. Part A: Under a dilation of scale factor 3 centered at the origin, AB becomes A'B'. Determine the coordinates of A'B' and sketch A'B' on the graph. 1 Part B: Under a dilation of scale factor - centered at the origin, AB becomes DC. Determine the coordinates of DC and sketch DC on the graph.
Answers
Answer:
Step-by-step explanation:
Part A.
Coordinates of A and B are,
A(-2, 2) and B(3, 2)
Rule for dilation of a point (x, y) by a scale factor k about the origin,
(x, y) → (kx, ky)
If the points A and B are dilated by a scale factor 3, image points will be,
A(-2, 2) → A'(-6, 6)
B(3, 2) → B'(9, 6)
Part B.
Following the same rule of dilation about the origin by a scale factor of [tex]\frac{1}{2}[/tex] about the origin,
A(-2, 2) → D(-1, 1)
B(3, 2) → [tex]C(\frac{3}{2},1)[/tex]
Related Questions
4. To make te cups of hot chocolate, 4 tablespoons of cocoa mix
must be used. If a snack bar wants to make 36 cups of hot chocolate,
how much mix will they need?
Answers
Answer:
144
Step-by-step explanation:
You will multiply 4 tablespoons by the number of cups, that is how you get your answer. ; )
4n+7-2 pls in really need help;-;
Answers
Answer:
4n + 5
Step-by-step explanation:
This equation cannot be simplified further
Unless you meant 4n + 7 = 2
Then the answer would be -1.25
Answer:
4n+5 hope this helps
Step-by-step explanation:
4n+7-2
4n+5
Find all the factor pairs for 84 and complete the equations.
84 =
X 84
84 = 2 x
84 = 3 x
84 = 4 x
84 = 6 x
84 =
X 12
Answers
2. 84 = 2 x 42
3. 84 = 3 x 28
4. 84 = 4 x 21
5. 84 = 6 x 14
6. 85 = 7 x 12
Hope this helps!
A total of six and x is less than 20
Answers
Answer:
x+6<20
x<14
Step-by-step explanation:
Answer:
20-6+x
Step-by-step explanation:
you would add six and x and then subtract it from twenty becouse less than means to subract
00:00 The product of 64 and 13 can be rewritten as the sum of two products. Which expression is equal to 64 x 13? A. (60 x 13) + (60 x 4) B. (10 x 60) + (4 x 3) O C. (60 x 13) + (4 x 13) O D. (60 x 1) + (60 x 4)
Answers
Answer:
∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13) ⇒ C
Step-by-step explanation:
The product of two numbers can be put in the form of the sum of two products by using this rule, m × n = (a × n) + (b × n), where m = a + b
Let us solve the question using this rule
∵ We need to put 64 × 13 as the sum of two products
→ Let m = 64 and n = 13
∵ m = 64 and n = 13
∵ 64 = 60 + 4
∴ a = 60 and b = 4
→ By using the rule above
∵ m × n = (a × n) + (b × n)
∵ a = 60, b = 4, and n = 13
∴ 64 × 13 = (60 × 13) + (4 × 13)
∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13)
Justin played video games for the following amount of time this past week 42 mins, 35 mins, 28 mins, 55 mins, and 57 mins what was the median amount of time justin played video games this past week
Answers
Answer:
42 minutes
Step-by-step explanation:
Put all numbers in order then cross out a number from each side until you reach the middle.
28, 35, 42, 55, 57
/ 35, 42, 55 /
/ / 42 / /
Answer:
3 hours and 37 minutes
Step-by-step explanation:
42+35+28+55+57=217
217/60=3.61666.....
217-60-60-60=37
Sharon has a square picture frame with an area
of 400 inches squared. She wants to decorate
one side of the frame with ribbon. What is the
amount of ribbon she needs?
Answers
Answer:
200 inches of ribbon
Step-by-step explanation:
if the formula to finding an area is s²
and we already know that the area is 400, so we divide the area by 1/2 to get the length of each side
A baseball is 1.75 times the size of a golf ball. If the golf ball is 1.68 inches in
diameter, what is the diameter of the baseball?
