Given the coordinates of the points A, B, and C:
\(\begin{gathered} A=(6,4) \\ B=(-2,0) \\ C=(-4,2) \end{gathered}\)And now, the coordinates of R, S, and T:
\(\begin{gathered} R=(2,3) \\ S=(0,-1) \\ T=(1,-2) \end{gathered}\)The triangles are:
As we can see, the dilation factor can be determined using the sides of the triangles. The sides BC and ST are similar, and ST is half the length of BC. The same is true for RT ~ AC and RS ~ AB. Then, the dilation factor k is:
\(k=\frac{1}{2}\)Now, looking at BC and ST are reflected from quadrant II to quadrant IV. Then, we conclude that the reflection is about the line:
\(y=x\)Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f?
Answer:
The correct answer is this graph
Step-by-step explanation:
I just took the test #plato
Answer: the answer is C, but make sure the C has the the line crossing on 0 and -1
Step-by-step explanation:
Took Test om Plato.
Subtract.
7 1/5−(−3/5)
Enter your answer in the box as mixed number in simplest form.
Answer:
7 4/5
Step-by-step explanation:
when you subtract, keep the first value then change subtract to addition and, finally, change the sign of the second value
this problem, 7 1/5 -(-3/5) is the same as this addition problem:
7 1/5 + 3/5
this equals 7 4/5
Find the surface area of this rectangular prism. Be sure
2 cm
2 cm
9 cm
Answer: 80 cm^3
Step-by-step explanation:
I assume you mean that the sides of the rectangular prism are of lengths 2cm, 2cm, and 9 cm.
Surface area of a rectangular prism: 2(wl+hl+hw)
2((2*2)+(9*2)+(9*2))
=2(4+18+18)
=2(40)
=80cm^3
Hope this helped.
Evaluate the logarithmic expression without using a calculator. Answer exactly. log 2 ( 1/16 ) + 4 =
\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)
\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)
Alfred has twelve coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.15. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
Please don't answer unless you know the answer.
-A rectangle tank has a length of 3m a breadth of 2m and a height of 8m what volume of water in the tank is half full
Answer:
24 \(m^{3}\)
Step-by-step explanation:
Volume=l*b*h
as tank is half full so height of water will be 4m
and Voulme will be,
V=3*2*4=24 \(m^{3}\)
while capacity of tank is,
V=3*2*8=48 \(m^{3}\)
The volume of water in the tank, when it is half full, is 24 cubic meters.
What is volume?Volume in mathematics and physics refers to how much three-dimensional space is occupied by a substance or an object. It is a measurement of the overall volume of space contained inside a three-dimensional object's limits.
The volume of the rectangular tank is given by the formula:
V = l x b x h
where l is the length, b is the breadth, and h is the height of the tank.
Substituting the given values, we get:
V = 3m x 2m x 8m = 48 cubic meters
If the tank is half full, then the volume of water in the tank is:
Vw = (1/2) * V = (1/2) x 48 = 24 cubic meters
Therefore, the volume of water in the tank when it is half full is 24 cubic meters.
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Ruby, Joey and sully are baking cookies together. they need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies. Ruby brought 2 cups of flour and 1/4 cup of butter, Joey brought 1 cup of flour and 1/2 cup of butter, sully brought 1 1/4 cups of flour and 3/4 cup of butter. if the students have plenty of other ingredients that they need. how many whole batches of a dozen cookies can they make.
Answer:
4
Step-by-step explanation:
Amounts needed for 1 batch of 1 dozen cookies:
3/4 cup flour
1/3 cup butter
It's easier to create a table with all amounts to find the total amount of flour and total amount of butter available.
Ruby Joey Sully Total
Flour 2 1 1 1/4 4 1/4
Butter 1/4 1/2 3/4 1 1/2
The table above shows the total amount of flour is 4 1/4 cups, and the total amount of butter is 1 1/2 cups.
Flour:
Amount available: 4 1/4 cups
Amount needed for 1 batch: 3/4 cup
(4 1/4 cups)/(3/4 cup) = 17/4 * 4/3 = 17/3 = 5 2/3
The amount of flour is enough for 5 2/3 batches.
This makes 5 full batches.
Butter:
Amount available: 1 1/2 cups
Amount needed for 1 batch: 1/3 cup
(1 1/2 cups)/(1/3 cup) = 3/2 * 3/1 = 9/2 = 4 1/2
The amount of flour is enough for 4 1/2 batches.
This makes 4 full batches.
The amount of flour is enough for 5 batches, but the amount of butter is enough for only 4 batches, so the greatest number of whole batches they can make is 4.
PLEASE HELP! DUE SOON (also include the check if you can) *I’ll give brainiest*
Answer:
x=24
Step-by-step explanation:
0.22(x+6)=0.2x+1.8
simplify the given equation
0.22x+1.32=0.2x+1.8
shift same kind of variables on one side
0.22x-0.2x=1.8-1.32
0.02x=0.48
For x
x=0.48/0.02
x=24
Check:
For checking subsitute the calculated value x if both sides of x are equal then its true...
0.22(24+6)=0.2(24)+1.8
5.28+1.32=4.8+1.8
6.6=6.6
Mrs. Jones decided to buy some pencils for her class. She bought 5 packages of pencils, and each package contained 42 pencils. There are 14 students in her class and she divided up the pencils so that each student had the same amount of pencils. If there were no pencils left over, how many pencils did each student get?
A.
15
B.
19
C.
3
D.
70
Answer:42x5=210/14=15
Step-by-step explanation:Each student would get 15 pencils
Answer:
A
Step-by-step explanation:
First you gotta do 42×5 to get the total amount, which is 210.
Then after all you gotta do is divide 210 by the number of students, which is 14.
Then bam, you got your answer, which is 15 (✯ᴗ✯) !!
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Banu will build a fence around a rectangular
30-foot-by-25-foot play area. Given that fencing costs
$4.05 per foot, how much will the fencing cost for
Banu to completely surround the play area?
Answer:
A
Step-by-step explanation:
Dimension of the rectangular fence:
Length = 30 ft
Width = 25 ft
Perimeter of the rectangular fence = 2(L + W)
= 2(30 + 25) = 2(55)
Perimeter = 110 ft
Fencing cost per foot = $4.05
Fencing cost for 110 ft = 110 × 4.05 = $445.50
1. Find the greatest number of 4-digits which is exactly divisible by each of 2,3,4,5,6 and 7.
Answer:
Step-by-step explanation:
The number which is divisible by 2, 3, 4, 5 and 6 will also be divisible by LCM of 2, 3, 4, 5 and 6. Let us divide 9999 by 60 and find the remainder, Remainder after dividing 9999 by 60 is 39. Therefore, the largest number which is divisible by these numbers should be 39 less than 9999.
Please awnser asap I will brainlist
They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
Can you help me please
Answer:
2
Step-by-step explanation:
Answer:
2 more cups
Step-by-step explanation:
This is the answer because:
1) Convert each fraction to an improper fraction.
5 1/5 = 26/5
3 1/5 = 16/5
2) Now, just subtract 26/5 and 16/5
26/5 - 16/5 = 10/5
3) 10/5 equals 2, therefore, the answer is 2
10/5 = 2
Hope this helps!
Use the fact that 1 square mile=640 acres to find the area of a property that measures 7 hectares is for sale.
a. How large is the property in acres?
b. If the property is selling for $150,000, what is the price per acre?
Answer:
a) The property has 17.3 acres.
b) The price per acre is of $8,670.5.
Step-by-step explanation:
The questions are solved by proportions, using a rule of three.
a. How large is the property in acres?
Each hectare has 2.47105 acres.
So 7 hectares will have:
7*2.47105 = 17.3.
The property has 17.3 acres.
b. If the property is selling for $150,000, what is the price per acre?
17.3 acres for $150,000. So
150000/17.3 = $8,670.5.
The price per acre is of $8,670.5.
I NEED HELP WITH THIS QUESTION!!!
Answer:84%
Step-by-step explanation:because of the process of elimanation
Carmen ran 3/4 of a mile and walked 2/3 of a mile. How much farther did Carmen run than walk?
Answer:
Carmen ran \(\frac{1}{12} \) mile more than she walked.
Find the length of segment LM.
Answer:
5 I think l to n is 10,so it will be half of it
Isabel will only consume chocolate bars and glasses of milk in a ratio of 3-to-1, meaning whenever she has 3 chocolate bars, she also has 1 glass of milk. 2nd attempt Isabel currently has 6 chocolate bars and 2 glasses of milk. Determine whether the bundles shown below would be equally preferred, more preferred, or less preferred than what Isabel currently has. Items (5 items) (Drag and drop into the appropriate area below) More Preferred Less Preferred Equally Preferred (9 chocolate bars, 1 glass of milk) (6 chocolate bars, 3 glasses of milk) (9 chocolate bars, 3 glasses of milk) (3 chocolate bars, 2 glasses of milk) (9 chocolate bars, 2 glasses of milk)
The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).
The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.
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Read carefully and choose the name of the student who made the correct statement.
Answer:
Rosie is correct
Step-by-step explanation:
can i get brainliest
Answer:
Rosie
Step-by-step explanation:
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Pls answer number 2 I’ll give brainliest thank youu!
Answer:
$4.40
Explanation:
8/100 = 0.08
55*0.08 = 4.4
please help !!!!!!!!!
Explanation:
The triangles can be shown congruent by showing either of an angle or side is congruent in addition to the side marked in the diagram. We choose to show angles A and B are congruent by showing ΔCAD ≅ ΔCBD.
Statement . . . . Reason
CD⊥AB, AD≅BD, DE⊥CA, DF⊥CB . . . . given
CD≅CD . . . . reflexive property of congruence
ΔCDA ≅ ΔCDB . . . . LL congruence postulate
∠A≅∠B . . . . CPCTC
ΔADE ≅ ΔBDF . . . . HA congruence postulate
Suppose the die has been “loaded” so that P(1)=1∕12, P(6)=3∕12, and the remaining four outcomes are equally likely with one another. Now find the probability that the number rolled is both even and greater than two
The "loading" of the die makes P(1)=112, P(6)=312, and the following four outcomes equally likely. A roll with an even number larger than two has a 50% probability of occurring.
The probability of rolling an even number is 1/2 since there are three even numbers (2, 4, 6) and six possible outcomes in total.
The probability of rolling a number greater than two is 5/6 since there are five outcomes (3, 4, 5, 6) greater than two and six possible outcomes in total.
To find the probability that the number rolled is both even and greater than two, we need to find the probability of rolling a 4 or a 6 since these are even numbers that are greater than two.
The probability of rolling a 4 is P(4) = 1/12 + 1/6 = 1/4 since the die is loaded to favour a 6 over the other numbers, but all other outcomes are equally likely.
The probability of rolling a 6 is P(6) = 3/12 = 1/4 since the probability of rolling a 6 is given as 3/12.
Therefore, the probability of rolling an even number that is greater than two is:
P(even and greater than two) = P(4 or 6) = P(4) + P(6) = 1/4 + 1/4 = 1/2.
So the probability of rolling an even number that is greater than two is 1/2.
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How do I write five times the quantity of a number and 3 is 50
Answer:
\({ \boxed{5(x+3) = 50}}\)
Step-by-step explanation:
let the number be x :
\(5 \times (x+4) = 50 \\ 5(x+4) = 50\)
further more :
\(x+4= 10 \\ x = 6\)
Answer:
5x4x3=50
Step-by-step explanation:
The school cafeteria is thinking of introducing a vegetarian pizza to the menu. Which
sampling technique would you recommend to determine which of three possible
toppings should be used? Explain your recommendation. [C -2]
4.
I recommend use of simple random sampling to determine the three possible toppings to be used for the vegetarian pizza.
What is simple random sampling suitable?It is a sampling technique in which each member of the population has an equal chance of being selected for the sample. Here, the population would be students who regularly eat at the school cafeteria.
By using the sampling, we make sure that each student has an equal chance of being selected to taste test the different pizza toppings. This will help to eliminate bias and provide a representative sample of the population's preferences. They will provide feedback which will be used to determine which topping should be used for the vegetarian pizza.
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I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Point M(4, 3) is translated according to the rule (x, y) = (x + 2, y-5). What are the coordinates of M?A. (2-2)B. (6,8)C. (2,8)D. (6,-2)
Explanation
when you have a pair ordered, the independent vaiable (x) comes first, and then the dependent variable
\((x,y)\)now, to apply the rule,
\((x+2,y-5)\)we need to add 2 to the x coordinate and subtract 5 in y coordinate,so
apply the rule
\(undefined\)
Answer:
6,-2
Step-by-step explanation:
Indicate the method you would use to prove the triangles congruent. If no
method applies, enter "none."
O SSS
k O SAS
O ASA
© None
Step-by-step explanation:
I suspect we don't see the full information for the problem here.
all listed 3 methods are typically used to prove that triangles are congruent (= when turned to have the same orientation, they would simply cover each other completely - no overhanging parts from either triangle).
I guess there is a diagram with 2 triangles and what is known about them.
and since we cannot see them, we cannot tell you which method would apply here.
just remember
SSS means all 3 sides of one triangle are exactly the same as the 3 sides of the other triangle. if you know the lengths of all 3 sides, there is only one triangle you can create. you can only orient it differently.
SAS means two sides and the enclosed angle are the same. again, only one triangle can be created with that information.
ASA means one side and the 2 angles at the end points of that side are known. again, only one triangle can be created with that information.