Answer:
a) 18
Step-by-step explanation:
you first add the 58 and 104 degrees,
=162
then you subtract,
=180-162
=18
hope this helps!
Answer:
18 is the third angle
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
58+104 +x = 180
Combine like terms
162+x = 180
Subtract 162
x = 180-162
x =18
GCM & LCM PICTURE INCLUDED LOTS OF POINTS
Answer:
lcm:
just write the larger common factors:
[tex]{3}^{3} \times {8}^{4} [/tex]
gcm(gcd):
just write the smaller factors:
[tex] {2}^{3} \times {6}^{7} [/tex]
An NBA center recently signed a seven-year contract for $121 million. What is the present value of this contract, given a 9% interest rate? In other words, how much must the ball club invest when the contract is signed, so that it can make seven equal payments of $17285714.29, the first one due immediately?
Answer:
PV= $86,998,184.72
Step-by-step explanation:
Giving the following information:
Annual payments= $17,285,714.29
Number of years= 7
Interest rate= 9%
First, we need to determine the future value incorporating the interest rate.
FV= {A*[(1+i)^n-1]}/i
A= annual payment
FV= {17,285,714.29* [(1.09^7) - 1]} / 0.09
FV= $159,036,085.1
Now, we can calculate the present value:
PV= FV/(1+i)^n
PV= 159,036,085.1/1.09^7
PV= $86,998,184.72
a shopkeeper bought 1000 glass tumblers at rs8 each. 100 glass tumblers were broken and he sold the rest at rs 10 each. find his gain or loss percent.
Answer:
Hello!
~~~~~~~~~~~~~~~~~`
Profit % = (Profit/C.P)*100
= (1000/8000)*100
= 12.5%
Step-by-step explanation:
Cp of 1000glass =8000
100were broken =8000-800=7200
now there were 900 glass tumblers left he sold at rs10 each =9000
there for sp is bigger than cp
P in rs =9000-8000=1000
Hope this helped you! Brainliest would nice..!
☆_________________❤︎________________☆
What is the domain of the function y=3/x-1?
O
-00
O-1
O 0
O 1
Answer:
x ≠ 1.
Step-by-step explanation:
In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.
x - 1 = 0
x = 1
That means that the domain of the function is x ≠ 1.
Hope this helps!
The value of domain is,
⇒ {- ∞, ∞} - {1}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ y = 3 / (x - 1)
Now, We can find the domain as;
Here, The function is,
⇒ y = 3 / (x - 1)
Hence, Domain is,
⇒ {- ∞, ∞} - {1}
Thus, The value of domain is,
⇒ {- ∞, ∞} - {1}
Learn more about the function visit:
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sorry i meant to put this picture.. for math
Answer:
Area = 4.5 cm²
Step-by-step explanation:
Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]
Where Base = 3 cm, Height = 3 cm
So,
Area = 1/2 (3*3)
Area = 9/2
Area = 4.5 cm²
The function h(t) = 2.3 + 50t - 1.86t^2 models the height of an arrow shot from a bow on Mars, where h(t) is the height in metres and t is time in seconds. How long does the arrow stay in flight?
Answer:
The arrow stay in flight for 26.92 seconds
Step-by-step explanation:
We are given that the height of an arrow shot from a bow on Mars is modeled by equation:
[tex]h(t) = 2.3 + 50t - 1.86t^2[/tex]
Where h(t) is the height of arrow
t is the time in seconds
Now we are supposed to find How long does the arrow stay in flight?
Substitute h(t)=0
So,[tex]2.3+50t-1.86t^2=0[/tex]
[tex]1.86t^2-50t-2.3=0[/tex]
t=-.04 , 26.92
Since the time cannot be negative
So,the arrow stay in flight for 26.92 seconds
LCM PICTURE INCLUDED
Answer: B) 3³ x 7⁶
Step-by-step explanation:
The most they have together is 3³ and 7⁶ the Least Common Multiple is:
3³ x 7⁶
Work out the size of angle x.
