Answer:
D. 68 degrees
Step-by-step explanation:
Remember, the total degree of a triangle is 180 degrees, not 360 like a rectangle.
To solve, set up an equation.
[tex]y+(y-12)+56=180[/tex]
Solve:
[tex]2y+44=180[/tex]
Subtract 44 from both sides
[tex]2y=136[/tex]
Divide both sides by 2
y=68
I hope this helps!
Answer:
68
Step-by-step explanation:
The sum of the angles of a triangle add to 180
y + y-12 +56 = 180
Combine like terms
2y+ 44 = 180
Subtract 44 from each side
2y+44 = 180-44
2y = 136
Divide by 2
2y/2 = 136/2
y = 68
the range of the function y=secx-2 is all reals except
-1
1
-3
-2
Answer:
For a function y = f(x), the range is the set of all the possible values of y.
In the question you wrote:
y = secx - 2
This can be interpreted as:
y = sec(x - 2)
or
y = sec(x) - 2
So let's see each case (these are kinda the same)
If the function is:
y = sec(x - 2)
Firs remember that:
sec(x) = 1/cos(x)
then we can rewrite:
y = 1/cos(x - 2)
notice that the function cos(x) has the range -1 ≤ y ≤ 1
Then for the two extremes we have:
y = 1/1 = 1
y = 1/-1 = -1
Notice that for:
y = 1/cos(x - 2)
y can never be in the range -1 < x < 1
As the denominator cant be larger, in absolute value, than 1.
Then we can conclude that the range is all reals except the interval:
-1 < y < 1
If instead the function was:
y = sec(x) - 2
y = 1/cos(x) - 2
Then with the same reasoning, the range will be the set of all real values except:
-1 - 2 < y < 1 - 2
-3 < y < -1
∣x−18∣=5 absolute value
Answer
x = 13 or x = 23
Step-by-step explanation:
|x-18| = 5 means there are two possibilities.
x-18 can equal 5 or equal -5 because absolute value sign makes everything inside it positive.
so you can write two equations and solve
first is x-18 = 5
x-18 + 18 = 5 + 18
x = 23
the second is x - 18 = -5
x - 18 + 18 = -5 + 18
x = 13
The two solutions are 13 and 23.
if g(x) is x-3 then what is g(3x)
Work Shown:
g(x) = x-3
g(3x) = 3x-3
We simply replaced every x with 3x. There isn't much else to show in terms of work. I suppose you could factor out the GCF to say g(3x) = 3(x-1), but that isn't much of a simplification in my opinion.
Answer:
Step-by-step explanation:
The meaning of g(x) = x - 3 is that whatever you put in the x on the left, you will put in the x on the right.
g(3x) = 3x - 3 is the correct answer.
Concrete is made by mixing screenings cement and sand in the ratio 3:1:15. How much sand would be needed
to make 125 tonnes of concrete?
Answer:
98.7 tonnes of sand.
Step-by-step explanation:
First find the total :
3 + 1 + 15 = 19
if 19 = 125 tonnes,
what about 15 = ?
(cross multiply)
[tex] \frac{15}{19} \times 125[/tex]
= 1875 ÷ 19
= 98.68
(rounded off to 1 decimal place)
= 98.7 tonnes of sand.
PLZ HELP!!!
Find the range of the following piecewise function.
Answer:
B
Step-by-step explanation:
the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.
PLEASEEEE HELLLLP MEEEE
Answer:
c. 20/21
Step-by-step explanation:
You just multiply straight
3×7 = 21
4×5 =20
21/20 <---- and it can't be reduced farther than this.
Answer:
C. ²¹⁄₂₀
Step-by-step explanation:
OKOKOK DON'T WORRY I'M HERE :)))
--
When multiplying fractions, you multiply the numerators together and then multiply the denominators together.
The numerators here are 3 and 7. Multiply those and you get 21 (7 x 3 = 21).
The denominators here are 4 and 5. Multiply those and you get 20 (4 x 5 = 20).
Then you put the newly-multiplied numerator over the newly-multiplied denominator and you get ²¹⁄₂₀.
Hope this helped!!
Given 4,7,10,13. Calculate the 20th term.
Answer:
61
Step-by-step explanation:
to calculate the 20th term you use the formula
Tn=a+(n-1)d where a stands for the first term,n the number of terms and d the common difference.in this case the first term is 4 the common difference is 3 cause they were adding 3 to go to the next term.. therefore the solution will be:
Tn=4+(20-1)3
=4+19×3
=4+57
=61
the 20th term is 61
I hope this helps
evaluate without multiplying directly 998³ x 103³
Answer correctly I will mark them as brainlist
Answer:
1,086,183,741,982,184
Step-by-step explanation:
998^3
= (1,000)^3 - (2)^3 - 3 · 1,000 · 2 (1000 - 2)
= 1,000,000,000 - 8 - 6,000 (998)
= 999,999,992 - 5,988,000
= 994,011,992
103^3
= (100 + 3)^3
= (100)^3 + (3)^3 + 3(100) (3) + (100+3)
= 1,000,000 + 27 + 900(103)
= 1,000,027 + 92,700
= 1,092,727
994,011,992 · 1,092,727
= 994,011,992 · (1,000,000 + 90,000 + 2,000 + 700 + 20 + 7)
= (994,011,992 · 1,000,000) + (994,011,992 · 90,000) + (994,011,992 · 2,000) + (994,011,992 · 700) + (994,011,992 · 20) + (994,011,992 · 7)
= 994,011,992,000,000 + 89,461,079,280,000 + 1,988,023,984,000 + 695,808,394,400 + 19,880,239,840 + 6,958,083,944
= 1,086,183,741,982,184
Help plz and thanks
Due to employee safety negligence at a nuclear waste facility, 2000 tons of a radioactive element is spilled into the nearby pond. The half-life of the radioactive element is 36 days. In order to be declared safe for swimming, based on its size and the amount of water, there must be less than 100 tons of the material found in the pond. How long, to the nearest day, until it is safe to swim again?
How long, to the nearest day, until it is safe to swim again will be 156 days
Let x represent number of day until it is safe to swim again
First step
=2000 *1/2^x
100=2000 *0.5^x
0.05=0.5^x
Second step
Log 0.05=xLog 0.5
Log 0.05/L0g 0.5=x
x=36 days* Log 0.05/L0g 0.5
x=36 days*43.22
x=156 days
Inconclusion How long, to the nearest day, until it is safe to swim again will be 156 days
Learn more about radioactive element here:
https://brainly.com/question/13812761
Function expressed by the formula y=-0.5x. Is there a value of x for which
y=-150? If there is such a value, compute it.
Answer:
x=300
Step-by-step explanation:
STEPS FOR SOLVING LINEAR EQUATION
−150=−0.5x
Divide both sides by −0.5.
−0.5
−150
=x
Expand
−0.5
−150
by multiplying both numerator and the denominator by 10.
−5
−1500
=x
Divide −1500 by −5 to get 300.
300=x
Swap sides so that all variable terms are on the left hand side.
x=300
Hope this helped!
Graph the line for y+1 = - 3(2x - 4) on the coordinate plane.
Question 4 (Essay Worth 10 points)
(05.06 MC)
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph:
A graph titled Motion of Ant is shown. The graph shows time in seconds on the x-axis and the Distance from Hole in centimeters on the y-axis. The scale on the x-axis is shown from 0 to 7 at increments of 1, and the scale on the y-axis is shown from 0 to 24 at increments of 4. The graph has 3 straight lines. The first line is labeled A and joins ordered pairs 0, 0 and 2, 16. The second line is labeled B and joins ordered pairs 2, 16 and 4, 16. The third line is labeled C and joins ordered pairs 4, 16 and 6, 0.
