answer.
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
tester [92]
2 years ago
4

Square RSTU dilates by a factor of 1/2 with respect to the origin to create square R'S'T'U'. If R'S' is 2 units, what is RS? 0.5

units 1 unit 4 units 2 units
Mathematics
2 answers:
Neko [114]2 years ago
6 0
You multiply the number of units by the value of the dilation. Since the dilation is the factor of 1/2, however, the end result is 1, so you can solve this with an equation.

The original equation is:
x times 1/2 = 2
or 
0.5x=2

Now, you divide both sides by 0.5 to solve for x.
0.5x/0.5=2/0.5
x = 4

Therefore, the answer is 4 units.
frez [133]2 years ago
3 0

Answer:

X=4

Step-by-step explanation:

2÷\frac{1}{2}=4

You might be interested in
4. Suppose that Peculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply thr
Viktor [21]

Answer:

Peculiar purples would be more abundant

Step-by-step explanation:

Given that eculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply through a mechanism in which each single  bacterial cell splits into four. Time taken for one split is 12 m for I one and 10 minutes for 2nd

The function representing would be

i) P=P_0 (4)^{t/12} for I bacteria where t is no of minutes from start.

ii) P=P_0 (4)^{t/10} for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

a) Here P0 =3, time t = 60 minutes.

i) I bacteria P = 3(4)^{5} =3072

ii) II bacteria P = 3(4)^{4} =768

b) Since II is multiplying more we find that I type will be more abundant.

The difference in two hours would be

3(4)^{10}- 3(4)^{8} =2949120

c) i) P=P_0 (4)^{t/12} for I bacteria where t is no of minutes from start.

ii) P=P_0 (4)^{t/10} for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

d) At time 36 minutes we have t = 36

Peculiar purples would be

i) P=3 (4)^{36/12}=192

The rate may not be constant for a longer time.  Hence this may not be accurate.

e) when splits into 2, we get

P=P_o (2^t) where P0 is initial and t = interval of time

7 0
2 years ago
Which equation is the inverse of y = 2x2 – 8?​
natita [175]

The inverse of the function is y=\pm \sqrt{\frac{x+8}{2}}

Explanation:

To find the inverse of the equation y=2x^{2} -8, we need to interchange the variables x and y for the variables y and x.

Thus, the equation becomes

x=2y^{2} -8

Now, we shall find the value of y.

Now, adding 8 to both sides of the equation, we have,

x+8=2y^{2}

Interchanging the sides,

2y^{2} =x+8

Dividing by 2 on both sides,

y^{2} =\frac{x+8}{2}

Taking square root on both sides,

y=\pm \sqrt{\frac{x+8}{2}}

Thus, the inverse of the function is y=\pm \sqrt{\frac{x+8}{2}}

5 0
2 years ago
Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared
vaieri [72.5K]

Answer:

c. observed values of the independent variable and the predicted values of the independent variable

Step-by-step explanation:

This helps us, for example, find the values of y in a y = f(x) equation. y is dependent of x. So x is the independent variable and y the dependent. Obviously, this system is used for way more complex equations, in which is hard to find an actual pattern for y, so we use this method to compare the predicted values of y to the observed.

The correct answer is:

c. observed values of the independent variable and the predicted values of the independent variable

5 0
2 years ago
Write a word problem that involves multiplication and addition. Include extra numerical information
Darya [45]
Sally bought 5 apples at the store. Her friend, jenny, bought 4 times as many apples as Sally. Jonathan bought 6 more apples than Sally. How many apples did Jenny buy?
8 0
2 years ago
Read 2 more answers
Elena makes banana bread and nut bread to sell at the market. A loaf of banana bread requires 2 cups of flour and 2 eggs. A loaf
Rainbow [258]

The answer is Elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit

8 0
2 years ago
Read 2 more answers
Other questions:
  • What integer is equivalent to 25 3/2
    6·2 answers
  • The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second num
    6·2 answers
  • Evaluate 3/2y-3+ 5/3z when y= 6 and z=3
    7·2 answers
  • Solve the linear expression 5(-3.4k-7)+(3k+21)
    13·1 answer
  • charles meets with customers on a daily basis. he uses the function f(x)=5/x-8/+20 to calculate how many dollars he charges....f
    8·2 answers
  • William has eight more nickels than dimes in his pocket for a total of $2.50
    14·1 answer
  • A store sold a case of scented candles for $17.85 that had been marked up 110%. What was the original price?
    13·1 answer
  • Which of the following equations has a maximum at (9,7)
    14·2 answers
  • A container contains 13 almonds, 8 walnuts, and 19 peanuts. You randomly choose one nut and eat it. Then you randomly choose ano
    12·1 answer
  • Which statement best describes Janelle's conclusion? Her conclusion is incorrect because 2x + 10 is not equal to 3x – 5. Her con
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!