Answers
Answer:
2.94 in
Step-by-step explanation:
Solve the equation 4(2x + 1) = 6x - 12
x=-13/2
x = -8
x = 8
X=11/2
Answers
4(2x)+4(1)=6x-12
8x+4=6x-12
2x+4=-12
2x=-16
2x/2=-16/2
x=-8
At the carnival, the ratio of people who won the ring toss game to lost it was 8 : 5. If 56
people won, how many people would have lost?
Answers
Answer:
The answer is 35
Step-by-step explanation:
First of all, note that 56 is the same as 56/1 since 56 divided by 1 is 56. Therefore, start by setting up the problem like this:
Step 1: 56/1 x 8/5 =
Step 2: Multiply the numerators together (56 x 8 = 448) and multiply the denominators together (1 x 5 = 5) and make it into one fraction like so 448/5 Step 3: Convert the improper fraction above to a mixed number to get the answer: 89 3/5
That's it! Now you know how to calculate 56 times 8:5.
Answer:
35
Step-by-step explanation:
Determine if each pair of ratios or rates are equivalent.
16 points scored in 4 games.
48 points scored in 8 games.
Answers
Answer:
it is not the same
Step-by-step explanation:
16x4=64 & 48x8=394
You are using 1000 feet of fence to create a rectangular enclosure. Let X represents length of the rectangle. Please use proper unit in each answer. A rectangle drawing could help. 1. Express the width of the rectangle in terms of the length X. 2. Express the surface area of the rectangle in terms of X. 3. What value of X gives the maximum surface area. 4. What is the maximum surface area?
Answers
Answer:
1. Express the width of the rectangle in terms of the length X.
width = 500 - X
2. Express the surface area of the rectangle in terms of X.
area = -X² + 500X
3. What value of X gives the maximum surface area?
maximum surface area results from the rectangle being a square, so 1,000 ÷ 4 = 250
X = 250 ft
4. What is the maximum surface area?
maximum surface area = X² = 250² = 62,500 ft²
Step-by-step explanation:
since the perimeter = 1,000
1,000 = 2X + 2W
500 = X + W
W = 500 - X
area = X · W = X · (500 - X) = 500X - X² or -X² + 500X
The area of a shape is the amount of space it occupies.
The width in terms of x is 500 - xThe surface area in terms of x is x(500 - x)The value of x that gives maximum surface area is 250 feetThe maximum area is 62500 square feetThe length is represented as x.
Let the width be y.
So, we have:
[tex]\mathbf{Perimeter =2(x + y)}[/tex]
This gives
[tex]\mathbf{2(x + y) = 1000}[/tex]
Divide both sides by 2
[tex]\mathbf{x + y = 500}[/tex]
Make y the subject
[tex]\mathbf{y = 500 -x}[/tex]
So, the width in terms of x is 500 - x
The surface area is calculated as:
[tex]\mathbf{A = xy}[/tex]
Substitute [tex]\mathbf{y = 500 -x}[/tex]
[tex]\mathbf{A = x(500 - x)}[/tex]
So, the surface area in terms of x is x(500 - x)
Expand [tex]\mathbf{A = x(500 - x)}[/tex]
[tex]\mathbf{A = 500x - x^2}[/tex]
Differentiate
[tex]\mathbf{A' = 500- 2x}[/tex]
Equate to 0
[tex]\mathbf{500- 2x = 0}[/tex]
Rewrite as:
[tex]\mathbf{2x = 500}[/tex]
Divide both sides by 2
[tex]\mathbf{x = 250}[/tex]
So, the value of x that gives maximum surface area is 250
Substitute 250 for x in [tex]\mathbf{A = x(500 - x)}[/tex]
[tex]\mathbf{A = 250 \times (500 - 250)}[/tex]
[tex]\mathbf{A = 250 \times 250}[/tex]
[tex]\mathbf{A = 62500}[/tex]
Hence, the maximum area is 62500
Read more about areas at:
https://brainly.com/question/11906003
What rule can you write about where the numbers in an inequality with a greater than symbol lie in relation to each other on the horizontal number line?
Answers
Answer:
For inequalities with a less than sign (<), the first number is always to the left of the second number on the horizontal number line.
Step-by-step explanation: I had it as a question.
The first number is always to the left of the second number in inequalities with a less-than sign ().
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let's assume an inequality,
y < x
Which represents that x has a greater value than y, and also on the horizontal number line, the first number is always to the left of the second number in inequalities with a less-than sign ().
