Hello!
(1/3)^2x = (1/3)^x+14 <=>
<=> 2x = x + 14 <=>
<=> 2x - x = 14 <=>
<=> x = 14
Good luck! :)
1. Ten students in Silverton J.H.S. took 9 days to weed the school compound. How long would 15 students take to weed the compound if they worked at the same rate?
Answer:
6 days
Step-by-step explanation:
No. of students | No. of days
10 | 9
15 | [tex]\frac{10}{15}[/tex] × 9 = 6
Since the number of students and the number of days is inversely proportionate (when one increases by a certain extent, the other decreases by the same extent), we can calculate the number of days by multiplying the number of days by the fraction of the number of students proportionate to the number of days and the number of students you want to find the number of days for.
It would take 6 days.
Domain and rang of these
Answer:
Domain: {-3, -1, 1}
Range: {-1, 2, 4, 5}
Step-by-step explanation:
The domain is all the x-values, and the range is all the y-values. When listing values, repeated values are only written down once.
Solve for x. Round to the nearest tenth of a degree, if necessary.
From one of the trigonometric ratios, tan(x), it is possible to find that x is equal to 52.1°.
Trigonometric RatiosThe main trigonometric ratios for a right triangle are presented below.
[tex]sin(x)= \frac{opposite\; side}{hypotenuse} \\ \\ cos(x)= \frac{adjacent\; side}{hypotenuse} \\ \\tan(x)= \frac{sin(x)}{cos(x)} =\frac{opposite\; side}{hypotenuse}* \frac{adjacent\; side}{hypotenuse}=\frac{opposite\; side}{adjacent\; side}[/tex]
For solving this question, you need to apply the a trigonometric ratio . You have the dimensions of two sides and you need to find the angle x.
Thus, you can apply the tan(x).
[tex]tan(x)= \frac{opposite\; side}{adjacent\; side}=\frac{36}{28} =\frac{9}{7}[/tex]
After that, you should calculate the arctan(x).
[tex]arctan\left(\frac{9}{7}\right)=52.1^{\circ \:}[/tex]
Then x= 52.1°
Learn more about trigonometric ratios here:
brainly.com/question/11967894
Solve for x. Round to the nearest tenth, if necessary. Calculating Sin or Cos or Tan
Answer:
1.06
Step-by-step explanation:
cos41⁰ = 0.8 ÷ X
X = 0.8 ÷ cos41⁰
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a right triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
x = Hyp (for this question)
Cos(41) = 0.8 / Hyp
use your algebra skillz
Hyp = 0.8 / Cos(41)
use your calculator to fund Cos(41) into 0.8
Hyp = 1.060010395 (that's all the decimal places my calc would go out to )
x = 1.1 ( rounded to nearest 10th )
Someone help me please !!
Answer:You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function.
Step-by-step explanation:
4. Convert 23 miles per hour to kilometers per minute. (1 mile = 1.609 kilometers)
Answer:
Ewan ko lng po when you find someone ma mas better less sa kanya
Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more than halfway between them. What is the approximate value for the y-coordinate? y Almost-equals –1.1 y Almost-equals –1.4 y Almost-equals –1.8 y Almost-equals –1.9
Answer:
The answer is "[tex]y\approx 1.4[/tex]".
Step-by-step explanation:
In the given question the y-coordinates range between -1 to -2. Its distance between -1 and -2 is near, and less than halfway.
Answer:
b
Step-by-step explanation:
I tried figuring it out but its kinda hard not knowing what to make as an equation?
Solve for x. Thank you
Answer:
x = sqrt(3)
Step-by-step explanation:
Use Thales theorem
x²=3(4-3)x²=3(1)x²=3x=√3Use the elimination method to solve the system of equations
2x+3y=8
x-y=9
Answer:
Step-by-step explanation:
Answer: x = 7 and y = -2
Step-by-step explanation:
2x +3y = 8 ----------------(1)
x-y = 9 ----------------------(2)
multiply (2) by 2
2x-2y = 18--------------------(3)
subtract (2) from (3)
-5y = 10
Divide bothside by -5
y = -2
Similarly, multiply (2) by 3
3x-3y = 27-----------------------(4)
add (1) and (4) together
5x = 35
Divide bothside by 5
x= 7
Therefore, x =7 and y= -2
What is the classification for this polynomial? X2y+3x3
Answer:
quadratic
Step-by-step explanation:
hope you got it
Which of the relations given by the following sets of ordered pairs is not a function?
0 [(5,0), (4,0), (3,0), (2,0), (1,0)}
{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)}
{(-8,3), (- 6,5), (- 4,2), ( - 2,7), ( - 1,4)}
{(-6,4), ( – 3, - 2), (0,5), (1, - 2), (2,3)}
Answer:
{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)} is not a function.
Step-by-step explanation:
For a function to be a function, there is only ever one y value per x value. In this set, -1 has two outputs, or y values. It has -1 and 1. As a result, this is not a function.
A boat travels to an island and back in 78 minutes. If the speed of the boat going to the island is 14 mph, and its speed returning is 12 mph, how far away is the island
Answer:
8.4 miles
Step-by-step explanation:
Given that :
Total time taken = 78 minutes = 78/60 = 1.3 hours
To Speed = 14 mph
Fro Speed = 12 mph
Let the distance be represented as, d
Distance = speed * time
Time = distance / speed
To time + Fro time = 1.3 hours
d / 14 + d / 12 = 1.3 hours
Take lcm of 14 and 12 ; = 84
(6d + 7d) / 84 = 1.3
13d /84 = 1.3
13d = 1.3 * 84
13d = 109.2
d = 109.2 / 13
d = 8.4 miles
The distance is 8.4 miles
is 4393 is divisible by which number
Answer:
4393 is divisible by 1 ,23 and 191
Answer:
the answer is 23
Step-by-step explanation:
Find cos R.
A. cos R =29/21
B. cos R =21/20
C. cos R =21/29
D. cos R =20/29
Answer:
The answer is 12 %R
Step-by-step explanation:
Answer:
[tex]\text{C. }\cos R=21/29[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.
From the diagram, we know:
Angle R's adjacent side is 21The hypotenuse (longest side) of the right triangle is 29Therefore, the cosine of angle R must be [tex]\boxed{\frac{21}{29}}[/tex]
Solve the inequality. q/3 < 11
Answer:
[tex]q < 33[/tex]
Step-by-step explanation:
[tex] \frac{q}{3} < 11[/tex][tex]q < 11 \times 3[/tex]
[tex]q < 33[/tex]
Hope it is helpful....Answer:
33
Step-by-step explanation:
q/3<11
q=11×3
q=33
:. The answer is 33.
Variables, in statistics, refer to:
A) characteristics of experimental units
B) data that has been collected
C) unknown quantaties
A roller coaster starts at point A. It goes up 20 feet, down 32 feet, and then up 16 feet to point B. Write an addition sentence to find the height at point B in relation in point A.
Heklp po pasahan na bukas
Answer:
20+(-32)+16
Step-by-step explanation:
It goes up which is positive then goes down which is negative then goes back up which is positive
Tell whether each probability of the event happening is likely or unlikely to happen. Write L if it is likely to happen and U if unlikely to happen on the space before each number.
__ 1. 2:3
__ 2. 4:15
__ 3. 3/10
__ 4. 13/21
__ 5. 6/16
__ 6. 8:11
__ 7. 9:20
__ 8. 11:25
__ 9. 5/16
__ 10. 7/12
__ 11. 6:13
__ 12. 4:9
__ 13. 2:5
__ 14. 19/45
__ 15. 12/25
Please make it quick
Answer:
1.likely. 11.likely
2. likely. 12.likely
3. likely. 13.likely
4. unlikely 14. unlikely
5. likely. 15. likely
6. likely
7. likely
8. likely
9. likely
10. likely
Step-by-step explanation:
im correct if I'm rwong
h (t) = -10t + 6
h ( ? ) = -44
I'm looking for the T that goes in the parenthesis
This is from Algebra 1 - Khan Academy, Unit Functions
Answer:
[tex]{ \tt{h(t) = - 10t + 6}} \\ - 44 = - 10t + 6 \\ - 10t = - 50 \\ t = 5[/tex]
Answer:
h(5)
Step-by-step explanation:
Equate - 10t + 6 and - 44 and solve for t
- 10t + 6 = - 44 ( subtract 6 from both sides )
- 10t = - 50 ( divide both sides by - 10 )
t = 5 , that is
h(5) = - 44
It take 4 people 40 minutes to clean a garden. How long will it take 6 people to clean the same garden
Answer:
4/9 of an hour (26.666 minutes)
Step-by-step explanation:
4 * x * 40/60 = 1
x * 160/60 = 1
x=60/160 = 6/16 = 3/8 (this is the rate for one worker)
~~~~~~~~~~~~~~~~
6 * (3/8) * x = 1
x = 4/9
Express as a trinomial.