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph. (5 points)
Source
StylesFormat
The motion of the ant is a nonlinear graph;
It has its increasing segment at segment A, the constant segment at B and the decreasing segment at C.
THE TYPE OF GRAPH
The graph has 3 different straight lines, all of which point to different directions.
For a graph to be linear, such graph must have just 1 straight line. This means that the graph is nonlinear.
THE SEGMENTS OF THE GRAPH
The increasing segment of the graph is the segment that points in the upward direction.
In the attached graph, line segment A [i.e. from (0,0) to (2,16)] represents an upward movement of the ant because it points upward.
The decreasing segment of the graph is the segment that points in the downward direction.
In the attached graph, line segment C [i.e. from (4,16) to (6,0)] represents a downward movement of the ant because it points downward.
The constant segment of the graph is the segment that is represented by a horizontal line
In the attached graph, line segment B [i.e from (2,16) to (4,16)] represents the constant segment.
THE MOTION OF THE GRAPH
The ant travels at a constant speed through segment A. It then rests for 2 seconds in segment B and finally travels at a constant speed through segment C.
Learn more about graphs at:
https://brainly.com/question/9348683
Answer: got 100% on test
Step-by-step explanation:
Part A: This graph is not a linear function, because a linear function is a function whose graph is represented by a straight line and this graph does not represent a straight line. Which means it is a nonlinear function, because a non-linear function is any function that is not a linear function.
Part B: In line segment A the graph is increasing. In line segment B the graph is remaining constant. In line segment C the graph is decreasing.
Part C: The ant ran 16 cm up the hill in 2 seconds. It took 2 seconds to find his hole after that, then he ran all the way down his hole in 2 seconds.
PLZZ HELP !!!
If two functions, f(x) and g(x), are inverse of each other, then the:
(select all that apply)
- range of f(x) is the same as the domain of g(x)
-domain of f(x) is the same as the domain of g(x)
-domain of f(x) is the same as the range of g(x)
- range of f(x) is the same as the range of g(x)
What is the value of m in the diagram?
Answer:
81
Step-by-step explanation:
The angles shown are formed on a straight line
Angles formed on a straight line add up to 180
So m + m + 18 = 180
We've just created an equation that we can use to solve for m
So we can now solve for m
m + m + 18 = 180
Combine like terms
2m + 18 = 180
Subtract 18 from both sides
2m + 18 - 18 = 180 - 18
2m = 162
Divide both sides by 2
2m/2 = 162/2
m = 81
Which expression is equivalent to 4 + 36x?
Answer:
A
Step-by-step explanation:
4(1)+4(9x)=4+36x
Help me please i have no idea how to do this
Which is the angle of depression from b to c
1.)<2
2.) <3
3.) <1
4.)<4
<2
Step-by-step explanation:
that the answer. because it below par
during a special seasonal sale,a wholesaler allows retailers trade discount of 15% and 10% for prompt cash payment.Calculate the cash price of an article which is marked 115 cedis
The cash price of the article is 88 cedis.
In this question, the article has a price, but paid in cash, there are two discounts.
Price of 115 cedis.Discount of 15%, thus, 1 - 0.15 = 0.85 is paid, that is, the price is multiplied by 0.85.Discount of 10%, thus 1 - 0.1 = 0.9 is paid, that is, the price is also multiplied by 0.9.Thus, the cash price is:
[tex]P = 115\times0.85\times0.9 = 88[/tex]
The cash price of the article is 88 cedis.
A similar question is given at: https://brainly.com/question/14738783
Lena is asked to write an explicit formula for the graphed geometric sequence.
