18).
Find mZBCA.
B
(5x + 12)
[.
(9x + 1)
А
(10x – 37)°
Answer:
m∡BCA = 57°
Step-by-step explanation:
find 'x' by adding all expressions and setting them equal to 360°
9x+1 + tx+12 + 10x-37 = 360
24x = 384
x = 16
Substitute 16 into 10x-37
160 - 37 = 123
m∡BCA is supplemental with 123°, therefore it measures 57°
Find the area of the shape
Answer:
158
Step-by-step explanation:
Solve the following quadratic equation.
(1 - 18)2 = 1
OA
x = 19 and x = 17
OB.
x= -19 and x = .17
OC. x= -19 and x = 17
D.
x = 19 and x=-17
Given:
Consider the given equation is
[tex](x-18)^2=1[/tex]
To find:
The values of x.
Solution:
We have,
[tex](x-18)^2=1[/tex]
Taking square root on both sides, we get
[tex]x-18=\pm\sqrt{1}[/tex]
[tex]x-18=\pm 1[/tex]
Adding 18 on both sides, we get
[tex]x-18+18=\pm 1+18[/tex]
[tex]x=\pm 1+18[/tex]
Now,
[tex]x=1+18[/tex] and [tex]x=-1+18[/tex]
[tex]x=19[/tex] and [tex]x=17[/tex]
Therefore, the correct option is A.
How many moles contain 1.25x 10^15 molecules of glucose
Answer:
i.e. mass of 1 mole of glucose, C6H12O6 = (6 × 12.01 + 12 × 1.01 + 6 × 16.00) g = 180.18 g (using atomic weight data to 2 decimals) 1 mole of carbon atoms weighs 12.01 g and there are 6 moles of C atoms in 1 mole of glucose, so the mass of carbon in 1 mole of glucose = 6 × 12.01 g = 72.06 g.
Step-by-step explanation:
write 2 paragraphs using function notation
Answer:
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Step-by-step explanation:
A tree casts a shadow 31 feet long when the angle of
elevation of the sun is 58º. Find the height of the tree.
Answer:
x=24.2198542
ROUND IF NEEDED
Step-by-step explanation:
We are trying to find the height of the tree or the vertical side
We are given
The angle of elevation or the angle at the ground ,38The horizontal length, 31.Since we have a side that is adjacent to that angle and we are trying find backside that us opposite of that angle
we are going to use tangent
[tex] \tan(x) = \frac{opp}{adj} [/tex]
plug 38 in for x or theta, x for opp side and 31 for adjacent side
[tex] \tan(38) = \frac{x}{31} [/tex]
Multiply 31 by both sides to find x
x=24.2198542
ROUND IF NEEDED.
Approximately 45% of films are rated R if 850 films were recently rated how many were rated R
Answer:
382.5?????
Step-by-step explanation:
because 850×45% its that
A community centre organises a raffle to raise money for charity
There is one prize to be won
Daniel buys 17 raffle tickets.
A total of 280 tickets were sold
What’s the probability that Daniel does not win the prize
Answer:
263 / 280
Step-by-step explanation:
Given that :
Number of tickets bought = required outcome = 17
Total number of raffle = total possible outcomes = 280
Probability = required outcome / Total possible outcomes
P(winning) = 17 / 280
P(not winning) = 1 - 17/ 280
= 263 / 280
(3x+3)^2+(x+5)(x-4)
someone help thankyou
A circle has a radius of 9 cm.
Work out the area of the circle.
Give your answer in terms of pi.
Radius = 9cm
So,
Area of circle = πr²
= π(9)²
= π × 81 cm²
= 81π cm²
Answer:
254.469 cm
Step-by-step explanation:
area = πr^2
π × 81 = 254.469005 rounded to 254.469 cm
in other terms, 81π cm^2
a) Change 9 out of 50 to a percentage
18%
How much is 9 out of 50 written as a percent value? Convert fraction (ratio) 9 / 50
1) 12. 1 7 round to the nearest whole number
Answer:
12
Step-by-step explanation:
12.3 would be rounded uo but since it's a whole number it would be 12.
Kiera ordered a set of brown and green pins. She received 63 brown pins and 27 green pins. What
percentage of the pins were brown?
Answer:
Step-by-step explanation:
27
Two exponential functions, fand g, are shown in the figure below, where g is a transformation of f.
Y
4
f
2
X
2
4
- 2
9
2
Which of the rules given below shows the transformation of f?
OA g(x) = f(x) - 4
O B. g(x) = fx-4)
OC.
g(x) = f(x + 4)
OD. g(x) = f(x) + 4
Answer:
A.) g (x) = f (x) - 2
Step-by-step explanation:
The first thing we are going to do in this case is to take into account the following definition.
Translations are transformations that change the position of the graph of a function.
The general shape of the graph of a function is moved up, down, to the right or to the left.
The translations are considered rigid transformations. Now we will see how these are performed.
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
Using the definition we conclude that:
g (x) = f (x) - 4
Two exponential functions, fand g, are shown in the figure, where g is a transformation of f, g (x) = f (x) - 4 equation shows transformation of f. The correct option is A.
What is exponential function?A mathematical function of the form [tex]f(x) = a^x[/tex], where an is a positive constant and x is the input variable, is an exponential function.
The characteristic curve of exponential functions rises or falls rapidly depending on whether an is greater or less than 1.
To determine the transformation of f which gives g, we need to examine how f has been transformed to obtain g.
Looking at the graph, we can see that g is a vertical shift of f. Specifically, g is obtained by shifting f downward by 2 units. Therefore, we need a rule that subtracts 2 from f (x) to get g (x).
