Answer:
The answer is 4x+7
Step-by-step explanation:
3x+7+x
= 3x+x+7
= 4x+7
(I used symbolab)
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C, 3 units translated to the left due to the +3 inside the bracket, vertically reflected on the x-axis as it is negative outside the bracket and translation 1 unit up because of the +1 outside the brackets.
A Group of students is tracking a friend, John, who is riding a Ferris wheel. They know that John reaches the Maximum height of 11 m at 10 seconds and then reaches the minimum height of 1 m at 55 seconds.
What is the period of the function and what does it represent in this situation?
The period represents how long it takes go from one max to the next max (ie peak to peak). It also represents going from min to min.
======================================================
Explanation:
It reaches the max at 10 seconds, and then it reaches the min at 55 seconds. This is a timespan of 55-10 = 45 seconds. This is exactly half the period. It doubles to 2*45 = 90 seconds. This is the time period between any two points in time when you're at the max height (from one max to the next adjacent max).
So you're at the max height at 10 seconds, then min at 55 seconds, then the max again at 100 seconds. Note how 100-10 = 90.
The period of any trig function is basically telling us when the function or cycle repeats itself. Once we reach the peak again, the ride repeats itself from before.
-----------
Notes:
90 seconds = 1 minute, 30 seconds = 1.5 minutesThe actual heights listed (11 m and 1 m for the max and min respectively) do not play a role in determining the period. So the heights can be anything we want, and the period will stay at 90 seconds.Find the value of each variable. Round your answers to the nearest tenth. (Soh Coh Toa)
Answer:
k = 8.4, j = 13.1
Step-by-step explanation:
Solve for k:
[tex]tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k[/tex]
Solve for j:
[tex]8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j[/tex]
Answer:
k = 10 tan (40) = 8.39 (to 2 decimals)
J = 10 / cos(40) = 13.05 (to 2 decimals)
Step-by-step explanation:
It is SOH CAH TOA, or
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Using SOH CAH TOA,
tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)
cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)
Which expressions are equivalent to the on below select all that apply 9x
Answer:
B and D
Step-by-step explanation:
Multiplying exponents just adds them.
Answer:
B + D
Step-by-step explanation:
Find all n in N that satisfy (2^n)-1 divisible by 9
Answer:
u can use the hit and trial method for this
Marcus earns $13.00 per hour by walking the neighbor's dogs. He walked the dogs for
four hours. How much money will he have at the end of the day?
Answer:
$52.00
Step-by-step explanation:
if he makes 13.00 per hour, for four hours, you just times 13 by 4 to get 52.
Answer:
52
Step-by-step explanation:
Multiply 13 and 4 to get $52.
will mark brainliest!!!!]
Find the distance between the points (-5, -10) and (2, 4).
Answer:
15.65 units
Step-by-step explanation:
Given data
x1=-5
y1=-10
x2=2
y2=4
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((2-(-5))²+(4-(-10))²)
d=√(2+5)²+(4+10)²
d=√7²+14²
d=√49+196
d=√245
d=15.65 units
Hence the distance between the points is 15.65 units
Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length of the third side?
Answer:
3 < x < 11
Step-by-step explanation:
triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side
if 'x' is the third side then:
x + 4 > 7
7 + 4 > x
therefore, 'x' must be greater than 3 and less than 11
The value of the third side should be < 11 so, it cannot be 11, the correct option is C.
What is a Triangle?A triangle is a polygon with three sides, three vertices and three angles.
The two sides of a triangle are 4 and 7
According to the property of sides of a triangle, The measure of the third side of a triangle is always less than the sum of the two sides.
The sum of the sides is 4+7 = 11
Let the third side be x
then,
x < 11
The x cannot be 11.
The missing options are
A. 4
B. 7
C. 11
D. 5
To know more about Triangle
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find out the arc length of DG and the measure of angle DHG
Answer:
is it timed, because i need like 20 mins to answer this question.