On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
What value, written as a decimal, should Lena use as the common ratio
Answer:
Common Ratio = 2.5
Step-by-step explanation:
Given
Points: (1, 1), (2, 2.5), (3, 6.25)
Required
Determine the common ratio
The points can be rewritten as:
x --- f(x)
1 ---- 1
2 --- 2.5
3 ---- 6.25
The data under the x column are the domain of the function and in this case, they are not needed;
To calculate common ration, Lena should use data in function f(x) column
Common ratio is calculated by dividing a term by the previous term;
Hence;
Common Ratio = 2.5/1 or 6.25/2.5
Common Ratio = 2.5 or 2.5
Notice that, the results are the same;
Hence, the usable common ratio is 2.5
Answer: 2.5 or "C"
Step-by-step explanation: this is right on the edge i just did the test.....Hope this helps :D
Please enter the missing number: 4, 5, 8, 17, 44, ?
Answer:
81
Step-by-step explanation:
from 4 to 5,the difference is 1 ,and when you multiply by 3, then add 3 to 5 ,it gives you 8 ,to get 17,I multiple 3by 3 and add the answer to 8 ,and the same continues upto when you get the final answer which is 81.
difference is just multiplying the previous difference with 3 and add it with the previous number .
Two consecutive even whole numbers have a product of 360. What is the smaller of the
two number?
Answer:
18
Step-by-step explanation:
To find this answer you would need to use the formula x(x+2) = 360 where x is an even number. This is the formula because any number plus 2 equals the next consecutive, even whole number. If we look at the factors of 360 we see the factors-
360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.
If we look through all of the factors 18 and 20 are the only ones with a 2 number difference.
Next, if we plug 18 into the equation:
x(x+2) =360
18(18+2) = 360
324+36 = 360
360 = 360
Since the equation works, x = 18.
PLEASE HELP ME OUT I NEED IT RIGHT NOW!! :(((
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
In each one, they add two arrows that are to the right as much as they possibly can be
Planes X and Y and points C, D, E, and F are shown.
Which statement is true about the points and planes?
• С
The line that can be drawn through points C and D is
contained in plane Y.
O The line that can be drawn through points D and E is
contained in plane Y.
O The only point that can lie in plane X is point F.
O The only points that can lie in plane Y are points D
and E.
D
E
.
Mark this and retum
Save and Exit
Next
Submit
Answer:
6
Step-by-step explanation:
Which of the relations given by the following sets of ordered pairs is a function?
Select one:
a.
{(2,4),(2,6),(2,8),(2,10),(2,12)}
b.
{(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}
c.
{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}
d.
{(8,1),(−4,1),(3,5),(0,4),(−1,2)}
Answer:
d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)} - function
Step-by-step explanation:
a.{(2,4),(2,6),(2,8),(2,10),(2,12)}
Each value of x goes to more than one value of y- this is not a function
b. {(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}
The value of x at -4 goes to more than one value of y- this is not a function
c.{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}
The value of x at 0 goes to more than one value of y- this is not a function
d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)}
Each value of x goes to only one value of y- this is a function
binomial expansions for clever cookies
The answers are in the red rectangles with the work.
Let me know if something is unreadable.
HELP, round to the nearest penny.
$11,579.9998
Answer:
11,580.00
Step-by-step explanation:
So basically all you need to do is round to the nearest 0.01 or the hundredths place. What you would do is round each place by so and you will eventually get the answer of 11,580.00
Hope this helps!!! Have a good rest of your day! :)
Solve the following for the value of the pro-numeral:
(c - 7) / 2 = -5
Answer:
[tex] \frac{(c - 7)}{2} = - 5 \\ c - 7 = - 5 \times 2 \\ c - 7 = - 10 \\ c = - 10 + 7 \\ c = - 3[/tex]
I hope I helped you^_^
Can someone please explain how to do this? You don't have to answer the questions but If you can give me an explanation/formula to solve. it would help me a lot thank you. marking brainliest when I can.
Answer:
a. The 1's are heavier than the x's. There isn't a whole number on top of the x's.
b. The equation would be 2x<9 because the 9 is greater(heavier) than the 2x. To continue to solve you would divide 2 by both sides. That would turn into x<9/2.
Step-by-step explanation:
