The blue figure is a dialation image of the black figure. The labeled point is the center of dilation. Tell wheaten the dilation is a enlargement or a reduction. Then find the scale factor of dilation
Answers
The dilation's scale factor will be 1/4.
The division method is used to divide a bunch of items into equal portions.
Division is the inverse of multiplication. For instance, dividing 20 by 2 means dividing 20 into two equal groups of ten.
Given this,
The blue figure is a magnified version of the black one.
Furthermore, the origin is the center of dilatation.
Now,
Because the blue figure is a dilatation of the black one.
Furthermore, the origin is the center of dilatation.
In this case, the length of the black figure equals 16 units.
Furthermore, the length of the blue figure equals 4 units.
As a result, the dilation scale factor is 4/16.
= 1/4
Related Questions
Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%. Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%. If no other transactions are made, who will have more money in their account after 10 years? How much more?
Answers
Answer:
Lori will make $27.00 more.
Step-by-step explanation:
The formula to calculate simple interest is
A = P(1+rt)
P = Principal amount
r = rate of interest ( in decimal )
t = time
First we calculate Darryl's deposit, so put the values in the formula
A = 1,500(1 + 0.027×10)
A = 1,500 ( 1+0.27 )
A = 1,500 × 1.27
A = $1905
Now we will calculate Lori's deposit
A = 1,400 ( 1 + 0.038 × 10 )
A = 1,400 ( 1 + 0.38 )
A = 1,400 × 1.38
A = $1,932
Lori will make money after 10 years = $1,932
Darryl will make money after 10 years = $1905
so Lori will make more than Darryl, the difference will be = 1,932 - 1,905 = $27
After 10 years Lori will have make $27.00 more in their account.
Answer:
$27
Step-by-step explanation:
plez give brainliest
If bill rides his bike 3 miles to Fred's house and then walks with Fred the remaining 1 mile to school, it will take him 30 minutes. But if he rides the entire distance, it will take him only 20 minutes. what is his walking and biking speed?
Answers
Final answer:
Bill's biking speed is 12 mph and his walking speed is 4 mph. We find the biking speed from the 20-minute ride distance and solve for the walking speed using the time difference in the 30-minute trip.
Explanation:
The student is asking about calculating walking and biking speeds based on different times to cover distances. To solve this, we'll use the information that Bill takes 30 minutes to ride 3 miles and then walk 1 mile, but only 20 minutes to ride the entire 4 miles to school.
First, we want to find the speed for each part of the trip when Bill takes 30 minutes. Since we know the total time and distances, we can set up two equations using the relationship speed = distance / time. Let's define biking speed as 'b' and walking speed as 'w'.
For the 30-minute trip:
3 miles / b + 1 mile / w = 0.5 hours
For the 20-minute, all biking trip:
4 miles / b = (1/3) hours
From the second equation, we find that b = 4 miles / (1/3 hour) = 12 mph. Substitute 'b' in the first equation:
3 miles / 12 mph + 1 mile / w = 0.5 hours
1/4 hour + 1 mile / w = 0.5 hours
To solve for 'w', we'll subtract the bike time from the total time:
1 mile / w = 0.5 hours - 1/4 hour
1 mile / w = 1/4 hour
So, the walking speed 'w' is 1 mile / (1/4 hour) = 4 mph.
Therefore, Bill's biking speed is 12 mph, and his walking speed is 4 mph.
Which statement about the figure below is true?
Select one:
a. Points A, B, and E are not collinear.
b. Points C, F, B, and E are coplanar.
c. Points F, B, and C are collinear.
d. Points C, D, B, and F are coplanar.