Thus, The first number is always to the left of the second number in inequalities with a less-than sign ().
Learn more about inequality here:
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A ball has a diameter
8 inches what is the surface area
Answers
Answer:
diameter ÷ 2 = 8 ÷ 2 = 4
Step-by-step explanation:
What is the slope of the line in this graph?
y 10
9
18
17
6
4
3
12
1
X
4
5
6
7
8
9
10
Answers
Answer : 5/7 for sure is the answer
where can I find about slopes in homework 5 unit 3
Answers
Answer:
idk
Step-by-step explanation: sorry im in unit 6 in science im working on rn
baiiii
3(2e + 5) + 8(1 - e) = 1
ILL MARK BRAINLIST HELP !!!
Answers
Answer:
11 (positive)
Step-by-step explanation:
Answer:
e=11
Step-by-step explanation:
3(2e+5)+8(1-e)=1
6e+15+8-8e=1
-2e+23=1
-2e=-22
e=11
On average, Seattle gets 38 inches of rain each year. How many centimeters of rain do they get each year?
I'll give brainiest!
Answers
Answer:
88.9
Step-by-step explanation:
A weighted coin has a 0.599 probability of landing on heads. What is the probability that it takes 5 flips for the first head to occur?
Answers
Answer:
0.411^5 times 0.599
Step-by-step explanation:
0.599 chance of landing on heads.
0.411 chance of not landing on heads.
0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).
from 12 teachers to 48 teachers rounded to the nearest percent
Answers
Answer:
20%
Step-by-step explanation:
i don't know if this it what you want bc there isn't enough info. 12+48=60
12/60=1/5
1/5=.2
.2=20%
1. A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,
the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats
per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's
bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after
the drug has been administered is given by Q(t) = 250(0.8)".
a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?
10 minutes? 13 minutes?
Answers
Complete question :
A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,
the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats
per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's
bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after
the drug has been administered is given by Q(t) = 250(0.8)^t.
a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?
10 minutes? 13 minutes?
Answer:
76.384 ;
68.389 ;
65.369;
62.749
Step-by-step explanation:
Given function:
r(Q) = 60+ 0.2Q ; amount of drug on patient's body, Q and heart rate (r)
The amount of drug in the patient's body, Q, (in milligrams) t minutes after
the drug has been administered is given by Q(t) = 250(0.8)^t
a. What is the heart rate of this patient
5 minutes after the drug was administered?
t = 5 ; quantity of drug on patient's body ;
Q(5) = 250(0.8)^5 = 81.92
Q = 81.92
Heart rate (r)
r(81.92) = 60+ 0.2(81.92) = 76.384
t = 8 minutes?
Q(8) = 250(0.8)^8 = 41.94304
Q = 41.94304
Heart rate (r)
r(41.94304) = 60+ 0.2(41.94304) = 68.389
t = 10 minutes
Q(10) = 250(0.8)^10 = 26.8435456
Q = 26.8435456
Heart rate (r)
r(26.8435456) = 60+ 0.2(26.8435456) = 65.369
t = 13 minutes
Q(13) = 250(0.8)^13 = 13.7438953472
Q = 13.7438953472
Heart rate (r)
r(13.7438953472) = 60+ 0.2(13.7438953472) = 62.749
A pharmacologist measured the concentration of dopamine in the brains of several rats. The mean concentration was 1,269 ng/gm and the standard deviation was 145 ng/gm.4 What was the standard error of the mean if:_______.(a) 8 rats were measured?
(b) 30 rats were measured?
Answers
Answer:
51.265242 ng/gm ; 26.473257 ng/gm
Step-by-step explanation:
The standard error of the mean = standard deviation / √sample size
Given that:
mean concentration = 1,269 ng/gm
Standard deviation (s) = 145 ng/gm
Standard Error if 8 rats were measured :
Sample size (n) = 8
Standard Error = s / √n
Standard Error = 145 / √8
Standard Error = 145 / 2.8284271
Standard Error = 51.265242 ng/gm
If 30 rats were measured :
Standard Error = 145 / √30
Standard Error = 145 / 5.4772255
Standard Error = 26.473257 ng/gm
what is the slope and the y-intercept for the equation y = -3 + 6x?