304°
115)
X
Answer:
121
Step-by-step explanation:
Angles on a line add up to 180.
180 - 115 = 65
Angles in a circle add up to 360 degrees.
360 - 304 = 56
Angles in a triangle add up to 180 degrees.
180 - 56 - 65 = 59
Angles on a line add up to 180 degrees.
180 - 59 = 121
Following are the calculation to the angle:
Given:
Please find the given question.
To find:
angle=?
Solution:
The sum of all the angles on a line is 180.
[tex]\to 180^{\circ} - 115^{\circ} = 65^{\circ}[/tex]
A circle's angles sum up to [tex]360^{\circ}[/tex]
[tex]\to 360^{\circ} - 304^{\circ} = 56^{\circ}[/tex]
The triangle's angles sum up to [tex]180^{\circ}[/tex].
[tex]\to 180^{\circ} - 56^{\circ} - 65^{\circ}= 59^{\circ}[/tex]
The line's angles sum up to [tex]180^{\circ}[/tex].
[tex]\to 180^{\circ} - 59^{\circ} = 121^{\circ}[/tex]
Therefore, the final answer is "[tex]121^{\circ}[/tex].."
Learn more:
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which answer describes the graph of the system of equations?
Answer:
D, the lines coincide.
Step-by-step explanation:
isolate the y so theres no 2y, only y:
2y = 8 - 2x (divide both sides by 2)
y = 4 - x
The lines are the same line, so while they are plural, they also coincide, as one lies on top of the other.
Hope this helps :) Brainliest??
Answer:
its D
Step-by-step explanation:
Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply.
Answer:
-7/4 =x
Step-by-step explanation:
x-2(x+3) = 4(2x+3) -(x+4)
Distribute
x -2x -6 =8x+12 -x -4
Combine like terms
-x-6 = 7x +8
Add x to teach side
-x-6 +x = 7x+x+8
-6 = 8x+8
Subtract 8 from each side
-6-8 =8x+8-8
-14 = 8x
Divide by 8
-14/8 = 8x/8
-7/4 =x
Answer:
-5/6Step-by-step explanation:
[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]
What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)?
Answer:
a^2-ab+3ab^2-2b^2
Step-by-step explanation:
-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)
Open parenthesis
-2a^2b+a^2-5ab+3ab^2-2b^2+2a^2b+4ab
Add
-2a^2b+2a^2b=0
We have
a^2-5ab+3ab^2-2b^2+4ab
Add
-5ab+4ab=-ab
We have
a^2-ab+3ab^2-2b^2
Write the equation in slope-intercept form. y=−6(x−3)+2x
Answer:
y=-4x+18
Step-by-step explanation:
y=-6(x-3)+2x
Distribute -6 to the (x-3)
y=-6x+18+2x
Combine like terms
y= -4x+18
Answer: y = -4x + 18
Step-by-step explanation:
First do distributive property
y = (-6x + 18) + 2x
Next, combine like terms
y = -6x + 2x + 18
y = -4x + 18
what would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2
Answer:
a=3,b=5
Step-by-step explanation:
[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} } [/tex]
so as you got it:
[tex] \frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5[/tex]
Which relation defined by a mapping diagram is not a function?
Answer:
C
Step-by-step explanation:
PLEASE HELP!!!!! Triangle △A'B'C' is the image of △ABC under a dilation with a scale factor of 2. (graph below) give an explanation please
Answer:
The Answer I think is A' (0,-2) B' (0,0) C(-3,0)
I will update and do the step by step when it is verified.
Step-by-step explanation:
Which expression is equivalent to 4(7 + 8)? (3 points) 11 + 8 11 + 12 28 + 12 28 + 32
Answer:
D) 28+32
Step-by-step explanation:
Well, if you solve the equation in the question, you derive 60.
So, solve all of the equations in the answer, and you find that the last answer choice is the only one that equals 60.
Hope this helped.
Answer:
28 + 32
Step-by-step explanation:
4(7 + 8)= 4*7+4*8= 28+32= 60
Last option is correct
At the arena, front section tickets are $12.50 more expensive than back section tickets. If 600 front section and 450 back section tickets to a worship music concert were sold for a total revenue of $31,125, how much does each type of ticket cost?
Answer:
Back Section Tickets: $22.50
Front Section Tickets: $35
Step-by-step explanation:
600(12.50+x) + 450(x) = 31125
7500+600x + 450x = 31125
1050x = 23625
x = 22.50 = back section tickets
x+12.50 = 35 = front section tickets
the profit earned by a hot dog stand is a linear funsion of the number of hot dogs sold.It cost the owner $48 dollars each morning for the day's supply of hot dogs,but he earnes $2 profit for each hot dog sold which equation represent y, the profit earned bye the hot dogs sold
Answer:
Step-by-step explanation:
If he earns $2 per hot dog sold, then the algebraic expression for this is 2x, where x is the number of hot dogs sold. If he has to put out $48 to buy the supplies, that is represented as -48. The function, then, that represents the profit earned by selling the hot dogs is
y = 2x - 48
Answer:
c
Step-by-step explanation:
Segment RT and Segment GJ are chords that intersect at point H. If RH = 6 units, HT = 5 units, and GH = 3 units, what is the length of line segment HJ? A.) 20 B.) 10 C.) 5 D.) 40
Answer:
B.) 10 i think
Step-by-step explanation:
So could someone help me on this
Answer:
B. -6
Step-by-step explanation:
hope this helps!
Answer:
-6
Step-by-step explanation:
from (-6,-4) to (x,8) there are already 12 spaces in between the y- axis from -4 to 8. So because there are already 12 spaces in between you dont need to add any space between x and -6 so you can conclude that if x is -6 then there will be 12 spaces inbetween because of -4 and 8
Write the first 3 terms of the sequence below. Tn= n squared+5n+2 Thanks! Brainliest to first (correct) answer!
Answer:
8, 16, 26
Step-by-step explanation:
1 squared + (5*1) + 2 = 8
2 squared + (5*2) + 2 = 16
3 squared + (5*3) + 2 = 26
Hope it helps !
Answer:
8, 16, 26
Step-by-step explanation:
To find the first 3 terms substitute n = 1, 2, 3 into [tex]T_{n}[/tex] , that is
[tex]T_{1}[/tex] = 1² + 5(1) + 2 = 1 + 5 + 2 = 8
[tex]T_{2}[/tex] = 2² + 5(2) + 2 = 4 + 10 + 2 = 16
[tex]T_{3}[/tex] = 3² + 5(3) + 2 = 9 + 15 + 2 = 26
My number is odd. It is a factor of 30 and a multiple of 3 what are my 2 numbers?
Answer:
3 and 15
Step-by-step explanation:
Factors of 30
30 = 2 , 3 , 5 , 6 , 10, 15
Odd numbers are: 3, 5, 15
Odd number & multiple of 3 are: 3 and 15
The required two odd numbers are 3 and 5.
We have to determine, It is a factor of 30 and a multiple of 3 what are 2 numbers.
To obtain the factor of 30 and 2 numbers is calculated in the following steps.
The Factors of 30 are,
30 = 2 , 3 , 5 ,
And multiply the terms by 2,
[tex]= 2\times 2 , \ 2 \times 3,\ 2 \times5 \\\\=4, \ 6,\ 10[/tex]
After multiply by 2 all the term become even.
Then,
The 2 odd numbers are: 3, 5
Hence, The required two odd numbers are 3 and 5.
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Find the side length of the rhombus pictured below.
3x -8
x + 10
Hey there! :)
Answer:
19 units.
Step-by-step explanation:
The sides of a Rhombus are all congruent. Therefore:
x + 10 = 3x - 8
Subtract both sides by x:
10 = 2x - 8
Add 8 to both sides:
18 = 2x
Divide both sides by 2:
18/2 = 2x/2
x = 9.
Find the side length by plugging x into an equation:
(9) + 10 = 19 units.
A football coach is trying to decide: When a team is ahead late in the game, which strategy is better? Play the "regular" defense. Play a "prevent" defense that guards against long gains but makes short gains easier. The coach reviews the outcomes of 100 games. Compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. Draw a conclusion based on your results.
Answer: B
Step-by-step explanation:
The probability of winning when playing regular defense is 42 over the total 50.
42/50 = 0.84
The probabilty of also winning when playing Prevent defense is 35 over the total 50 also.
35/50 = 0.70
0.84 is greater than 0.70 so your more likely to win playing regular defense.
B. P(win | regular) = 0.84
P(win | prevent) = 0.70
Conclusions : You are more likely to win by playing regular defence.
What is probability ?The ratio of favourable outcomes of an event and total outcomes of an event is called probability of that event.
What is the conclusion of the problem ?The number of outcomes of winning by regular defence is 42 out of 50.
∴ P(win | regular) = 42/50 = 0.84
The number of outcomes of winning by prevent defence is 35 out of 50.
∴ P(win | prevent) = 35/50 = 0.70
Conclusion : You are more likely to win by playing regular defence.
Hence the option B is correct.
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I NEED HELP PLEASE, THANKS! :)
Answer: 2157
Step-by-step explanation:
3 | 5 10 3 8 -6 -3
| ↓ 15 75 234 726 2160
5 25 78 242 720 2157 ← remainder = f(3)
Answer:
Step-by-step explanation:
f(x)=5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3, f(3)
means that : 5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3 is divided by x-3
it won't let me add more attachments
Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be
Answer:
90 degrees
Step-by-step explanation:
Answer:
you didn't specify much!
So I am saying they are 45° each and that make the sum of both 90°
Step-by-step explanation:
According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,
A particular movie theater charges $ 9.00 per adult ticket and $ 3.5 0 per child ticket. Suppose 550 people attended a movie and the total revenue from ticket sales was $ 3575 . Write two linear equations to represent a system to solve this, where x represents the number of adults attending the movie and y represents the number of children attending the movie. Write the equations, but do not solve them. The first equation must come from the information given about the total attendance and the second must come from the ticket prices and revenue. 1)= ? 2)= ?
Answer:
If x represents the no. of adults
and y represents the children, then
x + y = 550
9x + 3.50y = 3575
Answer:
Step-by-step explanation:
Number of children = y
Number of adults = x
Total people = 550
x + y = 550 ------------------ (I)
Charge for 'y' children =3.50 * y = 3.5y
Charge for 'x' adult = 9 * x = 9x
Total amount = $ 3575
9x + 3.5y = 3575 -------------(II)
Multiply equation (I) by (-9)
(I)*(-9) -9x - 9y = -4950
(II) 9x + 3.5y = 3575 { Now add and so 'x' will be eliminated}
- 5.5y = -1375
y = -1375/-5.5
y = 250
Plug in y = 250 in equation (I)
x + 250 = 550
x = 550 - 250
x = 300
Number of children = 250
Number of adults = 300
What is the "k" value of the following function? Is it 3, -2, -3, or 2?
Answer:
-3
Step-by-step explanation:
we khow that the vertex form of a function is written this way :
f(x)=a(x-h)²+k
the coordinates of the vertex are (h,k) so from the graph we can deduce that k = -3
Can someone please help me I really need help please help me
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer: ŷ = 0.96185X + 3.55949
Step-by-step explanation:
From the plot provided : our points are;
(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)
According to relation:
Y = mx +c
Using the online linear regression calculator
ŷ = 0.96185X + 3.55949
The gradient or slope (m) = 0.96185
m = (y2 - y1) / (x2 - x1)