Step-by-step explanation:
Simultaneous EQUATION 3x+2y=16 2x+y=9 PLS HELP I need answer quickly
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
3x + 2y = 16 → (1)
2x + y = 9 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 4x - 2y = - 18 → (3)
Add (1) and (3) term by term to eliminate y
- x = - 2 ( multiply both sides by - 1 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
3(2) + 2y = 16
6 + 2y = 16 ( subtract 6 from both sides )
2y = 10 ( divide both sides by 2 )_
y = 5
solution is (2, 5 )
Given that cot A = 16/63 and that angle A is in Quadrant I, find the exact value of cscA in simplest radical form using a rational denominator.
Answer:
Below in bold.
Step-by-step explanation:
cot = adjacent side / opposite side = 16/63
So the hypotenuse = √(16^2 + 63^2)
= √4225
= 65.
So csc A = hypotenuse /opposite side
= 65/63
What is the measure of an angle if it is fourteen times its own complement?
Answer:
Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.
Find Sin/Cos/Tan and Csc/Sec/Cot of A.
Answer:
Sin A = 5/13,
Cos A = 12/13,
tan A = 5/12
CSC A = 13/5
Sec A = 13/12
Cot A = 12/5
Patty measured the elementary school and made a scale drawing. The scale she used was 7 centimeters = 1 meter
What is the drawing's scale factor?
Simplify your answer and write it as a ratio, using a colon.
Write the scale of the drawing as a fraction. Put the shorter length in the numerator.
[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]
First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.
[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]
Write the scale factor as a ratio, using a colon
7/100 → 7:100
The scale factor is 7:100.
[tex] \\ [/tex]
#CarryOnLearning!
Factor the following expression.
x4 + x2 – 20
Answer:
2(2x+x-10)
Step-by-step explanation:
The common factor of this expression is 2 so when you factor out a 2 you have to divide everything in the expression by 2.
Answer: (−2)(+2)(/2+5)
what is the anser for 194*33333
(the answer is) = 6466602
draw the image of triangle ABC after a translation along vector v
(just saying the points' ordered pairs is fine :) )
Answer:
[tex]A'=(1, 9), \\B'=(6,9),\\C'=(1,4)[/tex]
Step-by-step explanation:
Notice how [tex]\vec{v}[/tex] has a tail at (8,4) and a head at (2,2), which means the x-coordinate is translated 6 units to the left and the y-coordinate is translated 2 units down.
If [tex]\triangle ABC[/tex] were to be translated along this vector, its vertices should follow the vector.
Therefore, the new points of [tex]\triangle ABC[/tex] will be 6 units to the left of their initial x-coordinate and 2 units below their initial y-coordinate.
[tex]A(7, 11)\implies A'(1, 9), \\B(12, 11)\implies B'(6, 9), \\C(7, 6)\implies C'(1, 4)[/tex]
Help me pls i'm struggling need help fast!
Which of the following is equal to √16x4?
A. 32 B. 64 C. √16/4 D. √16•√4
Given :-
√16 × 4 .To Find :-
The value of the expression .Answer :-
We know that , if ,
=> √{ab}
It can be written as ,
=> √a × √b ,
Therefore ,
=> √{ 16 × 4 }
=> √16 × √4
Option D is correct !
Leeza is making labels in the shape of parallelograms each label has an area of 18 square centimeters and a base of 6 centimeters. What is the height of each labe
Answer:
3cm
Step-by-step explanation:
A parallelogram is quadrilateral that has two pairs of parallel sides. The opposite sides equal in length
Area of a parallelogram = base x height
18cm² = 6cm x height
height = 18cm² / 6cm = 3cm
Roger just ran 5 laps. He is at 20% of his goal.
How many more laps until he is finished reaching
his goal?
25 laps The Principal never visited the arts section.
4 laps The Principal never visited the bathroom
15 laps The Principal never visited the History section
20 laps The Principal never visited the office or arts
section.