(2x-6)(2x-8)
Answer:
192
Step-by-step explanation:
calculator
Let $S$ be the set of points $(a,b)$ in the coordinate plane, where each of $a$ and $b$ may be $-1$, 0, or 1. How many distinct lines pass through at least two members of $S$
Answer:
20 Lines
Step-by-step explanation:
According to the Question,
Given That, Let S be the set of points (a, b) in the coordinate plane, where each of a and b may be -1, 0, or 1.Now, the total pairs of points which can be formed is 9
And, the line passing through 2 such points 9c2 = 9! / (2! x 7!) = 9x4 ⇒ 36
Here, We have overcounted all of the lines which pass through three points.
And, each line that passes through three points will have been counted 3c2 = 3! / 2! ⇒ 3 times
Now, the sides of the square consist of 3 points. We have counted each side thrice, so 4*2 are repeated.
Therefore, the distinct lines pass through at least two members of S is 3 horizontal, 3 vertical, and 2 diagonal lines, so the answer is 36 - 2(3+3+2) = 20 LinesWhat is the first step when applying properties of operations to divide 73.85 by 4.1?
Given:
Divide 73.85 by 4.1.
To find:
The first step when applying properties of operations to divide 73.85 by 4.1.
Solution:
We have,
Divide 73.85 by 4.1 [tex]=\dfrac{73.83}{4.1}[/tex]
Here, the dividend is 73.83 and divisor is 4.1.
First, we have to remove the decimals.
In numerator we have to digits after decimal and in denominator we have 1 digit after decimal.
So, multiply the divisor and dividend by 100 to remove the decimal.
Therefore, the first step is "Multiply the divisor and dividend by 100".
Answer:
B
Step-by-step explanation:
What is the first step when applying properties of operations to divide 73.85 by 4.1?
What percentage of 1hour is 6munites 20seconds
Answer:
1 minute and 12 seconds is 2 % of an hour.
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
solve for
1) a
2) f
3) e
Answer:
Step-by-step explanation:
b + 70 = 180 {Supplementary angles}
b = 180 - 70
b = 110
a +b = 180 {Linear pair}
a + 110 = 180
a = 180 - 110
a = 70
d + 60 = 180 {linear pair}
d = 180 - 60
d = 120
c + d + 60 = 360 {one point angle}
c + 120 + 60 = 360
c + 180 = 360
c = 360 - 180
c = 180
f + 60 = 180 {Supplementary angles}
f = 180 - 60
f = 120
If y = 2x3 - 4x and dx, dt equals 4 , find dy, dt when x = 1. Give only the numerical answer. For example, if dy, dt = 3, type only 3
Work Shown:
y = 2x^3 - 4x
dy/dt = 2*3*x^2*dx/dt - 4*dx/dt
dy/dt = 2*3*1^2*4 - 4*4
dy/dt = 8
notice how I used the chain rule for step 2.
Martin was selling tickets for a basketball game in a high school. He sold 1,250 tickets and the total amount collected for the game was $2,750. The student tickets cost $2 each, and adult tickets cost $3 each. How many student and adult tickets were sold?
Answer:
x = number of students tickets = 1,000
y = number of adults tickets = 250
Step-by-step explanation:
Let
x = number of students tickets
y = number of adults tickets
x + y = 1,250 (1)
2x + 3y = 2,750 (2)
Multiply (1) by 2
x + y = 1,250 (1) * 2
2x + 2y = 2,500 (3)
2x + 3y = 2,750 (2)
Subtract (3) from (2) to eliminate x
3y - 2y = 2,750 - 2,500
y = 250
Substitute y = 250 into (1)
x + y = 1,250
x + 250 = 1,250
x = 1,250 - 250
x = 1,000
x = number of students tickets = 1,000
y = number of adults tickets = 250
A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (-4, 0) and (6.0). The y-intercept of
the first parabola is (0,–12). The y-intercept of the second parabola is (0, -24). What is the positive difference between
the a values for the two functions that describe the parabolas ? Write your answer as a decimal rounded to the nearest
tenth.
Answer:
∆a = 1/2
Step-by-step explanation:
parabolas cross the x-axis at (-4, 0) and (6, 0)
y = a(x + 4)(x - 6)
At the y-intercept x = 0
y = a(0 + 4)(0 - 6)
y = -24a
-----------------------
y-intercept of the first parabola is (0,–12)
-12 = -24a
a = 1/2
-----------------------
y-intercept of the second parabola is (0, -24)
-24 = -24a
a = 1
----------------------
What is the positive difference between the a values
∆a = 1 - 1/2
∆a = 1/2
What 23.5 x 10 to the power of two in scientific notation explain please
Answer:
2.35 x 10^3
Step by Step:
Rewrite the number in scientific notation.2.35 x 10^3