Answers
The angles of triangle abc are in the ratio of 8:3:4. what is the maesure of the smallest angle
Answers
Melanie bought 3 adult tickets and 1 children ticket for $38. John bought 3 adult tickets and 2 children tickets for $52. What is the cost of each type of ticket
Answers
Then 3x +y = $38
3x+2y =$52, solving simultaneously
we subtract the two equation,
-y = -14
thus; y =14
to get x we substitute y with 14
3x = 38-14
3x =24
x =8
Therefore, the cost of 1 adult ticket is $8 while the cost of children ticket is $14
Question 5 (3 points) The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars. Company A: y = 0.75x Company B: y = 10 + 0.50x How many bars would the team need to purchase from each company in order for the total cost to be equal?
Answers
In order to find this amount we have to find when the y values are worth the same. Since both equations are equal to y, we can set them equal to each other to find a time when the y values are the same.
Company A = Company B
.75x = 10 + .50x ---> Now subtract .50x from both sides.
.25x = 10 ---> Now divide both sides by .25
x = 40
When x = 40 it will cost $30 from both companies.
the answer is 40 bars hope it helps
The explicit rule for a sequence is given.
an=−2n+7
What is the recursive rule for the sequence?
a1=7; an=an−1+2
a1=5; an=an−1−2
a1=−2; an=an−1+7
a1=7; an=an−1−2
Answers
an = -2n +7
means that the value of a1 can be found from
a1 = -2*1 +7
a1 = 5
Only one of the choices matches this condition: the correct one.
The 2nd selection is appropriate.
_____
If you want to actually work the problem, you find a[1] as above. Then, consider
.. a[n+1] = -2*(n+1) +7
.. = (-2n +7) -2 . . . . . . note the stuff in parentheses matches the definition of a[n]
.. = a[n] -2
This is also true for the previous pair of terms:
.. a[n] = a[n -1] -2
So, now you have
.. a[1] = 5
.. a[n] = a[n-1] -2
which matches the second selection.
The recursive rule is: [tex]\(a_1 = 7\); \(a_n = a_{n-1} - 2\)[/tex]. The correct option is D.
Sure, here's the step-by-step solution:
1. Start with the explicit rule for the sequence: [tex]\(a_n = -2n + 7\)[/tex].
2. To find the recursive rule, we need to express [tex]\(a_n\)[/tex] in terms of [tex]\(a_{n-1}\)[/tex], the previous term in the sequence.
3. Replace [tex]\(n\)[/tex] in the explicit rule with [tex]\(n-1\)[/tex] to represent the previous term:
[tex]\[a_{n-1} = -2(n-1) + 7\][/tex]
[tex]\[a_{n-1} = -2n + 2 + 7\][/tex]
[tex]\[a_{n-1} = -2n + 9\][/tex]
4. Since [tex]\(a_n = a_{n-1} - 2\)[/tex], substitute the expression for [tex]\(a_{n-1}\)[/tex] from step 3 into the recursive rule:
[tex]\[a_n = (-2n + 9) - 2\][/tex]
[tex]\[a_n = -2n + 9 - 2\][/tex]
[tex]\[a_n = -2n + 7\][/tex]
So, the recursive rule is [tex]\(a_1 = 7\); \(a_n = a_{n-1} - 2\)[/tex]. Therefore, the correct answer is D.
The correct question is:
The explicit rule for a sequence is given.
an=−2n+7
What is the recursive rule for the sequence?
A. a1=7; an=an−1+2
B. a1=5; an=an−1−2
C. a1=−2; an=an−1+7
D. a1=7; an=an−1−2
Let f(x)=4x^2+5.
The g(x) is f(x) translated up 4 units.
What is the equation of g(x)
Answers
g(x) = 4x^2 + 5 + 4
g(x) = 4x^2 + 9
Which statement decribes the behavior of the function mc010-1.jpg? If you cannot see the Image the function is f(x)= 3x/4-x.
The graph approaches –3 as x approaches infinity.
The graph approaches 0 as x approaches infinity.
The graph approaches 3 as x approaches infinity.
The graph approaches 4 as x approaches infinity.
Answers
Answer: The graph approaches -3 as x approaches infinity will be the correct option which describes the behavior of the function.
