1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tamaranim1 [39]
2 years ago
13

The image of the point (1, -3) under a translation is (-4,-2). Find the

Mathematics
2 answers:
just olya [345]2 years ago
8 0

Answer: (-8,8)

Step-by-step explanation:

First you will find the amount that the pre-image was translated by to get the image.

If the pre -image is (1,-3)  and the image is (-4,-2)   then we know that to get from 1 to -4  you will have to subtract 5 from one 1  , and to get from -3 to -2 you will have to add one.

This means that the translation rule will be ( x-5, y +1)    

Using that rule, we will find the image of the point (-3,7)  by subtracting 5 from the x coordinate and adding 1 to the y coordinate.

x:  -3-5 = -8

y: 7 + 1 = 8

(-8,8)

Kay [80]2 years ago
3 0

Answer: -8,6

Step-by-step explanation:

You might be interested in
Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putt
Contact [7]

Answer:

120

Step-by-step explanation:

Blue marbles = 2

Red marbles = 3

Total marbles = 2 + 3 = 5

If a marble is drawn 300 times ;prediction for the number of times a blue marble will be drawn :

P(drawing a blue marble) = number of blue marbles / total number of marbles

= 2 /5 = 0.4

Predicted number of times blue is drawn in 300 selections :

300 * 0.4 = 120

Approximately 120 times

3 0
3 years ago
When solving -1/8 (x + 35) = −7, what is the correct sequence of operations?
mariarad [96]

<u>ANSWER: </u>

Division, multiplication, addition is the correct sequence of operations for solving -\frac{1}{8}(x+35)=-7

<u>SOLUTION: </u>

Given, equation is  -\frac{1}{8}(x+35)=-7

We need to solve the given equation in correct sequential order.

So, let us follow the BODMAS rule.

BODMAS means sequence of operations are brackets, orders, division, multiplication, addition, subtraction

Now,

-\frac{1}{8}(x+35)=-7

As the term in brackets cannot be processed further we can go for next term.

Now the division operation has to be done first according to BODMAS

- 0.125(x+35)= -7

Multiplication comes second in order.

-0.125x+4.375= -7

On rearranging the terms, we get

-0.125x+4.375+7=0

Now perform addition according to BODMAS

-0.125x+11.375=0

0.125x=11.375

x=\frac{11.375}{0.125}=91

Hence division, multiplication, addition is the correct sequence of operations for solving -\frac{1}{8}(x+35)=-7

7 0
3 years ago
Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enroll
Papessa [141]

Answer:

The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2\frac{1.5}{\sqrt{45}} = 0.4

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12.1 - 0.4 = 11.7 units

The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.4 = 12.5 units

The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.

8 0
3 years ago
Integrala x la a treia ori ln la a doua dx va rog
Studentka2010 [4]

I don't speak Romanian, but the closest translation for this suggests you're trying to compute

\displaystyle \int x^3 \ln(x)^2 \, dx

Integrate by parts:

\displaystyle \int x^3 \ln(x)^2 \, dx = uv - \int v \, du

where

u = ln(x)²   ⇒   du = 2 ln(x)/x dx

dv = x³ dx   ⇒   v = 1/4 x⁴

\implies \displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \int x^3 \ln(x) \, dx

Integrate by parts again:

\displaystyle \int x^3 \ln(x) \, dx = u'v' - \int v' du'

where

u' = ln(x)   ⇒   du' = dx/x

dv' = x³ dx   ⇒   v' = 1/4 x⁴

\implies \displaystyle \int x^3 \ln(x) \, dx = \frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx

So, we have

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \left(\frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx \right)

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \int x^3 \, dx

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \left(\frac14 x^4\right) + C

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac1{32} x^4 + C

\boxed{\displaystyle \int x^3 \ln(x)^2 \, dx = \frac1{32} x^4 \left(8\ln(x)^2 - 4\ln(x) + 1\right) + C}

3 0
2 years ago
Dinner for a family of 3 at the local Italian Eatery came to $47.83 before tax. If the family wanted to tip their server 20%, ho
EastWind [94]

Answer:

$9.57

Step-by-step explanation:

47.83 x 20% = 9.57

5 0
3 years ago
Other questions:
  • an 18 ft tree casts a 15ft long shadow. What angle is formed? A.) 30 degrees B.)40 degrees C.) 50 degrees D.) 60 degrees
    12·1 answer
  • Multiply ($728.00) * (6.2%) and round to the nearest cent. (Include the correct units.)
    9·1 answer
  • Yuri has a rope 12m long. he cuts it into pieces that are each 2m long. what fraction of the rope is one piece
    5·1 answer
  • Can anyone help me with this problem
    8·2 answers
  • What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?
    12·2 answers
  • A relative frequency histogram is given with four classes. The first three bars have a height of 0.25, 0.35, and 0.1 respectivel
    15·1 answer
  • there are 300,000 species of angiosperms on earth and 840 species of gymnosperms. what percentage of seed plants are angiosperms
    5·1 answer
  • Help ASAP
    10·2 answers
  • The plot below shows the volume of vinegar used by each of 171717 students in their volcano experiments.
    14·1 answer
  • There are 750 calories in ten ounces of a certain ice cream. How many calories are
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!