Answer:
2.45.250- 94.750
= 92. 2975. this is the learners who got the admission
Answer:
1,50,500 students
Step-by-step explanation:
Hope this helps... vote as brainliest
2826666667×(〖1,06〗^n-1)=800000000
(〖1,06〗^n-1)=0,283
〖1,06〗^n=1,283
〖log(1,06)〗^(n )=log( 1,283)
nlog(〖1,06)〗^n=log(1,283)
Answer:
Step-by-step explanation:
If ∠P measures 27°, ∠R measures 135°, and r equals 9.5, then which length can be found using the Law of Sines?
p
r
PQ
PR
Answer:
p
Step-by-step explanation:
p/sin27 = 9.5/sin135
p = sin27 * 9.5/sin135
Answer:
p
Step-by-step explanation:
Triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 and centered at point A. Is triangle ABC congruent to triangle A'B'C'? Explain your answer.
Answer:
See below
Step-by-step explanation:
Congruent means having the same size and shape.
If triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 then the two triangles will not acquire the same size
This is because when a shape undergoes a dilation the dilated image is either larger or smaller and can therefore not maintain the same size as the pre image. Hence the triangles are not congruent.
Triangle ABC is not congruent to triangle A'B'C'
How to determine the congruent statement?The triangles are given as:
Triangle ABC and A'B'C'
The other parameters are:
Scale factor, k = 1/2
Center = Point A
Since the scale factor is not 1, then the triangles would not be congruent; but they would be similar
Hence, triangle ABC is not congruent to triangle A'B'C'
Read more about dilation at:
https://brainly.com/question/9791066
Amanda buye a book for $7.85. If the tax added on to the price lis $0.75 how much will the book cost in total? What if Amanda donates SLSO to the Love of Reading Foundation? How will thie affect the total coet of the book? (Hint: there is no tax added on to the donation). Estimate what the total cost will be and then check your answer.
Answer:
$8.60 I don't know what SLSO means
Step-by-step explanation:
What is the distance between [(3 + 4i) + (2 - 3i)] and (9 - 2i)?
Answer:
5
Step-by-step explanation:
(3 + 4i) + (2 - 3i) = 3 + 4i + 2 - 3i = 5 + i
distance between (5 + i) and (9 - 2i) is the difference between them. and difference means subtraction.
(9 - 2i) - (5 + i) = 9 - 2i - 5 - i = 4 - 3i
and since we are looking for a distance, we are looking for the absolute value of that subtraction.
after all, we could have done the subtraction also in the other direction
(5 + i) - (9 - 2i) = -4 + 3i
and this must be the same distance.
|(-4 + 3i)| = |(4 - 3i)|
and that is done by calculating the distance of any of these 2 points from (0,0) on the coordinate grid of complex numbers.
|(a +bi)| = sqrt(a² + b²)
in our case here
distance = sqrt(4² + (-3)²) = sqrt(16 + 9) = sqrt(25) = 5
as you can easily see, this is (as expected) the same for the result of the subtraction in the other direction :
sqrt((-4)² + 3²) = sqrt(16+9) = sqrt(25) = 5
The sum of the first 8 terms of a geometric sequence with 4 as the first term and a common ratio of 3 is
9514 1404 393
Answer:
13120
Step-by-step explanation:
The sum of terms of a geometric series is ...
Sn = a1·(r^n -1)/(r -1)
You have n=8, a1=4, r=3, so the sum is ...
S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120
Answer:
13 120Step-by-step explanation:
hope it helps u too
F=16,V=12,E=□ by euler's formula
Answer:
26
Step-by-step explanation:
F + V = E + 2
Where,
F = number of faces = 16
V = number of vertices = 12
E = number of edges = ?
F + V = E + 2
16 + 12 = E + 2
28 = E + 2
28 - 2 = E
26 = E
E = 26
E = number of edges = 26
Over what interval is the quadratic function decreasing?
x ∈ (−∞,−2)
x ∈ (-2,−∞)*******
x ∈ (-2, ∞)
x ∈ (−∞,3)
Answer:
x ∈ (-2,−∞)
Step-by-step explanation:
x ∈ (-2,−∞)
this is the answer to the question
One canned juice drink is 15% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 10 L that is 10% orange juice?
Please help!
Answer:
9 liters of 15% orange juice and 1 liter of 5 % orange juice
Step-by-step explanation:
In AUVW, W = 840 cm, u = 350 cm and ZV=63º. Find the area of AUVW, to the
nearest square centimeter.