Explanation:
Given Function: f(x)= [tex]\frac{3x}{4-x}[/tex]
Now, we divide numerator and denominator by x and we get,
⇒ [tex]f(x)= \frac{3}{4/x-1}[/tex]
If x approaches to infinity.
Therefore, [tex]\lim_{x\rightarrow \infty}f(x)[/tex]
then [tex] f(x)\rightarrow -3[/tex]
Thus, we can say f(x) approaches -3 as x approaches infinity
Answer:
-3
Step-by-step explanation:
Kendra has $ 7.75 $7.75 in nickels and quarters. if she has 13 13 more quarters than nickels, how many of each coin does she have?
Answers
13 more quarters than nickels
15 nickels = $0.75
28 quarters = $7.00
28 - 15 = 13 coins
$7.00 + $0.75 = $7.75
She has 15 nickels and 28 quarters.
Setting up a system of equations, we find that there is an error in the problem or the information provided.
Explanation:Let's set up a system of equations to solve this problem.
Let's say the number of nickels is x and the number of quarters is y. From the information given in the problem, we can set up two equations:
x + y = 7.75 (since the total value of the coins is $7.75)y = x + 13 (since there are 13 more quarters than nickels)Now we can solve this system of equations. Substituting the second equation into the first equation, we get:
x + (x + 13) = 7.75
Simplifying the equation, we get:
2x + 13 = 7.75
Subtracting 13 from both sides, we have:
2x = -5.25
Dividing both sides by 2, we find:
x = -2.625
Since we can't have a negative number of coins, there must be an error in the problem or the information provided.
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How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor? 2 × (7.5 + 15) 3 × (5 + 10) 5 × (3 + 6) 15 × (1 + 2)
Answers
The sum of 15+30 = 45 and can be expressed as a multiple of prime factors:
(3^2)5
So (15+30) could be expressed as 9*5, but it can not be expressed as a non-repeating multiple of prime factors.
Write 3 16/25 as a percent. PLEASE HELP WILL GIVE MEDAL.
Answers
First step to solve this is to convert this mixed fraction into improper fraction. To convert this, you need to multiply the denominator to the whole number then add the numerator. The result would be the numerator of the improper fraction. The denominator is the same:
(25 x 3) + 16 = 91
Therefore, the improper fraction is 91/25. To change this to percentage, you need to divide the numerator with the denominator and multiply by 100.
91/25 = 3.64 x 100 = 364%
What is the number of possible outcomes if two quarters are tossed and the total numbers of heads and tails are counted?
A) 2
B) 3
C) 4
D) 6
Answers
Answer:
B
Step-by-step explanation:
TT two tails/no heads
TH one tail/one head
HT
HH two heads/no tails
The number of possible outcomes if two quarters are tossed and the total numbers of heads and tails are counted is 8.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
Since there are number of possibility as;
TT two tails/no heads
TH one tail/one head
HTand HH two heads/no tails
Each quarter will come up heads or tails which is 2 possibilities.
Thus for three tosses the number of outcomes is 2 x 2 x 2 = 8.
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Which of the following is equal to sqrt 50a^6b^7
Answers
To simplify [tex] \sqrt{50 a^{6} b^{7} } [/tex] we use the following identity: for positive values of a and b, [tex] \sqrt{ab}= \sqrt{a} \sqrt{b} [/tex]
That identity allows us to re-write what we are given as [tex] \sqrt{50} \sqrt{ a^6 } \sqrt{b^{7} [/tex]. Let us now consider each of these separately.
Though 50 is not a perfect square it can be written as 25 x 2 and 25 is a perfect square. Thus, we obtain [tex] \sqrt{50}= \sqrt{25} \sqrt{2}=5 \sqrt{2} [/tex]
Next we consider [tex] a^{6} [/tex] which is a perfect square as it is equal to [tex] (a^{3}) (a^{3}) [/tex]. Thus, [tex] \sqrt{a^{6}} = a^{3} [/tex]
Lastly, we consider [tex] b^{7} [/tex] which can be written as [tex](b^{1})( b^{6}) [/tex] and since [tex] b^{6} [/tex] is a perfect square we obtain the following: [tex] \sqrt{b ^{7} } =\sqrt{b ^{1}} \sqrt{b^6} = b^{3} \sqrt{b} [/tex]
Putting that all together we obtain [tex]\sqrt{50 a^{6} b^{7} }=25a ^{3}b ^{3} \sqrt{2b} [/tex]
David is filling five 3/4 quart bottles with a sports drink.His measuring cup only holds 1/4 quart.How many times will David need to fill tje measuring cup in order to fill the 5 bottels
Answers
The condition of the car and its mileage are important variables to consider when making a decision to buy a used car.
true or false?
Answers
that is true
have a nice day
is the correct answer...................:)
If and , find .
A.
B.
C.
D.
Answers
Explanation:
1) polynomials given:
f(x) = x/2 - 2 and g(x) = 2x^2 + x - 3
2) question: find (f + g) (x)
That means that f(x) + g(x), so you have to add up the two polynomials given.
3) x/2 - 2 + 2x^2 + x - 3
4) Combine like terms:
a) terms with x^2: you only have 2x^2, so it is not combined with other term.
b) terms with x: x/2 + x
that is a sum of fractions: x/2 + x = [x + 2x] / 2 = 3x / 2 = (3/2)x
c) constant terms: - 2 + (-3) = - 2 - 3 = - 5
5) Result: 2x^2 + (3/2)x - 5
That is the option d.
Solve the system of equations using the substitution method.
{4x+5y=7
{y=3x+9
Enter your answers in the boxes.
x=
y=
Answers
4x+15x+45=7
19x=7-45
19x = -38
[tex] \frac{19x}{19} = \frac{ - 38}{19} [/tex]
x= -2
y=3(-2)+9
y=-6+9
y= 3
The value of x is 2 and value of y is 3 in the system of equation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The system of equations are 4x+5y=7
y=3x+9
We have to find the value of x and y by substitution method in system of equation
Substitute the value of y in first equation
4x+5(3x+9)=7
4x+15x+45=7
Add the like terms
19x+45=7
Subtract 45 on both sides
19x=7-45
19x=-38
Divide both sides by 19
x=-2
Now plug in x value
y=3(-2)+9
y=3
Hence, the value of x is 2 and value of y is 3 in the system of equation.
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can someone explain how to do this question and how to solve problems like this?
Answers
There are two components to this question:
(A) People that are certain
(B) People who believe the balloon will shrink
----------------------------------------------------------
Focus on aspect (A) for now. So that means highlight the values in the "certain" row, which is row 1. Add up these values: 9+8+6 = 17+6 = 23. There are 23 people who are certain.
Now move onto aspect (B). Highlight the "shrink" column which is column 1. Add up the values: 9+4 = 13. There are 13 people who believe it will shrink.
There are 23+13 = 36 people who either (A) are certain or (B) believe it will shrink and 9 who fit both (A) and (B). Subtract out these 9 because they are double-counted. So we go from 36 to 36-9 = 27
Overall there are 27 people that either are certain, believe the balloon will shrink, or fit both categories.
This is out of 38 students total (add up all the values shown in the table).
Divide those two values: 27/38
We reduce if possible. In this case, we cannot reduce as 27 and 38 have no common factors
----------------------------------------------------------
----------------------------------------------------------
The final answer is the fraction 27/38
Jane earns $7.50 an hour and time-and-a-half for overtime. How
much does she earn for a 43.5-hour week?
a. $300
b. $363.50
c. $333.75
d. $339.38
ANSWER ASAP AND GET BRAINEST
(answer not c)
Answers
Answer:
339.375 choose d
Step-by-step explanation:
Regular work 40 hours and 3.5 overtime hours
Overtime wage is 1.5 times the regular one
40×7.5+3.5×7.5×1.5=339.375
(05.07) A square pyramid is shown. What is the surface area?
A square based pyramid, with bases labeled 1.5 centimeters and side length of triangle labeled 3 centimeters.
6.75 cm2
11.25 cm2
20.25 cm2
81.75 cm2
Answers
The area of the base is 1.5 × 1.5 = 2.25 cm²
The slant height of each triangle, s is 3 cm
The area of the triangles = 1/2 × 1.5 × 3 × 4
= 9 cm²
Therefore, the area of the pyramid
=9 +2.25
= 11.25 cm²
Answer:
11.25 cm2 would be your answer.
An amusement park charges an admission fee of 50 dollars for each person. let c be the cost (in dollars) of admission for p people. write an equation relating c to p . then use this equation to find the cost of admission for 17 people.
Answers
Answer : C=50*17=850
The equation relating the cost of admission (c) to the number of people (p) is c = 50 * p. For 17 people, the total cost is c = 50 * 17, which equals $850.
To write an equation relating c to p, we set c, the cost of admission for p people, equal to the admission fee per person multiplied by the number of people. Given that the admission fee per person is $50, the equation is:
c = 50 * p
Using this equation to find the cost of admission for 17 people:
c = 50 * 17
c = $850
Therefore, the cost of admission for 17 people is $850.
a) Using theorems pertaining to transverals and parallel lines, prove that m∠1 + m∠2 = 180o
b) Find the value of x.
Answers
b) Since <1 and <2 are supplementary, they add up to 180°. Therefore, <1 + <2 = 180:
(20x+5) + (24x-1) = 180
44x + 4 = 180
44x + 4 -4 = 180-4
44x = 176
44x/44 = 176/44
x = 4
For the given set of parallel lines l and m, the value of x is equal to 4.
Explanation:According to the question,
l ║ m
As per the theorem pertaining to transversal and parallel lines,
∠1 and ∠2 are supplementary if and only if they are interior angles.
m∠1 + m∠2 = 180° _____(1)
Here, ∠1 = 20x + 5
∠2 = 24x - 1
Substitute the value ∠1 and ∠2 in (1), we get
20x + 5 +24x - 1 = 180°
44x + 4 = 180°
44x = 176
x = 4
Hence, for the given set of parallel lines l and m, the value of x = 4.
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Angela used multiplication to simplify the expression by distributing the
1
2
through the parentheses.
Angela's expression:
1
2
(6X + 2)
Simplified expression: 3x + 2
Which statement is true of Angela’s work?
She correctly distributed the mc001-1.jpg through the parentheses.
Division, rather than multiplication, is the operation to use when distributing.
Angela needed to multiply mc001-2.jpg by each of the terms inside the parentheses.
Her product when multiplying mc001-3.jpg is incorrect.
Answers
Answer:
Angela needed to multiply [tex]\frac{1}{2}[/tex] by each of the terms inside the parentheses.
Her product when multiplying [tex]\frac{1}{2} X 2[/tex] is incorrect.
Step-by-step explanation:
For simplifying the expression [tex]\frac{1}{2}(3x+2)[/tex], we need to multiply [tex]\frac{1}{2}[/tex] by each of the terms inside the parentheses.
So,
Upon multiplying [tex]\frac{1}{2}[/tex] by 6X we get 3X.
Upon multiplying [tex]\frac{1}{2}[/tex] by 2 we get 1.
Thus the final simplified expression must be 3x+1
So we can say,
Angela needed to multiply [tex]\frac{1}{2}[/tex] by each of the terms inside the parentheses.
Her product when multiplying [tex]\frac{1}{2} X 2[/tex] is incorrect.
Angela attempted to use the distributive property to simplify the expression 1/2 (6X + 2), but while she correctly simplified 1/2 * 6X to 3X, she incorrectly simplified 1/2 * 2 as 2, instead of 1. Therefore, her method was correct, but the computation was incorrect.
Explanation:In mathematics, the Distributive Property is used to simplify expressions like the one Angela has used - 1/2 (6X + 2). In order to distribute correctly, Angela should perform the operation of multiplication for each term inside the parentheses by the 1/2 outside the parentheses. Therefore, it should look like this: (1/2 * 6X) + (1/2 * 2). This will simplify to 3X + 1. The issue with Angela's work was that, while she correctly simplified 1/2 * 6X to 3X, she incorrectly simplified 1/2 * 2 as 2, instead of the correct 1 value. Therefore, the correct statement about Angela's work is "Her product when multiplying is incorrect".
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A restaurant owner spends 892 for 65 pounds of produce. Which equation could you use to find the price per pound
Answers
Suppose that it takes Jenny 2 hours to wax a car if she works alone and it takes Carol 4 hours to wax the same car if she works alone. How long will it take them to wax the car, in hours, if they work together?
Answers
Calvin and Alvin together take approximately 1.875 hours, or 1 hour and 52.5 minutes, to wax a car.
To find out how long it takes Calvin and Alvin to wax a car together, we can use the formula for working together:
[tex]\[\frac{1}{T} = \frac{1}{T_1} + \frac{1}{T_2}\][/tex]
Where:
-[tex]\( T \)[/tex] is the time taken when working together,
- [tex]\( T_1 \)[/tex] is the time taken by Calvin alone, and
- [tex]\( T_2 \)[/tex] is the time taken by Alvin alone.
Given:
- Calvin takes 3 hours to wax a car alone, so [tex]\( T_1 = 3 \)[/tex] hours,
- Alvin takes 5 hours to wax a car alone, so [tex]\( T_2 = 5 \)[/tex] hours.
Substitute the values into the formula:
[tex]\[\frac{1}{T} = \frac{1}{3} + \frac{1}{5}\][/tex]
To solve for T, first find a common denominator:
[tex]\[\frac{1}{T} = \frac{5}{15} + \frac{3}{15} = \frac{8}{15}\][/tex]
Now, invert both sides of the equation to isolate T:
[tex]\[T = \frac{15}{8} \text{ hours} \approx 1.875 \text{ hours}\][/tex]
So, it takes Calvin and Alvin approximately 1.875 hours, or 1 hour and 52.5 minutes, to wax a car together.
The Correct Question is :
Suppose that it takes Calvin 3 hours to wax a car if he works alone and it takes Alvin 5 hours to wax a car if he works alone.
How long does it take them to wax a car if they work together? Write an equation and solve for the unknown.
Show your work.
Intr-un top de hartie sunt 26 de coli de matematica 15 coli de dictando si 30 de coli de hartie alba. care este probabilteata ca extragand la intamplare o coala ea sa fie de matematica?
Answers
A pair of shoes costs three times as much as a scarf. The total cost of 1 pair of shoes and 1 scarf is $32. If s represents the cost of 1 scarf, which equation could you use to find the cost of 1 scarf?
Answers
I did it on TTM and it was correct ^^
Answer:
3s+s=32
Step-by-step explanation:
A vaccine has 90% probability of being effective in preventing a certain disease. the probability of getting the disease if the person is not vaccinated is 50%. in certain geographic region, 25% of the people get vaccinated. if a person is selected at random , find the probability that he or she will contract the disease
Answers
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease.
Add these together for the total: 0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
Answer:
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease. Add these together for the total: 0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
The lower base of the frustum shown in the figure is a square 8 ft on each side. The upper base is a square 4 ft on each side. If the altitude is 6 ft, find the slant height. A. 6 ft B. 5.66 ft C. 6.32 ft D. 4 ft
Answers
the answer is the option C 6.32 ft
this answer is based on the fact that the inclined height should be greater than 6 and that is the only option available