x=14-2

3x=12

x=12/3

x=4

Answer:

The exact form: x = 4

If it takes me 20 minutes to get to work while traveling at an average speed of 60 mph, but it took me 17 minutes to get to work today, what was my average speed today?​

Answers

Answer:

if you are asking a real question the answer should be on your driving history on life 360 or maybe the average gps. How fast were you driving? I have no idea thats a answer only you know.

Step-by-step explanation:

Answer:

r = 70.59  miles / hour

Step-by-step explanation:

Comment

The first set of numbers gives you the distance you travelled.

Givens

t = 20 minutes = 20/60 = 1/3 of an hour

r = 60 miles / hour

d = ?

d =  r * t

d = 60 * 1/3

d = 20 miles  (The hours cancel)

So now you can find out what 17  minutes means

d = 20 miles

t = 17 minutes = 17/60 hours = 0.2833 hours.

r = d / t

r = 20 / 0.2833

r = 70.59  miles / hour

If we run the following program:
a = 2 + 6
b = 7 % 3
c = a - b
c = c * 5
print(c)

what gets printed?

Answers

If you run the program and print(c), your result will be: c = 35

Meaning of Program

A program can be defined in terms of arithmetical functions as a set of instructions that are used to arrive at a solution.

A program guides the computer system on what the user wants.

Analysis

a = 2 + 6 = 8

b = 7 % 3 = 1

c = a - b  = 7

c = c * 5  = 35

In conclusion, If you run the program and print(c), your result will be: c = 35

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(b) Write the next whole number after A59C thirteen in the base-thirteen system.

Answers

In base 13, we use the digits 0-9 along with A for 10, B for 11, and C for 12.

Then the number that comes after A59C₁₃ is

A59C₁₃ + 1₁₃ = A59(C + 1)₁₃

… = A59(10)₁₃

… = A5(9 + 1)0₁₃

… = A5A0₁₃

where I use parentheses to indicate we're adding C and 1 in the same digits place, then carry the 1 into the next digits place.

Median weekly earnings for women with some college for an associate degree. 1980.......$231 2013.............$657 Using today's dollars, the data in the bar graph can be described by the mathematical model W = 13n + 231, Where W represents median weekly earnings n years after 1980. Does the formula underestimate or overestimate the median weekly earnings in 2013? By how much?

Answers

Using the linear function given in this problem, the formula underestimates the median weekly earnings in 2013 by $3, as 657 < 660.

What is the linear function?

The function that estimates the median weekly earnings n years after 1980 is:

W = 13n + 231.

2013 is 2013-1980 = 33 years after 2000, hence the estimate is given by W when n = 33, that is:

W = 13 x 33 + 231 = 660.

657 < 660, hence the formula underestimates the median weekly earnings in 2013 by $3.

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Nine times the sum of a number and 3 is 6 .

Answers

Answer: -2 1/3

Step-by-step explanation:

First, change the word into equation

9*x+3=6

Do division first, so 6/9, simplify into 2/3 then subtract it by 3 which is -2 1/3

Please help me out asap.

Answers

Using a calculator, the slope of the line of best-fit is of 7.2.

How to find the equation of linear regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points are given as follows:

(-4,-32), (-2,-8), (0,10), (2,8), (4,32).

Using the calculator, the equation is:

y = 7.2x + 2.

Hence the slope is of 7.2.

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simplify the expression 1-cos^2(t) / cos^2(t)

Answers

Answer: [tex]\tan^2 t[/tex]

Step-by-step explanation:

[tex]\sin^{2} t+\cos^2 t=1 \implies 1-\cos^2 t=\sin^2 t\\\\\implies \frac{1-\cos^{2}t}{\cos ^2 t}=\frac{\sin ^2 t}{\cos^2 t}=\tan^2 t[/tex]

Jimmy’s original account balance when he opened up his savings account was $3,450.00. In the last two years, he has made no other deposits and it has a current balance of $3,485.95. How much interest did he earn?