Out of the given options, the only one that matches this description is:
g (x) = f (x) - 4
Option A subtracts 4 from f (x), which is not what we observe in the graph. Option B uses an incorrect format and is also subtracting 4 from f (x).
Option C adds 4 to x, which would result in a horizontal shift, not a vertical shift.
Therefore, the correct answer is A g (x) = f (x) - 2.
For more details regarding exponential function, visit:
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An appliance is for sale at either (a) P15,999 cash or (b) on terms, P1,499 each month for the next 12 months. Money is 9% compounded monthly. Which is lower, the cash price or the present value of the installment terms? Explain.
Answer:
Cash price
Step-by-step explanation:
The computation is shown below:
The Interest rate per month (r) = (9% ÷ 12) = 0.75%
Now Present value of the monthly payment is
= PMT × {[(1 + rate of interest)^number of years - 1] ÷ rate of interest}
= 1,499 × {[(1 + 0.75%)^12 - 1] ÷ 0.75%}
= 18,748.89
And the cash price is 15,999
So, the cash price would be lower
The cash price would be lower. A further explanation is below.
According to the question,
Interest rate per month,
[tex]r = \frac{9 \ percent}{12}[/tex]
[tex]= 0.75[/tex] (%)
hence,
The Present value of the monthly payment will be:
= [tex]PMT\times \frac{{(1 + Interest \ rate)^{number \ of \ years} - 1}}{Interest \ rate}[/tex]
= [tex]1499\times \frac{[(1 + 0.75 \ percent)^{12} - 1] }{0.75 \ percent}[/tex]
= [tex]18748.89[/tex]
As we can see that the cash price is 15,999. Thus the above answer is right.
Learn more:
https://brainly.com/question/4187682
help please? im giving brainliest for best answer
hat is the slope and y-intercept of the linear function?
y = -8x + 2
Answer:
-8
Step-by-step explanation:
Okay so in y=mx+b equations like this one, m is the slope, so whatever number before x is the slope
Use trigonometric ratios to solve the right triangle. Pls Help
A storé is offering a 20% discount on all items. Write an equation for the relationship between the discount price of an item, d, and its original price, p.
HELP THANK S
Answer:
There are many ways you can write this as an equation:
[tex]d=p-20 %[/tex]%
[tex]d=.8p[/tex]
[tex]d=p-.2p[/tex]
Find the exact value of the expression: -6 3/5 - (-7 4/15) + 2 1/5
plzzzzzzzzz
Answer:
2 13/15
43/15
Step-by-step explanation:
Plzzzz brainlest I swear
Answer: 8
Step-by-step explanation: on the left chain, there are 5 4’s, so 4 times 5 is 20 Because you know that, subtract it from 60 to only have the W’s values. So 60-20 is 40 and because there is 5 w’s do 40/5 is 8. Therefore, the value of the w’s is 8 and the value of the 4’s is 20
Answer:
1024.
Step-by-step explanation:
4x4x4x4x4= 1024
I hope this is correct and I hope this helps. My apologies if it´s wrong.
Marvin has 2 rabbits. The number of rabbits triples
every year. Marvin needs 100 pounds of food to feed
one rabbit per year. How many pounds of food will
Marvin need to feed his rabbits during the third year?
Select one:
o
900
O
1200
600
1800
Answer:
1800
Step-by-step explanation:
Answer:
1800 pounds
Step-by-step explanation:
1st year: 2 rabbits
2nd year: 6 rabbits
3rd year: 18 rabbits
18 x 100 = 1800
hope this helps :)
plss someone really help me with this it's for a important grade ! I need to write the ratio for Tan A=
Answer:
13/84
Step-by-step explanation:
TanA = opposite/adjacent = 13/84
Please help will give Brainliest
8x -5 = 4x+7
Need answers ASAP and how to do it pls
8x -5 = 4x+7
8x - 4x = 7 + 5
4x = 12
x = 3
for ssc
1: a man walks 7km in 2 hours and 2 km in 1 hour in the same direction.what is the man's avarage speed for the whole joumey?
salamat po kong sino makaka sagot
Answer:
Average speed is 3 kilometers an hour
Simplify and then evaluate the equation
when a = 2 and b = 4.
b2 + 3(b-b2) – 2a = [?]
Help please
Answer:
8
Step-by-step explanation:
4(2)+3(b-4(2))-2(2)=8
9514 1404 393
Answer:
-24
Step-by-step explanation:
We can simplify this to ...
b^2 +3(b -b^2) -2a
= b^2 +3b -3b^2 -2a
= -2b^2 +3b -2a . . . . . . . simplified form
This can be made easier for evaluation by factoring out b.
= (-2b +3)b -2a
Using the given values, this is
= (-2(4) +3)(4) -2(2)
= (-5)(4) -4
= -24 . . . . value of the expression
20 POINTS
ANSWER FAST
Which of the following is not the Square Root of a Perfect Square?
A. 6
B. 12
C. 4
D. None of the above
Answer:
D I think
Step-by-step explanation:
Answer:
D, none of the above.
Step-by-step explanation:
6 is a square root of 36, which is a perfect square.
12 is a square root of 144, which is a perfect square.
4 is a square root of 16 AND a perfect square of 2.
Therefore the answer is none of the above.
There are 320 students in a school.
There are 36 more boys than girls.
What fraction of the students in the school are boys?
What is the measure of DC??
Answer:
113 - L O L Z - but its a obtuse angle
Step-by-step explanation: