To form the vector notation for the translation:
--> must find how much the new graph moved horizontally from the old
graph
--> the graph moved 8 units horizontally
--> must find how much the new graph moved vertically from the old
graph
--> the graph moved 4 units vertically
In vector notation, that would be (8,4)
Hope that helps!
Set of six numbers has an average of 42. When three of this numbers were removed the remaining three numbers had an average of 72. What was the sum of the removed numbers?
Answer: 36
Step-by-step explanation:
From the question, we are informed that six numbers has an average of 42. This means that the total number will be equal to:
= 42 × 6
= 252
When three of this numbers were removed the remaining three numbers had an average of 72. The total of this will be:
= 72 × 3
= 216
The sum of the removed numbers will be the difference between the two numbers above. This will be:
= 252 - 216
= 36
Please help me solve this
Answer:
Answer is attached below. Hope it helps!
Blaise bought a used car for $3,250. He added a turbocharger that cost t dollars and a new air intake manifold that cost $178, bringing the total cost to $3,587. This situation can be represented by the equation $3,250 + $178 + t = $3,587. How much did the turbocharger cost?
Answer:
t = $159
Step-by-step explanation:
3587-3250-178 = t
t = 159
When sister has a checking account with the account balance ever falls below zero the bank charges her via $5.95 per day today found the balance in Lynn sisters account is -$2.67 if she does not make any deposits or withdrawals what will be the balance in your account after two days
Answer:
$-14.57
Step-by-step explanation:
the account is already below the zero limit, so for each day the account is below the required balance, there would be a charge of $5.95
After 2 days, the charge would be = $5.95 x 2 = $11.90
So, she would have to pay $11.90
Because she would be paying $11.90, there would be a negative sign in front of the amount
Total balance = $-11.90 -2.67 = $-14.57
2 Jalina left her home at 1000 to cycle to a park
On her way to the park, she stopped at a fhend's house and then continued her journey to
Here is the distance-time graph for her journey to the park
the park
25
20
15
Distance from
home (km)
10
1000
1100
1200
1300
1400
1500
Time
(a) On her journey to the park, did Jalina cycle fister
Answer:
Time
Step-by-step explanation:
What's (-7)+9 Ps. This is adding integers
Answer:
Step-by-step explanation:
When two integers are in different sign, subtract and the result will have the bigger number sign
-7 + 9 = 2
Subtract and the 9 is the bigger number and its sign is +. So, the result is = +2 or 2
What is the base if the rate is 16.3% and the portion is 457?
Solution
Step 1
Rate = (Portion/Base)*100%
Step 2
Rate = 16.3
Portion B = 4557
Let x reoresent the early
\(\begin{gathered} 16.3\text{ = }\frac{457}{x}\text{ }\times100 \\ \\ x\text{ = }\frac{457}{16.3}\text{ }\times\text{ 100\%} \\ \\ x\text{ = 2804} \\ \end{gathered}\)
2 29. A man travels from Town A to Town B at an average speed of 4 km/h and from Town B to Town A at an average speed of 6km/h. He takes 45 mins to complete the whole journey. Using the algebraic method only, find the distance between Town A and Town B.
Step-by-step explanation:
distance divided by rate = time
d / (4 km/hr) + d/ (6 km/hr) = .75 hr (.75 is 45 minutes)
d/4 + d/6 = .75
3d/12 + 2d/12 = .75
5d = 12 * .75
5d = 9
d = 9/5 km = 1 4/5 km = 1.8 km
find the mean of number of books read
The mean of number of students who read fictional books is 4.32.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
Given that, the summary of fictional books read by 37 students.
Total number of students =37
Sum =4(2)+10(3)+13(4)+10(7)
= 8+30+52+70
= 160
Now, mean =160/37
= 4.32
Therefore, the mean of number of books read by students is 4.32.
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number 19 very much need the answer please
Answer:
D not possible.........
Can someone please help me with this :(
Answer:
1=B
Step-by-step explanation:
Find the slope of a line Perpendicular to the line containing the points (12,-8) and (5,-4)
Answer: The answer is B 7/4
Step-by-step explanation:
A truck traveling at 35 mph has a leaky radiator that is
losing 4 fluid ounces per minute. How many miles
will the truck travel before the radiator, which held
480 fluid ounces when it began to leak, is empty?
F. 13.7
G. 17.5
H. 35.0
J. 70.0
K. 120.0
Divide total ounces by the leakage rate to find total minutes it will take to empty:
480 / 4 = 120 minutes
1 hour = 60 minutes, so 120 minutes = 2 hours.
35 mph x 2 hours = 70 miles total.
The answer is J. 70
(2x+5)(x-4)=0 in standard form and value of a,b, and c
hi
A = (2x+5)(x-4)=0
A = 2x²-8x +5x-20
A = 2x² -3x -20
as a quadratic equation is : ax² +bx +c
then a = 2 ; b = -3 and c = -20
Answer:
a = 2 ; b = -3 ; c = -20
Step-by- step explanation:
Use FOIL method.
(2x + 5)(x - 4) = 0
2x*x+ 2x*(-4 )+ 5*x + 5* (-4) = 0
2x² - 8x + 5x - 20 =0
Combine like terms,
2x² - 3x - 20 = 0
Standard form: ax² + bx + x = 0
a = 2
b = -3
c = -20
I WILL GIVE YOU BRAINLY CROWN PLS HELP
A movie theater sells two sizes of popcorn, large and small, in bags shaped like rectangular prisms. The small bag has a height of 5.5 inches, a length of 5 inches, and a width of 3 inches. The large bag has the same width and length as the small bag, but two times the volume. What is the height of the large bag of popcorn?
the solution is:
u should at the first find the volume of the small bag that V= LWH ( Lenght, width, height)
so it will be 82.5
since the Volume of the large bag is 2 times the volume of the small bag so the volume of large bag will be 165
so H = V / LW
H = 165 / 5×3
H = 165 / 15
So the Answer is H = 11
Complete the square x²-1/4x+
Use the formula \((\frac{b}{2})^2\) in order to create a new term to complete the square.
Solution:
\((x-\frac{1}{8})^2 -\frac{1}{64}\)
Hope this helps!
A population of paramecium in a test tube is at 300. The test tube has a carrying capacity of 500. If the paramecia have an r max = .45 per week, what will be the population growth for 1 week? What will be the new paramecium population after the week?
the new paramecium population after one week will be 354.
What is exponential?
The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
r_max = 0.45 per week
N = 300
K = 500
Plugging these values into the logistic growth model, we get:
dN/dt = 0.45 * 300 * (500 - 300) / 500
dN/dt = 0.45 * 300 * 0.4
dN/dt = 54
So the paramecium population will grow by 54 individuals in one week.
To find the new population size after one week, we simply add the growth to the initial population:
N_new = N + dN/dt
N_new = 300 + 54
N_new = 354
Therefore, the new paramecium population after one week will be 354.
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Someone please explain, it's most of my homework! I already did half the problem! Ellie bought 5 cups of apple juice and 7 sandwiches for $25.00. Jim bought 2 cups of apple juice and 3 sandwiches for $10.50. How much did each cup of apple juice cost? How much did each sandwich cost. I set up the equations 5a+7s=25 and 2a+3s=10.5. How do I solve them?
Answer:
5 cups of apple juice and 7 sandwiches for a total of 25 bucks Jim bought 2 cups of apple juice and 3 sandwiches for $10.50Now we must form some sort of equation for the following: (1) 5a+7s=25(2) 2a +3s =10.5Let us isolate for one variable 3s= 10.5-2a s= 3.5 -2/3a Plug that into (1)5a + 7 (3.5 -2/3a) = 25 a=1.5 Hence each apple juice cost 1.5 Now we can plug that into (2) to solve for the sandwich costs= 3.5- 2/3(1.5) s=2.5 Rate positively and give brainlistFind the value of
5³
(3/2)³
(-1/2)³
\(\huge\boxed{\underline{\bf \: Answer}}\)
(1) Value of 5³
\( \sf{5}^{3} \\ = \sf5 \times 5 \times 5 \\ = \boxed{\bf 125}\)
(2) Value of (3/2)³
\( \sf( { \frac{3}{2} })^{3} \\ \sf = \frac{ {3}^{3} }{ {2}^{3} } \\ \sf= \frac{3 \times 3 \times 3}{2 \times 2 \times 2} \\ = \boxed{ \bf \frac{27}{8} }\)
=> The answer in decimal format is \(\boxed{\underline{\bf \: 3.375}}\)
(3) Value of (-1/2)³
\( \sf( \frac{ - 1}{2} ) ^{3} \\ = \sf \frac{ { - 1}^{3} }{ {2}^{3} } \\ \sf = \frac{ - 1 \times - 1 \times - 1}{2 \times 2 \times 2} \\ = \boxed{ \bf \frac{ - 1}{8} }\)
=> The answer in decimal format is \(\boxed{\underline{\bf \: -0.125}}\)
_______
Hope it helps.
RainbowSalt2222
Suppose that when the temperature is between 35 and 50 degrees, it has historically rained 40% of the time. Also, historically, the month of April has had a temperature between 35 and 50 degrees on 25 days. You have scheduled a golf tournament for April 12. What is the probability that players will experience rain and a temperature between 35 and 50 degrees
Given that when the temperature is between 35 and 50 degrees, it has historically rained 40% of the time. Also, historically, the month of April has had a temperature between 35 and 50 degrees on 25 days.
To find the probability that players will experience rain and a temperature between 35 and 50 degrees on April 12th, we will have to use the concept of conditional probability.
Conditional Probability is the probability of an event occurring given that another event has already occurred. Conditional Probability Formula: P(A|B) = P(A ∩ B) / P(B) where, P(A|B) is the probability of A given B,P(A ∩ B) is the probability of A and B, and P(B) is the probability of B.
Since the temperature between 35 and 50 degrees has historically rained 40% of the time, we can say that P(Rain | Temperature 35-50) = 0.4
Also, the probability of temperature between 35 and 50 degrees on April 12th can be calculated as P(Temperature 35-50) = 25 / 30 (as April has 30 days) = 5/6.
Using the conditional probability formula: P(Rain and Temperature 35-50) = P(Rain | Temperature 35-50) × P(Temperature 35-50)P(Rain and Temperature 35-50) = 0.4 × 5/6P(Rain and Temperature 35-50) = 0.3333 or 33.33%.
Therefore, the probability that players will experience rain and a temperature between 35 and 50 degrees on April 12th is 0.3333 or 33.33%.
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45 boys and 90 girls are taking Choir this year at Travis Middle School. 20% of the students enrolled have secured solos. How many students have secured solos?
Answer: 27 students
Step-by-step explanation:
First take 45 + 90 = 135 students total
20% = 0.2
Then take 135 times 0.2 = 27 students
What is the solution set to the equation x^2+6x+3=0
Answer:
That is a quadratic equation in which
a = 1
b = 6
c = 3
The quadratic formula is:
x = [-b +- sqr root (b^2 -4*a*c)] / 2*a
x = [-6 +- sqr root (36 -4 * 1 * 3)] / 2
x1 = [-6 + sqr root (24)] / 2
x2 = [-6 - sqr root (24)] / 2
Step-by-step explanation:
I need help with this
Answer:
x = 27
Step-by-step explanation:
this problem is similar to a scale drawing where we can set up a proportion:
'x' is to 5 as 162 is to 30
x/5 = 162/30
cross-multiply:
30x = 810
x = 810/30
x = 27
Answer:
x=27
Step-by-step explanation:
*BRAINIEST & 25 POINTS*
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Answer:
thank u so much dost pls give me extra free point Pls mark as a brilliant pls dost
a sample of 4 different calculators is randomly selected from a group containing 20 that are defective and 29 that have no defects. what is the probability that at least one of the calculators is defective?
The probability that at least one of the four selected calculators is defective is approximately 0.7775, or 77.75%.
To find the probability that at least one of the selected calculators is defective, we can use the concept of complementary probability. We calculate the probability of none of the selected calculators being defective and subtract it from 1.
The total number of calculators in the group is 20 (defective) + 29 (no defects) = 49 calculators.
The probability of selecting a non-defective calculator in one draw is 29/49. Therefore, the probability of selecting four non-defective calculators in a row is (29/49)^4.
To find the probability of at least one defective calculator, we subtract the probability of none being defective from 1:
P(at least one defective) = 1 - P(none defective)
= 1 - (29/49)^4
Using this formula, we can calculate the probability.
P(at least one defective) ≈ 1 - (29/49)^4 ≈ 1 - 0.2225 ≈ 0.7775
Therefore, the probability that at least one of the four selected calculators is defective is approximately 0.7775, or 77.75%.
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1.Which answer below represents the
line 5y= 15x+ 10 in the form "y= mx +
c" .
1. 5y= 3x + 2
2.y= 3x + 2
3.y= 5x + 2
O4.y= 3x + 5
Please help very confusing
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Here,
\( \cos(Z) = \dfrac{side \: \: adjacent \: \: to \: \:Z }{hypotenuse} \)that is ~
\(\cos(Z) = \dfrac{12}{20} \)cosine ratio of Z = cos Z.
cos Z = adjacent side of angle Z (base) / Hypotenuse
cos Z = 12/20 = 6/10 = 3/5.
______
Hope it helps!
RainbowSalt2222 ☔
please help asap
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 4/5 for the flowers to last the longest. Her cylinder vase has a radius of 4 inches and a height of 6 inches. How much water should Mary pour into the vase?
Answer:
Step-by-step explanation:
πr^2h=π·42·6≈301.59289
Simplify 4/5 to .8
Multiply 301.59289 by 0.8 to get 241.274312]
Sorry for the messy format in in school rn.
what is $20.00 take away $4.60
0.367 + 3.633 i have no clue im failing 5th grade and not smart XDDDDD
Answer:
The answer is 4.
Step-by-step explanation:
Have a great day. :)
Okay, I'm failing too but I'm in a higher grade the answer is 4