Answer:
[tex]Area = 130977cm^2[/tex]
Step-by-step explanation:
Given
[tex]W=840[/tex]
[tex]U = 350[/tex]
[tex]\angle V = 63^o[/tex]
Required
The area
The area is calculated as:
[tex]Area = \frac{1}{2}UW\sin(V)[/tex]
So, we have:
[tex]Area = \frac{1}{2}*350*840*\sin(63^o)[/tex]
[tex]Area = \frac{1}{2}*350*840*0.8910[/tex]
[tex]Area = 130977cm^2[/tex]
The west side soccer league has 186 players. They expect a 7.5% increase in players for at least the next 4 years. How many players will they have at that point?
Answer:
They will have 200 players at that point.
Step-by-step explanation:
7.5% increase
This means that the amount will be 100% + 7.5% = 107.5% = 1.075 of the original amount, that is, the original amount multiplied by 1.075.
Currently has 186 players. How many players will they have at that point?
186*1.075 = 199.95
Rounding up:
They will have 200 players at that point.
If using the method of completing the square to solve the quadratic equation x^2-14x+30=0, which number would have to be added to "complete the square"?
Answer:
we add 49
Step-by-step explanation:
the answer is in the above image
Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answer should be written as a mixed number.
Answer:
Sum = 15 8/15, Difference = 1 2/15
Step-by-step explanation:
8⅓, 71/5
A. Sum
8⅓ + 7 1/5
Convert to improper fraction
25/3 + 36/5
Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:
[(25×5) + (36×3)] / 15
[125 + 108] / 15
233 / 15
Convert to mixed fraction
15 8/15
B. Difference
8⅓ – 7 1/5
Convert to improper fraction
25/3 – 36/5
Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:
[(25×5) – (36×3)] / 15
[125 – 108] / 15
17 / 15
Convert to mixed fraction
1 2/15
SUMMARY:
Sum = 15 8/15, Difference = 1 2/15
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 59 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean µ = 59 tons and standard deviation σ = 1.9 ton.a) What is the probability that one car chosen at random will have less than 49.5 tons of coal? b) What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal?
Answer:
b) What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal? (Round your answer to four decimal places.)
Step-by-step explanation:
Beth corbin's regular hourly wage are is $16,and she receives an hourly rate of $24 for work in excess of 40 hours. During a January pay period,Beth works 45 hours. Beth's federal income tax withholding is $95, she has no voluntary deductions, and the FICA tax rate is 7.65%. Compute Beth corbi's gross earnings and net pay for the pay period
Answer:
$760 gross
$614.13 is net
Step-by-step explanation:
Beth earns $16 x 40 for the first 40 hours she works.
Then she earns overtime--> 5 hours at $24 per hour
Her "gross" earnings are before any deductions or taxes.
So 16x40 = 640 and 5x24= 120 so her January gross earnings are 640+120=
$760 gross
Her "net" pay is what is left over after taxes.
So take the $760 and subtract the $95 withholding = $665
Taxes are 7.65% so multiply 665 x 0.0765 = 50.8725 and subtract that also.
614.1275 rounded to $614.13 is net.
Mr. Ahmed sold his motorcycle to Mr. Saad at a loss of 28%. Mr.Saad spent Rs.1680 on its repairs and sold the motorcycle to Mr. Faiz for Rs.35910, thereby making a profit of 12.5%. Find the cost price of the motorcycle for Mr. Ahmed.
Answer:
Rs. 42000
Step-by-step explanation:
Let us assume that Mr. Ahmed bought the bicycle for Rs. x, and sold it for Rs. y to Mr. Saad. Since he made a loss of 28%, hence:
y = x - 0.28x = 0.72x
Mr. Saad spent Rs.1680 on its repairs, therefore the total cost price of the motorcycle = 0.72x + 1680
He then sold it for Rs.35910 making a profit of 12.5%. Therefore:
0.72x + 1680 + [0.125(0.72x + 1680)] = 35910
0.81x + 1890 = 35910
0.81x = 34020
x = Rs. 42000
Therefore the cost price of the motorcycle for Mr. Ahmed is Rs. 42000
2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method.
Answer:
The zeros are 1 and 2
Step-by-step explanation:
Given
[tex]y =x^2 - 3x + 2[/tex]
Required
The zeros
[tex]y =x^2 - 3x + 2[/tex]
Expand
[tex]y =x^2 - 2x-x + 2[/tex]
Factorize
[tex]y =x(x - 2)-1(x - 2)[/tex]
Factor out x - 2
[tex]y =(x - 1)(x - 2)[/tex]
Set to 0
[tex](x - 1)(x - 2)=0[/tex]
Solve for x
[tex]x - 1 = 0 \to x =1[/tex]
[tex]x - 2 = 0 \to x =2[/tex]
Hence, the zeros are 1 and 2
What is the range for any polynomial function with an odd degree? Why?
Answer:
All real numbers
[tex]( - \infty . + \infty )[/tex]
Step-by-step explanation:
because the domain is R and range depends of domain and it also depends on the leading coefficient
for example f(x) = x^3+1
the range is
[tex]y \geqslant 1[/tex]
x²-10xy + 16y²-z² + 6yz
Answer:
(x - 8y + z)(x - 2y - z)
Step-by-step explanation:
Factorize :
x²-10xy + 16y²-z² + 6yz
Solution:
x²-10xy + 16y²-z² + 6yz
Firstly, make sure that all the terms are arranged in a well ordered manner:
x²-10xy + 16y²-z² + 6yz
Secondly, split the term (16y²) common to both equation:
(x²-10xy + 25y²) - 9y² -z² + 6yz
Thirdly, factorize both terms:
(x - 5y)² - 1(z² - 6yz + 9y²)
Factorizing the second term:
(x - 5y)² - (z - 3y)²
Using the difference of two squares, that is A² - B² = (A + B)(A - B):
(x - 5y)² - (z - 3y)² = [(x - 5y) + (z - 3y)][(x - 5y) - (z - 3y)]
= [x - 5y + z - 3y][x - 5y - z + 3y]
= (x - 8y + z)(x - 2y - z)
GUIDE QUESTIONS:
1. What is the idea or theme of the play?
2. How do you feel after watching the performance?
3. Does the integration of musical sound, songs, dialogue, and dance affect the
overall mood of the play?
Answer:
1.sowwy I dunno
2.its so good and it's perfect
3.i dunno ulet hehe
Step-by-step explanation:
Sorry walang matino na sagot.
Use Simpson’s Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare your answer with the value of the integral produced by your calculator.
Answer:
The answer is "7.248934".
Step-by-step explanation:
The area of the curve obtained after rotating it about the x-axis is :
[tex]2 \pi \int^2_1 y \sqrt{1+ \{ \frac{dy}{dx}\}^2 \ dx}\\\\y=x\ \ln \ x \ And \ \frac{dy}{dx}=1+ \lh\ x[/tex]
So, The area of the curve obtained after rotating it about the x-axis is : [tex]2 \pi \int^2_1 (x \ln \ x) \sqrt{(\ln\ x)^2+ 2 \ln \ x+ 2\ dx}\\\\[/tex]
Simpson's rule approximation with n=10 is:
[tex](\frac{1}{3})\times (0.1) \times ( f(1) + 4 \times f(1.1) + 2\times f(1.2) + 4 \times f(1.3) + 2 \times f(1.4) + 4 \times f(1.5) + 2 \times f(1.6) + 4 \times f(1.7) + 2 \times f(1.8) + 4 \times f(1.9) + f(2) ) = 7.248933= 7.248934[/tex]
can anyone help???????????
Given:
The distance between the two buildings on a map = 14 cm
The scale is 1:35000.
To find:
The actual distance in km.
Solution:
The scale is 1:35000.
It means 1 cm on map = 35000 cm in actual.
Using this conversion, we get
14 cm on map = [tex]14\times 35000[/tex] cm in actual.
= [tex]490000[/tex] cm in actual.
= [tex]4.9\times 1000o0[/tex] cm in actual.
= [tex]4.9[/tex] km in actual. [tex][1\text{ km}=100000\text{ cm}][/tex]
Therefore, the actual distance between two buildings is 4.9 km.
A sports trainer has monthly costs of $80 for phone service and $40 for his website and advertising. In addition he pays a $15 fee to the gym for each session in which he works with a client.
Required:
a. Write a function representing the average cost
b. Find the number of sessions the trainer needs if he wants the average cost to drop below $16 per session.
Answer:
Step-by-step explanation:
The average cost for the training session provided he is a sports trainer can be computed as follows:
Let's assume that;
average cost = C(x)
the no. of session = x
Then:
[tex]C(x) = \dfrac{\text{Total cost}}{\text{no. \ of sessions}}[/tex]
[tex]C(x) = \dfrac{\text{80 + 40 + 15x}}{\text{x}}[/tex]
[tex]C(x) = \dfrac{\text{120+ 15x}}{\text{x}}[/tex]
Now, suppose the trainer wants the average cost C(x) to drop below $16;
Then, we have the following function:
[tex]\dfrac{120+15x}{x}\leq C(x)[/tex]
[tex]\dfrac{120+15x}{x}\leq16[/tex]
By cross multiply:
120 + 15x ≤ 16x
120 ≤ 16x - 15x
120 ≤ x
Therefore, the required no. of session, if the average cost should drop below $16, is 120.