Answer: 20 laps
Step-by-step explanation:
Given
Roger just ran 5 laps and completes 20% of his goal
Suppose his goal is x laps
So, 20% of x must be equal to 5
[tex]\Rightarrow 20\%\times x=5\\\Rightarrow 0.2x=5\\\\\Rightarrow x=\dfrac{5}{0.2}\\\\\Rightarrow x=\dfrac{50}{2}\\\\\Rightarrow x=25\ \text{laps}[/tex]
So, he needs 20 more laps to complete his goal.
Drag each tile to the correct box.
Match each term in the credit card statement to its description
the amount owed by the consumer
before the current billing cycle
the amount available for the
consumer to spend
the amount the consumer currently
owes
available credit
previous balance
new balance
Answer:
Available credit :- the amount the consumer currently owes.
Previous balance :- the amount owed by the consumer before the current billing cycle
new balance :- the amount available for the consumer to spend.
Hope this answer is right!!
Answer:
AVAILABLE CREDIT- the amount the consumer currently owes.
PREVIOUS BALANCE- the amount owed by the consumer before the current billing cycle
NEW BALANCE-the amount available for the consumer to spend.
Step-by-step explanation: PLATO
Consider the equation below.
2(n + 4) = 8–6(n-4)
Solve the equation for n.
A
-3
B
D
16
Answer:
N=3
Explanation:
Look at image below
Here are some cards with angles written on them.
45° ||165°
5°
90° 102°
102°|| 31°
53°
Moira picks one of the cards at random.
What is the probability that the angle on the card is greater than 100°?
Answer:
below
Step-by-step explanation:
three cards angles are greater than 100°
total cards = 8
probability = 3/8
A piece of wood is 21 m long. How much piece of wood 07m 'long wood can be cut from it?
Equation = 21/7=?
Revision: 7 x ? = 21
7+7+7 = 21
7 x 3 = 21
21/7 = 3
Answer = 3
A bag contains 3 red marbles, 4 blue marbles and 7 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 100oth, that both marbles drawn will be red?
Answer: 0.214
Step-by-step explanation:
There are a total of 14 marbles in the bag, with only 3 being red. 3/14 converts to 0.214
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (3,-4). What is the vertex of the function defined as g (x) =f(x+5)?
Answer:
(-2, -4)
Step-by-step explanation:
y = f(x) = ax²+bx +c
given the vertex is (3, -4)
=> the symetry axis: x = 3
x = -b/2a = 3
so, -b = 6a => b = -6a
the function f(x) = x²-6x + 5
g(x) = f(x+5)
g(x) = (x+5)²-6(x+5)+5
g(x) = x²+10x+25-6x-30+5
g(x) = x²+4x
=> a=1, b=4
find the vertex of the function g :
the symetry axis: x= -4/2(1) => x = -2
y = g(-2) = (-2)²+4(-2)= 4-8 = -4
so, the vertex is (-2, -4)
Answer:
(-2, -4)Step-by-step explanation:
Vertex form of a quadratic function:
f(x) = (x - h)² + kWe have (h, k) = (3, -4)
The function f(x) is:
f(x) = (x - 3)² - 4The function g(x) is:
g(x) = f(x + 5) =
(x + 5 - 3)² - 4 =
(x + 2)² - 4
Vertex of g(x) is:
(-2, -4)DUE IN 25 MINUTES OMG- PLS HELP IF YOU CAN
Convert factored form to standard form then identify y-intercept
(2x + 1) (x - 3)
Answer:
2 x ^2 − 5 x − 3
Step-by-step explanation:
Answer is the problem in standard form then the y-intercept would be -3
MATH HELP PLEASE HELP
Answer:
75 cm
Step-by-step explanation:
150÷2 = 75
Good luck with your exam :)
Answer:
75
Step-by-step explanation:
Essentially this question for the radius as it ask for the distance from the middle of the pit to the outside of the pit.
We are given the diameter (150) which is a straight line through the middle from one end to the other
To find the radius given the diameter you simply divide by 2
So answer = 150/2 = 75