Answer:
10
Step-by-step explanation:
By intersecting secants theorem:
[tex]3x = \frac{1}{2} (4x + 50 - 30) \\ 6x = 4x + 20 \\ 6x - 4x = 20 \\ 2x = 20 \\ x = \frac{20}{2} \\ x = 10[/tex]
wing figures, solve for x. Complete parts (a) 80° 53
Answer:
x = 25°
Step-by-step explanation:
Applying,
Sum of the angle in the triangle = 180°
From the diagram,
First angle of the triangle = 55° (vertically opposite angles are equal)
Second angle of the traingle = 180-80 = 100° (sum of the angle in a straight line)
Third angle of the triangle = x
Therefore,
x+55+100 = 180
x+155 = 180
x = 180-155
x = 25°
Find the first two expressions in the sequence _, _, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13...
Answer:
First term: 2x+1
Second term: 3x+3
Step-by-step explanation:
The coefficient of x is going up by 1 time each time while the constant term is going up by 2.
We are looking at these two questions basically:
1) What are the first two terms in?
_,_,4,5,6,7,8
2) What are the first two terms in?
_,_,5,7,9,11,13
Answers:
1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.
So before 4, we have 3.
Before 3, we have 2.
The sequence for the coefficient of x is 2,3,4,5,6,7,8
2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.
So before 5, we have 3.
Before 3, we have 1.
The sequence for the constant term is 1,3,5,7,9,11,13.
So first two terms of the sequence in ascending order according to the sequence is:
2x+1
3x+3
what is butterfly cycle
The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.
mark me brainliesttt :)))
10% trimmed mean please hurry
Answer:
The 10% trimmed mean is the mean computed by excluding the 10% largest and 10% smallest values from the sample and taking the arithmetic mean of the remaining 80% of the sample (other trimmed means are possible: 5%, 20%,, etc.) Example Consider the data (sample)
14. (a). The cost C of manning household is partly constant and partly varies as the number of people n, in the house. For 8 people, the cost is ¢70,000 and for 10 people, the coast is $90,000, find i. An expression for C in terms of n ii. The weekly cost for 12 people
Answer:
C = 10000n - 10000 ;
$110,000
Step-by-step explanation:
Given :
Cost = C
C partly varies as n ; C α n ; C = k1 * n = k1n
C partly constant = k2
Hence,
C = k1n + k2
For n = 8 ; C = 70000
For n = 10 ; C = 90000
8k1 + k2 = 70000 - - - - - (1)
10k1 + k2 = 90000 - - - - (2)
Subtract 1 from 2
8k1 - 10k1 = 70000 - 90000
-2k1 = - 20000
k1 = 10000
Put k1 = 10000 in (1)
8(10000) + k2 = 70000
80000 + k2 = 70000
k2 = 70000 - 80000
k2 = - 10000
The expression :
C = 10000n - 10000
Weekly cost for 12 people :
n = 12
C = 10000(12) - 10000
C = 120000 - 10000
C = $110,000
Savannah hike 1 mile every day after Hiking on Monday she has height 102 miles after hiking on Friday how many miles will she have hike
Answer:
106
Step-by-step explanation: ts 6 9 21 30
After Monday
102 + Tuesday + Wednesday + Thursday + Friday After
102 + 1 + 1 + 1 + 1 = 106
Given that BC is a tangent to the circle at B and CD is a tangent to the circle at D and also that the angle DAB is 115, calculate the size of angle BCD?
Step-by-step explanation:
the answer is in the above image
Use the graph of f(x) to estimate f(3).
Answer:
f(3) = -8
Step-by-step explanation:
f(3) means find the y value when x=3
Using the graph the y value when x =3 is -8
f(3) = -8
I HAVE ONE WEEK OF SCHOOL CAN SOMEONE HELP?!
9514 1404 393
Answer:
1. 5 seconds
2. 4.5 seconds
Step-by-step explanation:
Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.
__
1) y = -15x(x -5)
x = 5 makes the second factor zero
The golf ball is in the air 5 seconds.
__
2) y = -12x(x -4.5)
x = 4.5 makes the second factor zero
The football is in the air for 4.5 seconds.
_____
Additional comment
The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...
ax+b = 0 ⇒ ax = -b ⇒ x = -b/a
That is, once you have the factored form, you can write the solutions "by inspection."
PLS HELP! Tell whether each of the following is a function or not. How do you know?
Answer: It is
Step-by-step explanation:
None of the lines will ever touch each other resulting in a function.
Answer:
Top two are functions bottom two are not, functions can only have one outpur for each input, or one y value for each x value.
Step-by-step explanation:
functions can only have one one output for every input. this means on a graph if you draw a vertical line if the graph touches that line in two places it is not a function, so the lower left graph is not a function.
if you only hae points or ordered pairs like the lower right part of the picture you have to make sure that each x value is only matched up with 1 y value. so there is (3, 3) and (3,9) both have the input (x value) of 3 but one has an output (y value) of 3 ad the other has 9, so one input has multiple outputs, or if you prefer one x value coresponds to multiple y values. Either way is correct.
Important to say multiple inputs can have the same output. For instance x^2 has both -2 and 2 as inputs have 4 as outputs, but it is still a function. if it had 2 correspond to BOTH 4 and -4 or something else then it would not be a function.
solving quadratic equation using the completing the square method. (a).x²+20x-12=0
Answer:
[tex]x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]
Step-by-step explanation:
x²+20x-12=0
a = 1, b = 20, c = -12
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2x}[/tex]
[tex]x = \frac{-20 \pm \sqrt{448}}{2}\\\\x = \frac{-20 \pm \sqrt{8 \times 8 \times 7}}{2}\\\\x = \frac{-20 + 8\sqrt{7}}{2} \ , \ x = \frac{-20 - 8 \sqrt7}{2}\\\\x = \frac{-10 + 4\sqrt{7}}{1} \ , \ x = \frac{-10 - 4 \sqrt7}{1}\\\\x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
Answer:
First you need to state the equation that represents the function.
Investment is $200 and interest rate is 5%, y is the amount of money after x periods.
Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)
After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2
After 3 periods the amount is 200 (1.05)^3
And now you can deduce that after x periods y = 200 (1.05)^x
You can then analyze the function to predict the shape and critical points of the graph.
The answers are based in the initial value and the increasing factor.
The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200
And the increasing factor is 1.05 because any value is the previos one times 1.05.
Step-by-step explanation:
The total cost
of an $82 meal
with a 20% tip
Answer:
$16.40
Step-by-step explanation:
Answer:
98.40
Step-by-step explanation:
First find the tip
82* 20%
82* .20
16.40
Add the tip to the cost of the mean
82+16.40
98.40
I need the answer plzzzzzz
Answer:
D
Step-by-step explanation:
compare the numbers
Which list of numbers are valid for both inequalities?
-2
-3
-1
0
1
2
3
4
5
8
7
O -1,0,1
0, 1, 2
0 -1,0, 1, 2
0 -3, -2, -1, 0, 1, 2, 3, 4
Answer:
-1, 0, 1
Step-by-step explanation:
the blue and red lines overlap to give a solid dot above -1 through to 2, which has an open dot above
therefore, -1 ,0, 1 are the only integers that would be in the solution set
write an expression to represent multiplying twice the difference of 9 and 7 PLS HELP TYSM ASAP TOO PLS
Answer:
2*3
Step-by-step explanation:
multiplying 2 the difference subtraction of 9-7 your answer is 2*3
What is the value of the upper quartile?
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation C = 0.04 x 2 − 5 x + 900 . What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to acheive that minimum?
The minimum average cost is ?
The number of DVD/Blu-ray players that should be build to acheive the minimum is?
Answer:
Minimum average cost = 743.75
Number of dvds to achieve the cost = 62.5
Step-by-step explanation:
Given the cost equation
C = 0.04x² − 5x + 900
To Obtian the minimum average cost ;
Find dc/dx = 0
Diffentiate cost, c it ith respect to x
dc/dx = 2(0.04x) - 5
dc/dx = 0.08x - 5 = 0
0.08x = 5
x = 5 / 0.08
x = 62.5
Substitute the value of x into C to obtain the minimum average cost
C = 0.04(62.5)² - 5(62.5) + 900
C = 743.75
I really need help or I’m gonna fail the semester
To rent a car Cesar must pay $15 a day plus 50 for every mile he drives. in dollars, what is his final bill if he rents a car for 3 days and drives a total of 50 miles?
Answer:
Step-by-step explanation:
1. 50x50 (because 1 mile= $50)=2500
2. 15x3 (because you need to pay 15 dollars a day)= 45
3. 2500+45= $2545
( plus tax that would be $2,875.85 IF YOUR IN CANADA )
In ΔVWX, the measure of ∠X=90°, XW = 65, WV = 97, and VX = 72. What is the value of the cosine of ∠V to the nearest hundredth?
Answer:
The cosine of ∠V is of 0.74.
Step-by-step explanation:
Relations in a right triangle:
The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.
XW = 65, WV = 97, and VX = 72.
[tex]\sqrt{65^2+72^2} = 97[/tex], and thus, this is a right triangle.
What is the value of the cosine of ∠V to the nearest hundredth?
The hypotenuse is the largest side, that is, WV = 97.
The adjacent side of angle V is VX = 72. So
[tex]\cos{B} = \frac{72}{97} = 0.74[/tex]
The cosine of ∠V is of 0.74.
A researcher extracts information about hospital readmissions from a population of 6,000 client records. The researcher samples every 20th record from the population, beginning with record number 5. What type of sampling did the researcher use?
Answer: Systematic sampling
Step-by-step explanation:
Systematic sampling is a method when sample members from a population are selected based on a random starting point but in this case, there's a fixed, periodic interval.
It involves the selection of every kth case from the population given. Since the researcher extracts information about hospital readmissions from a population of 6,000 client records and samples every 20th record from the population, beginning with record number 5, then this is a systematic sampling.
Which figure has at least one line of symmetry?
Answer:
the second green shape because the first one is a rectangle which has 2 equal sides
Answer:
the third orange one
Step-by-step explanation:
i have the same question and these 2 show up as answers on both so it has to be this one
A bug starts at position (-3, -3) on the floor. It crawls along the vector (2, 6). What is the the final position of the bug on the floor? How far and in what direction did it crawl to get there?
Step-by-step explanation:
the final position = (-3+2 , -3+6) => (-1, 3)
the distance from the origin point =
√(2²+6²) = √(4+36) = √40 units or 6.3 units
the direction = tan~¹ 6/2 = 71.6°
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Step-by-step explanation:
the answer is in the above image
Katherine and David each improved their yards by planting roses and tulips, they bought their supplies from the same store. Katherine spent $34 on 2
pots of roses and 2 pots of tulips. David spent $74 on 2 pots of roses and 6 pots of tulips
A Write a system of equations for each person (Katherine should be one equation, and David should be another equation)
B. Which method (substitution, elimination, graphing, etc.) are you going to use to figure out how much each pot of roses and tulips cost? Explain why
C. Find the cost of one pot of rose and one pot of tulips
TIME REMAINING
50:38
In which triangle is the value of x equal to cos−1(StartFraction 4.3 Over 6.7 EndFraction)?
(Images may not be drawn to scale.)
A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.
A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle opposite to side with length 4.3 is x.
A right triangle is shown. The length of the hypotenuse is 4.3 and the length of another side is 6.7. The angle between 2 sides is x.
A right triangle is shown. The length of the 2 sides are 6.7 and 4.3. The angle opposite to side with length 4.3 is x.
Answer:
A
Step-by-step explanation:
its right
Need help ASAP! Giving Brainliest!
ok thats cool ig what do you need help with
Answer:
A
Step-by-step explanation:
Have a nice day :)
find the value of x? please I really need help
Answer:
the answer to x is 33
Step-by-step explanation:
The whole thing must equal 180 degrees
Evaluate the expression 7x for x = 2.
Answer:
Step-by-step explanation:
7x
If X=2
7(2)
=14