Answers

The interest that Jimmy's account has earned is $35.95.

What is the interest that Jimmy's account has earned?

Interest is the total increase in excess of the amount deposited in the account. Interest earned can be determined by subtracting the amount deposited from the current balance.

Interest = current balance - amount deposited

$3,485.95 - $3,450.00 = $35.95

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28 students; 14 students what is the percentage of it?

Answers

Answer:

The percentage of 28 students who are 14 students is 50%.

Step-by-step explanation:

graph y=1x. Sketch the graph below.


1. Select all phrases that fit the graph of y=1x.
curve
straight
y-intercept = 1
positive x-values
quadrant IV
quadrant III
point (1, 1)
x-intercept = 0
quadrant I
y-intercept = 0
no y-intercept
negative y-values
no x-intercept
quadrant II
x-intercept = 1
point (-1, -1)

Answers

The phrases that fit the graph of [tex]y = \sqrt x[/tex] are

curve            positive x-valuespoint (1, 1)        x-intercept = 0quadrant I           y-intercept = 0

How to select the phrases

The equation of the function is given as:

[tex]y = \sqrt x[/tex]

Next, we plot the graph of the function (see attachment)

From the attached graph, we have the following highlights:

All points are in quadrant IThe function is a curveIt has an x-intercept of x = 0It has a y-intercept of y = 0It has only positive x valuesIt passes through (1,1)

The above represents the phrases that fit the graph

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Complete question

Using a graphing application, graph y = √x. Sketch the graph below.

Select all phrases that fit the graph of y = √x

curve     straight      y-intercept = 1        positive x-values

quadrant IV         quadrant III       point (1, 1)        x-intercept = 0

quadrant I           y-intercept = 0        no y-intercept    negative y-values

no x-intercept     quadrant II     x-intercept = 1    point (-1, -1)

32 randomly picked people were asked if they rented or owned their own home, 8 said they rented. Obtain a point estimate of the proportion of home owners.
Group of answer choices

0.250

0.600

0.750

0.200

0.500

Answers

Answer:

.750

Step-by-step explanation:

MATH QUESTION HELP. Hhhhnh

Answers

Answer:

y

Step-by-step explanation:

that easy just isolate the variables

PLS ANSWER THESE TWO QUESTIONS
EXPLANATION IS NOT NEEDED
MAKE SURE IT IS CORRECT

Answers

The answers to the following word problems are given below:

(C). [tex]1\frac{1}{2}[/tex](C). 0

Meaning of word problem

A Word problem can be defined as a mathematical problem that is given in a sentence format.

A word problem needs the student to decipher it and then translate it to a normal arithmetic problem.

In conclusion, The answers to the word problems are given

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The area of one triangle is 270 square centimeters when its height is 30 centimeters and its base length is 18 centimeters. What
is the area of a triangle having a height of 25 centimeters and a base length of 16 centimeters?

Answers

Answer:

[tex]200 cm^2[/tex]

Step-by-step explanation:

A = (1/2)bh

A = (1/2)(18)(30)

A = 270 square cm

A = (1/2)(16)(25)

A = 200 square cm

Answer:

200 square centimeters

Step-by-step explanation:

The area of a triangle can be calculated using the formula: [tex]A = \frac{1}{2}bh[/tex] where b is the base and h is the height. So if the base is 16 cm and the height if 25 cm you simply plug the values into the equation to find the area

Plug Values In:

[tex]A = \frac{1}{2}(16 cm)(25 cm)[/tex]

Multiply 16 cm and 25 cm:

[tex]A = \frac{1}{2}(400 cm^2)[/tex]

Multiply by 0.5 (or technically divide by 2)

[tex]A = 200 cm^2[/tex]

Which represents the inverse of the function f(x) = 4x?
• h(x) = X + 4
• h(x) =x-4
O h(x) = -x
• h(x) = x

Answers

to find the inverse function simply replace "x" by "y", replace "y" by "x", and solve for y
f(x)=4x
y=4x
x=4y
y=x/4 or h(x)=(1/4)x

How would you graph y-intercept is 8 and x-intercept is 9

Answers

Answer:

all shown below

Step-by-step explanation:

y-intercept means a dot's y coordinate is 8 and on the y axis, x-i intercept means a dot's x coordinate is 9 and on the x axis

Answer:

  see the attached graph

Step-by-step explanation:

The intercepts are the points where a graph crosses the coordinate axes.

Y-intercept

The y-intercept is the the point where the graph crosses the y-axis. The value of x is zero there. The coordinates of the y-intercept are (0, 8).

X-intercept

The x-intercept is the point where the graph crosses the x-axis. The value of y is zero there. The coordinates of the x-intercept are (9, 0).

You graph these intercepts by plotting the points at these coordinates.

__

In the attached graph, the intercepts are blue dots, and we have drawn a line through them. The line is not part of the graph of the intercepts. It is merely an instance of a function that has these intercepts.

Determine whether the triangle is a scalene, isosceles of equilateral

Answers

Answer:

Equilateral triangle: All three sides are equal.

Isosceles triangle: All two sides are equal.

Scalene triangle: No sides are equal.

Step-by-step explanation: Step 1: Label the given points as A, B, and C, and plot them as vertices of a triangle with connecting lines to draw the triangle we are working to identify.

Step 2: Calculate the side length AB using the distance formula.

Step 3: Calculate the side length BC using the distance formula.

Step 4: Calculate the side length AC using the distance formula.

Step 5: Compare the side lengths AB, BC, and AC from the previous steps to define the triangle type.

Expand. Your answer should be a polynomial in standard form. -p^2(p^2-p-1) =​

Answers

Answer:

[tex]\huge\boxed{\sf -p^4+p^3+1}[/tex]

Step-by-step explanation:

Given expression:

[tex]=-p^2(p^2-p-1)\\\\Distribute \\\\= -p^4+p^3+1\\\\\rule[225]{225}{2}[/tex]

A person invested ​$7700 for 1​ year, part at ​8%, part at ​9%, and the remainder at ​12%. The total annual income from these investments was ​$811. The amount of money invested at 12​% was ​$1100 more than the amounts invested at 8​% and ​9% combined. Find the amount invested at each rate.

Answers

The amount invested at 8% was $1400, $1900 was invested at 9% and $4400 was invested at 12% making a total annual income of $811.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of money invested at 8%, y represent the amount of money invested at 9% and z represent the amount of money invested at 12%

x + y + z = 7700   (1)

Total interest is:

(x * 1 * 0.08) + (y * 1 * 0.09) + (z * 1 * 0.12) = total interest

0.08x + 0.09y + 0.12z = 811    (

Also:

z = 1100 + x + y    (3)

From equation 1, 2 and 3:

x = 1400, y = 1900 and z = 4400

T

The amount invested at 8% was $1400, $1900 was invested at 9% and $4400 was invested at 12% making a total annual income of $811.

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What happens to the surface area and volume if the lengths of the dimensions of the
prism are multiplied by a scale factor of 3?

Answers

Answer:

area is multiplied by 9volume is multiplied by 27

Step-by-step explanation:

Area of a scaled figure is multiplied by the square of the scale factor; volume is multiplied by the cube of the scale factor.

Area

When dimensions are multiplied by 3, the area is multiplied by 3² = 9.

Area of the larger figure is 9 times that of the smaller one.

Volume

When dimensions are multiplied by 3, the volume is multiplied by 3³ = 27.

Volume of the larger figure is 27 times that of the smaller one.

__

Additional comment

In general, the area of a figure is the sum of the products of two orthogonal dimensions. If each of those is multiplied by 3, then the product is multiplied by 3 twice, or 3² = 9.

Similarly, the volume of a figure is the sum of products of three orthogonal dimensions. When those are each multiplied by 3, the product is multiplied by 3 three times, or 3³ = 27.

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