Answers
Answer:
slope-6
y-intercept-(0,-3)
Step-by-step explanation:
Which weighs more a backpack that weighs 9.5 kg grams or a case of water that weighs 16 pounds
Answers
Answer:
The backpack weighs more
Step-by-step explanation:
9.5kg = 20.94391 lbs
Answer:
a backpack that weighs 9.5kg
Step-by-step explanation:
kilogram (kg) is stated to be 2.2 times heavier than a pound
A student wants to determine if different types of soil, A and B, affect the propagation of African violets. One hundred leaves from the same variety of African violet were selected. The leaves were then randomly assigned to 50 pots with type A soil and the remaining leaves were put into the 50 pots with type B soil. All of the pots were given the same amount of water and arranged in 10 rows of 10 pots near a window for light. The 50 pots with type A soil were placed closest to the window. At the end of two months, the pots with type A soil had the greatest number of pots with new growth, so the student concluded that soil type A was more effective that soil type B.
Is this a valid conclusion?
Yes, because the leaves were randomly assigned, this evenly distributed the variability in the leaves; therefore, type A soil is more effective than type B soil.
Yes, because the amount of water and light were controlled, this may have reduced the variability in the response; therefore, type A soil is more effective than type B soil.
No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth.
No, because only African violets were used, replication was not properly implemented; therefore, we cannot conclude that type A soil was more effective.
Answers
Answer:
C
Step-by-step explanation:
No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth. Option C is correct.
Given that,
A statement is given we have to justify which among the option is the correct reason.
The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
The pots with type A soil received more light because they were closer to the window, which may have resulted in new growth.
So, the valid conclusion is mentioned in option C.
Thus, Option C is correct.
Learn more about Statistics here:
https://brainly.com/question/23091366
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In △ABC, D∈AB so that AD:DB=1:3. If ACDB=18m2. Find AACD and AABC
Answers
Answer:
I really do not know sorry I just need points
Peter needs 20 meters of wood for his backyard. The nursery only sells
wood by the foot. Which is closest to the number of feet of wood Peter
needs?
1 meter = 3.28 feet
A 66 feet
B 6 feet
C. 17 feet
D. 60 feet
Answers
Answer:
A
Step-by-step explanation: 20 x 3.28 is 65.6 round it up its 66
A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel).
Find P(S-name U Boy).
Answers
Answer: P(S-name U Boy) = [tex]\dfrac58[/tex]
Step-by-step explanation:
Given: A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel)
To find : P(S-name U Boy) i.e. Probability of selecting a person whose name starting with S or boy.
n(S-name U Boy) = 5 {2 girls (Sarah, Suzie), 3 boys( Kevin, Steve and Samuel )}
Now, P(S-name U Boy) = [tex]=\dfrac{\text{n(S-nam e} \cup\text{ Boy}}{\text{Total persons in the club}}[/tex]
[tex]=\dfrac{5}{5+3}\\\\=\dfrac{5}{8}[/tex]
Hence, P(S-name U Boy) = [tex]\dfrac58[/tex]
Witch expression converts 100 inches per minute to feet per minute
Answers
The weighted voting systems for the voters A, B, C, ... are given in the form q: w1, w2, w3, w4, ..., wn . The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on. Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If not possible, enter IMPOSSIBLE.) {76: 52, 39, 31, 25, 9}
Answers
Answer:
Banzhaf power index for each voter
Voter A = 3/4 = 0.75
Voter B = 0/4 = impossible
Voter C = 1/4 = 0.25
Step-by-step explanation:
using the Banzhaf power index for each voter
{76: 52, 39, 31, 25, 9}
Voter A = 52
Voter B = 39
Voter C = 31
Voter D = 25
Voter E = 9
lets calculate the Banzhaf power index for Voters A to C
A B = 52 + 39 ≥ 76
B C = 39 + 31 ≤ 76
A C = 52 + 31 ≥ 76
A B C = 52 + 39 + 31 ≥ 76
Lets consider critical
A B : A is critical because without A the sum < 76
B C : B is not critical because without B the sum is still < 76
A C : C is critical because without C the sum < 76
A B C : A is critical as B + C < 76
B is not critical as A + C ≥ 76
C is not critical as A + B ≥ 76
Number of times critical : For A = 3, For B = 0 , For C = 1
Banzhaf power index for each voter
Voter A = 3/4 = 0.75
Voter B = 0/4 = impossible
Voter C = 1/4 = 0.25