Answer:
70/sin38°
Step-by-step explanation:
According to question,we have
PQ=70 , ∠P=90° & ∠R=38°
We know, sine rule
So, Sin90° / QR = Sin38° / 70
on solving, we get
QR = 70 / Sin38°
A. John wants to find the average time it takes students to run a lap around the track. He will consider 24 students to find the average time. Which unit(s) could be used for the unit of measurement?
1. Pounds
2. Seconds
3. Ounces
4. Minutes
5. Grams
B. Which of the procedures below would be the best way to find the average time?
1. Ask for 24 volunteers to run a lap around the track and have them state their own times.
2. Measure the times of 24 volunteers who run a lap around the track.
3. Randomly pick 24 students to run a lap around the track and measure their times.
4. Randomly pick 24 students to run a lap around the track and have them state their own times.
Answer:
A) 2. Seconds
4. Minutes
B) 2. Measure the times of 24 volunteers who run a lap around the track.
3. Randomly pick 24 students to run a lap around the track and measure their times.
Step-by-step explanation:
A. The unit(s) that could be used for the unit of measurement are the units used to measure time and the correct answer according to the options given above is seconds and minutes.
B. Which of the procedures below would be the best way to find the average time?
2. Measure the times of 24 volunteers who run a lap around the track.
3. Randomly pick 24 students to run a lap around the track and measure their times.
Ariana invested $400 in an account paying an interest rate of 3.8% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 11 years?
50% of the trees are fruit trees .this means that?
Answer:
Half of the trees are not fruit trees
Answer:
It means that half of the trees are fruits while the other half sprouts vegetables.
Step-by-step explanation:
100% (trees) / 2 (types of trees, in this case, fruits and vegetables) = 50% (fruit trees) : 50% (vegetable trees)
is y=2x an inverse variation
Answer:
ha ha ha... yesno
Step-by-step wrong explanation:
becoause it is the dilemma of the miniyamma
A box with a square base and open top must have a volume of 97556 c m 3 cm3 . We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x x , the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of x x .] Simplify your formula as much as possible.
Answer:
S(x) = x² + 390224/x
Step-by-step explanation:
Volume of the open box = V = 97556 cm³
Material needed:
Let´s call x the side of the square base then the area of the base is
A(b) = x²
For the sides of the box, we have 4 sides each one with area of x*h
where h is the height of the box
The volume of the box V(b) = 97556 = x²*h then h = 97556/x²
S(x,h) = x² + 4*x*h*
The surface area of the box as function of x is:
S(x) = x² + 4*x*97556/x²
S(x) = x² + 390224/x
each exterior of a regular polygon is 30 degree find the sum of interior angles of the polygon
Step 1: 360÷30(exterior angle)= 12 sides
Step 2: (12-2)×180= 1800 (sum of the interior angles of the polygon)
Test: 1800÷ 12 sides= 150 ( 1 interior angle)
Name the property : (-1/2) x [(-3/4) + 4/7] = (-1/2) x (-3/5) + (-1/2) x (4/7)
answer fast
Answer:
this is a DISTRIBUTIVE property
please help step by step, please
9514 1404 393
Answer:
title: 300%payday: 650%check cashing: 214%Step-by-step explanation:
The formula for simple interest is ...
I = Prt
where P is the principal amount loaned, r is the annual rate, and t is the time in years. Solving for interest rate, we get ...
r = I/(Pt)
We assume 12 months or 52 weeks in a year.
__
Car title loan
r = 125/(500×1/12) = 3 × 100% = 300%
The APR is 300%.
__
Payday loan
r = 125/(500×2/52) = 6.5 × 100% = 650%
The APR is 650%.
__
Check cashing
r = 19.66/(478.41×1/52) ≈ 2.1369 × 100% ≈ 214%
The APR is about 214%.
Please help!!!! Anyone!!
9514 1404 393
Answer:
g(x) = |x -7|
Step-by-step explanation:
The form given for your answer has parameters 'a', 'h', and 'k'. The parameter 'a' is the vertical scale factor. Since g(x) is a translation only, that factor is 1. The parameters (h, k) identify the translation (right, up). The translation is 7 units right and 0 units up, so (h, k) = (7, 0).
Filling in these values of the parameters, your g(x) is ...
g(x) = |x -7|
Solve (x + 5)∕3 = 4 for x.
Answer:
7
Step by step explanation:
1. multiply both sides by 3
3(x+5)/3 =4 x 3
2. Simplify
x + 5=12
3. Subtract 5 from both sides
x+5-5=12-5
4. Simplify
7
if f(x) =g(x) + 10 and g(x) = 3(x) - 18
Step-by-step explanation:
This is called a nested function. Remember, math is a language.
We define a function where x is whatever we want it to be, f(x) = g(x) +10
but we have yet another function inside and itvs defined as g(x) = 3x - 18
if we were to write it out, it woukd be
f(x) = (3x - 18) + 10
What is the inverse of the function f(x) = 169x2 when x ≥ 0?
A- f−1(x) = 13‾‾
B- f−1(x) = √13
C- f−1(x) = 13x
D- f−1(x) = 113
Answer:
[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]
Step-by-step explanation:
Inverse function:
Suppose we have a function y = f(x). To find the inverse, we exchange the y and the x values, and then isolate y.
Function:
[tex]f(x) = 169x^2[/tex]
That is:
[tex]y = 169x^2[/tex]
Exchanging x and y:
[tex]x = 169y^2[/tex]
Isolating y:
[tex]y^2 = \frac{x}{169}[/tex]
[tex]y = \sqrt{\frac{x}{169}}[/tex]
[tex]y = \frac{\sqrt{x}}{13}[/tex]
[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]
Solve x2+y3 = 1 for x.
Answer:
x = 3 + 2y
Step-by-step explanation:
x - 2y = 3 ( Isolate x on the left side by adding 2y to both sides )
x = 3 + 2y
Step-by-step explanation:
Step 1: Add -y^3 to both sides.
y3+x2+−y3=1+−y3
x2=−y3+1
Step 2: Take square root.
x=√−y3+1 or x=−√−y3+1
Answer:
x=√−y3+1 or x=−√−y3+1
(I think this is right) (tell me if im right plz and thx)
Which equation can be used to solve for c?
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
6
4
B
х
.
O x-4
O x-2
Answer:
Step-by-step explanation:
x+2
A factor of the polynomial function f(x) graphed on the coordinate plane below is,
⇒ x + 2
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 polynomial function f(x) graphed on the coordinate plane below.
Now, We have;
The vertex of the function is,
⇒ x = - 2
⇒ x + 2
Thus, A factor of the polynomial function f(x) graphed on the coordinate plane below is,
⇒ x + 2
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
Solve the following question algebraically please
Answer:
c. x = ± 7
Step-by-step explanation:
2x^2 = 98
x^2 = 98 / 2
x^2 = 49
x^2 = ± 7
Answer:
c
Step-by-step explanation:
x2= 98/2
=49
x2=49
x= +_7
Which of the following points lies on the graph of the function y = 3 Superscript x?
a. (1, 0)
c. (3, 1)
b. (2, 9)
d. (0, 3)
Please select the best answer from the choices provided
A
B
C
D
Answer:
(2,9)
Step-by-step explanation:
I am assuming that you mean: [tex]y= 3^x[/tex]
I have graphed the function given along the points given. When they are graphed, only the point (2,9) lie on the line.
This means that Option B is the correct answer.
See graph below.
Hope this helps.
Nelda drove 315 kilometers and used 35 liters of gasoline. Her car averaged how many kilometers per liter of gas?
Going 315 km uses up 35 liters of gasoline
On average, 1 liter of gasoline can travel the number of kilometers:
315 : 35 = 9 liters of gasoline
Emelyn is comparing the rates of two different gardening companies for her camp site. The table below shows the rates for Log Edge Landscaping. Log Edge Landscaping Hours Worked 1.5 3 3.5 4.5 Total Cost $26 $44 $50 $62 The equation below represents the rates for Gatewood Gardening Services, where x represents the hours worked and y represents the total cost, in dollars. Compare the rates of both companies, and graph the relationship that represents the cost for the company with a greater rate of change.
Answer:
See Explanation
Step-by-step explanation:
Given
Edge Landscaping:
[tex]\begin{array}{cc}{Hours} & {Total} & {1.5} & {\$26} & {3} & {\$44} & {3.5} & {\$50} & {4.5} & {\$62} \ \end{array}[/tex]
The rates (m) of the above table is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have the following points
[tex](x_1,y_1) = (1.5,26)[/tex]
[tex](x_1,y_1) = (4.5,62)[/tex]
So, the rate is:
[tex]m = \frac{62 - 26}{4.5 - 1.5}[/tex]
[tex]m = \frac{36}{3.0}[/tex]
[tex]m = 12.0[/tex]
This means that the rate of edge landscaping is $12.0 per hour
The equation for Gatewood is not given. Hence, the rate cannot be calculated. However, the general procedure of calculating rates from a linear equation is as follows;
A linear equation is of the form:
[tex]y = mx + b[/tex]
Where:
[tex]m \to slope\ or\ rates[/tex]
In other words, if the equation is:
[tex]y = 20x + 5[/tex]
Then the rate is: 20 ($20/hour)
If the equation is: [tex]y = 10x + 5[/tex]
Then the rate is 10 ($10/hr)
Next, is to compare the rates;
For Edge landscaping, we have:
[tex]m = 12.0[/tex]
For Gatewood, we have:
[tex]m = 10[/tex] ------------ assume the equation is: [tex]y = 10x + 5[/tex]
Compare the rates:
[tex]12 > 10[/tex]
Hence, Edge landscaping has a greater hourly rate
The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2
A circle has an area 20 cm2. It is enlarged three times. What is the area of the enlarged circle?
Answer:
A = 60 cm²
Step-by-step explanation:
Given that,
The area of a circle, A = 20 cm²
It is enlarged 3 times.
We need to find the area of the enlarged circle.
Area of the enlarged circle,
A = 20×3
= 60 cm²
So, the area of the enlarged circle is equal to 60 cm².
1. 45 is what percent of 82?
2. What percent of 5 is 26?
3. 22% of what number is 84?
Answer This Question In A Row.
Answer:
45 is 54.9 percent of 82.
26 is 520% of 5.
84 is 22% of 381.8.
The population of a town is 1000. This is 125% of the population four years
ago. What was the population four years ago?
NO LINK
Answer:
800
Step-by-step explanation:
I think it is 1000/1.25 0r 800
Answer:
800
Step-by-step explanation:
Find the dicontinuities of the function.
f(x) =
x2 + 12x + 27
x2 + 4x + 3
.
There is a removable discontinuity at
(
,
).
Answer:
Step-by-step explanation:
I'm assuming you meant to type in
[tex]f(x)=\frac{x^2+12x+27}{x^2+4x+3}[/tex] because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to
[tex]f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)}[/tex] and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.
The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!
What is the slope of a line perpendicular to the line containing the points (4,-7) and (-5,-1)? Express your answer as a common fraction.
40 POINTS!!!!!!
if not right i report
Answer:
3/2
Step-by-step explanation:
Slope 1 = (-1+7)/(-5-4) = 6/(-9) = -2/3
Slope 2 perpendicular to Slope 1 :
-1 ÷ -⅔ = 3/2
Gabriela makes a profit of $0.80 for every cup of coffee that she sells at her coffee shop. She wanted to make a profit of at least $75 today on coffee. If she sold 90 cups today, which statement is correct? She met her goal, because she made less than $75 on coffee today. She met her goal, because she made more than $75 on coffee today. She missed her goal, because she made less than $75 on coffee today. She missed her goal, because she made more than $75 on coffee today.What is the value of the expression below?
(9.5 minus 3 times 1 and one-half) divided by 0.5
0.5
5
10
19.5
Answer:
She missed her goal, because she made less than $75 on coffee today.
10
Step-by-step explanation:
Target profit = $75
Profit per cup = $0.80
Number of cups sold = 90
Profit made today = Profit per cup * Number of cups sold
= $0.80 * 90
= $72
She missed her goal, because she made less than $75 on coffee today.
2. (9.5 minus 3 times 1 and one-half) divided by 0.5
(9.5 - 3 * 1 1/2) ÷ 0.5
= 9.5 - 3 * 3/2 ÷ 0.5
= 9.5 - 9/2 ÷ 0.5
= (9.5 - 4.5) ÷ 0.5
= 5 ÷ 0.5
= 10
If RT is 10 centimeters long, what is ST?
Answer:
Answer: a
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
First, find x
RT = 2x + 3x
10 = 2x+3x
10 = 5x
10/5 = 2
Now place 2 in place of x in the line ST
ST = 3x
ST = 3 * 2
ST = 6
Solve 3|x - 61 = 12.
It takes Miguel 18 minutes to finish reading 4 pages of a book. How long does it take him to finish reading 30 pages
Answer: 135 minutes or 2 hours and 15 minutes
Step-by-step explanation:
4/18 = 30/ x
Solve for duh 'x'
Find x if x-log 48 + 3 log 2 = 1/3log125 - log3
Answer:
Step-by-step explanation:
x−log(48)+3(log(2))=
1
3
(log(125))−log(3)
Simplifies to:
x−0.778151=0.221849
Let's solve your equation step-by-step.
x−0.778151=0.221849
Step 1: Add 0.778151 to both sides.
x−0.778151+0.778151=0.221849+0.778151
x=1
Answer:
x=1