Following are the solution to the required points:
Assuming that he's also a sports trainer, the typical cost of such a training program is just as follows:Total cost = C(x)
Total session = x
Then:
[tex]\to C(x)=\frac{\text{Total cost}}{\text{Total sessions}}=\frac{80+40+15x}{x}= \frac{120+15x}{x}[/tex]
Assume the trainer desires that the average cost C(x) be less than $16. So function is therefore available:[tex]\to \frac{120+15x}{x} \leq C(x)\\\\\to \frac{120+15x}{x} \leq 16\\\\[/tex]
By cross multiply:
[tex]\to 120 + 15x \leq 16x\\\\\to 120 \leq 16x - 15x\\\\ \to 120 \leq x[/tex]
As a result, if the average cost drops below $16, the required number of sessions is 120.
Learn more:
brainly.com/question/24859268
find the surface area of the composite figure
Answer:
276 cm^2
Step-by-step explanation:
Separate figure into triangular and rectangular prisms.
SA of triangular prism (finding each area of a face and add them all up)
4 x 5 = 20 cm^2
13 x 4 = 52 cm^2
1/2 x 12 x 5 = 30 cm^2
1/2 x 12 x 5 = 30 cm^2
20 + 52 + 30 + 30 = 132 cm^2
SA of triangular prism is 132 cm^2
SA of rectangular prism (do the same thing):
12 x 4 = 48 cm^2
12 x 3 = 36 cm^2
12 x 3 = 36 cm^2
3 x 4 = 12 cm^2
3 x 4 = 12 cm^2
48 + 36 +36 + 12 + 12 = 144
Add the SA OF BOTH PRISMS:
144 + 132 = 276 cm^2
*An Old man bought a goat for R60us and sold it for R70. Then Bought it back for R80us and sold it for R90us .Whats the profit he made ?*
A. R10
B. R20
C. R0
D. R-20
Answer:
20
Step-by-step explanation:
(90+70)-(80+60)=20
just minus the total selling price to the total cost price
Answer these please!!!
Answer:
(upper left) 3 triangles
(upper right) 5 triangles
(lower left) 9 rectangles
(lower right) next pattern is a grid that is 8 by 8.
The pattern is the previous side multiplied by 2
first block is 1x1
second block is 2x2
third block is 4x4
next block would be 8x8
Step-by-step explanation:
What is the reciprocal of tanB in the triangle below?
Right triangle A B C is shown. C is the right angle and side A B is the hypotenuse.
tanC
tanA
tan-1C
tan-1A
Answer:
Tan A
Step-by-step explanation:
Tan B = opposite / Adjacent = AC / BC
Reciprocal of Tan B = 1 ÷ Tan B
1 ÷ Tan B = 1 ÷ AC/BC = 1 * BC / AC = BC / AC
Reciprocal of Tan B = BC / AC
the reciprocal of tan B is equivalent to :
Tan A = opposite / Adjacent = BC / AC
Hence, the reciprocal of Tan B is Tan A
Answer:
Note: Images are not in order. Check page number on pictures to make sure you have the right Answer.
Have a Good Day! God bless!
Step-by-step explanation:
Question 6 “A”
Question 7 “D”
Question 8 “B”
Question 9 “B”
Question 10 “A”
Note: Answers From 1 to 5 in order here:
Question 1 “ B”
Question 2 “A”
Question 3 “B”
Question 4 “D”
Question 5 “D”
One number is two greater than another—the product of the numbers 1s 143. Find the numbers. One pair of numbers, both of which are positive, is _____
Answer:
11 and 13
Step-by-step explanation:
The square root of 144 is 12 so the numbers must be close to that
since one number is two greater go up 1 and down 1 from 12
12 - 1 = 11
12 + 1 = 13
11 * 13 = 143
Find the value of y for a given value of x, if y varies directly with x. If y = 0.15 when x = 1.5, what is y when x = 6.3? a. –0.63 b. 0.63 c. 63 d. –63 Please select the best answer from the choices provided A B C D
Answer:
b
Step-by-step explanation:
I believe its b, because1.5 is 10 times 0.15
and 6.3 is 10 times 0.63
Use the following rules/intervals: Function 1: (-∞, -5) Function 2: [-5, 0) Function 3: [0,5) Function 4: [5, ∞) If the function is undefined over a given interval then pick another function and include an explanation as to why the original function did not work. Make one of the functions linear, one of the functions square root, one of the functions absolute value, and the last function either exponential, quadratic or square root (one that you will be able to graph).
Answer:
67.87
Step-by-step explanation: