Answer:
1 hour 45 minutes
Step-by-step explanation:
Time taken to cover a distance of 2 miles = 30 minutes.
Time required to cover 1 mile = 30/2 = 15 minutes.
Time required to cover 7 miles = 15×7
= 105 minutes or 1 hour and 45 minutes.
If F(x) = +4, which of the following is the inverse of Fx)?
O A. F^1(x) = 2(x-4)
O B. F^1(x) = 7(x+4)
O C.F^1(x) = 7(x-4)
D. F1(x) = 2(x+4)
Answer:
[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{2x}{7} + 4[/tex]
Required
The inverse function
[tex]f(x) = \frac{2x}{7} + 4[/tex]
Replace f(x) with y
[tex]y = \frac{2x}{7} + 4[/tex]
Swap x and y
[tex]x = \frac{2y}{7} + 4[/tex]
Multiply through by 7
[tex]7x = 2y + 28[/tex]
Solve for 2y
[tex]2y = 7x - 28[/tex]
Solve for y
[tex]y = \frac{ 7x-28}{2}[/tex]
Factorize
[tex]y = \frac{ 7(x-4)}{2}[/tex]
Write as:
[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]
Solve the equation
6.2=2.2+x
X=
Solve 7x^2–20x = 3.
;
Answer:
x=3, -1/7
Step-by-step explanation:
7x^2-20x-3=0
Factor.
(x-3)(7x+1)=0
x-3=0 ⇒ x=3
7x+1=0 ⇒7x=-1 ⇒x= -1/7
Answer:
[tex]x = \frac{-1}{7}[/tex] or [tex]x = 3[/tex]
4) Jenee made a 99, 86, 76, and 95 on her first four spelling tests. Her mother told her
that her spelling test average had to be a 91 for Jenee to get a new video game. What
does Jenee need to make on her next test?
Answer: She needs to get 99 on her next test.
Step-by-step explanation:
In a circle, the length of an arc intercepted by a central angle is 12mm, and the radius of the circle is 8 mm. What is the measure, in radians, of the circle
Answer:
Step-by-step explanation:
S = 12mm
r = 8mm
What is the measure, in radians, of the circle or central angle?
The measure of a circle in radians is 2 radians. I think you want the central angle thata.
theta = S/r radians
theta = 12/8 radians
theta = 1.5 radians for the central angle
The measure in radians of the circle is 1.5π radians
What is central angle?The angle between two radii of a circle is known as the central angle of the circle.
given: S = 12 mm
r = 8 mm
circumference of a circle=2π radians
Since, 16π=2π radians.
1π= 2π /16
for,
12π =2π /16 *12
= 3/2*π
= 1.5π
[tex]\theta[/tex] = 1.5π radians
Learn more about this central angle here:
https://brainly.com/question/1335226
#SPJ2
I Need helppp! Please helpp!!
9514 1404 393
Answer:
x = 1/2
Step-by-step explanation:
There are some different ways to find the area of a donut shape. One is to multiply its centerline length by its width. We'll use that here to find the shaded area of the sector.
The centerline radius of shaded area A is ...
(6x -2) cm + (1/2)(4x cm) = 8x -2 cm
The length of the centerline is ...
s = rθ = (8x -2)(π/4) . . . . . . for a central angle of 45° = π/4 radians
Then the area A is ...
area A = (π/4)(8x -2)(4x) = 2πx(4x -1) . . . cm^2
__
The radius of circle B is ((4 -4x) cm)/2 = (2 -2x) cm. The area of circle B is ...
A = πr^2 = π(2 -2x)^2 cm^2
We're told the two areas are equal, so we have ...
2πx(4x -1) = π(2 -2x)^2 . . . . . . . expressions for the areas are equal
8x^2 -2x = 4x^2 -8x +4 . . . . . . divide by π, eliminate parentheses
4x^2 +6x -4 = 0 . . . . . . . . . . . . subtract the right-side expression
2(2x -1)(x +2) = 0 . . . . . . . . . . . factor
x = 1/2 or -2 . . . . . . . only the positive solution is useful here
The value of x is 1/2.
URGENT NEED HELP CLICK TO SEE
Answer:
4.20
Step-by-step explanation:
First find the total cost of the nametags
105 * .12
12.60
Then divide by the 3 teachers
12.60/3 =4.20
Each teacher will pay 4.20
does anyone know this
Answer:
YASSSSSSSS its c hope this helps
- Isabella<3
Step-by-step explanation:
I the radius of a circle is x cm ,what is the length of circufernece?
Answer:
44x/7
Step-by-step explanation:
Radius=r=xcm
Circumference=2πr
➜2πx
➜2×22/7×x
➜44/7×x
➜44x/7
How to find volume of cone?
Answer:
1/3[tex]\pi r[/tex]²[tex]h[/tex]
Step-by-step explanation:
a) -4/5
b) -5/4
c) 4/5
d) 5/4
Answer:
d) 5/4
Step-by-step explanation:
The gradient is change in y over change in x
hope it makes sense
:)
. A point P is equidistant from R(-2, 4) and S(6,-4)
and its x-coordinate is twice its y-coordinate.
(0) Find the coordinates of P.
(ii) Hence, determine whether P, R and S are
collinear, showing your working clearly.
Answer:
I) coordinate of P is (11, 5.5)
II) Points are not collinear
Step-by-step explanation:
I) Let the coordinates of P be (a, b)
We are told that its x-coordinate is twice its y-coordinate. Thus, a = 2b
Now, P is equidistant from R(-2, 4) and S(6,-4). Thus;
PR = PS
Using the formula for distance between two coordinates, we have;
√((a - (-2))² + (b - 4)²) = √((a - 6)² + (b - (-4))²)
This gives;
(a + 2)² + (b - 4)² = (a - 6)² + (b + 4)²
Since a = 2b,then we have;
(2b + 2)² + (b - 4)² = (2b - 6)² + (b + 4)²
4b² + 8b + 4 + b² - 8b + 16 = 4b² - 12b + 36 + b² + 8b + 16
Simplifying this gives;
20 = 42 - 4b
42 - 20 = 4b
4b = 22
b = 22/4
b = 11/2
b = 5.5
Since a = 2b
Then a = 2 × 5.5
a = 11
Thus, coordinate of P is (11, 5.5)
II) Formula for area of triangle formed by three points is given as;
A = ½|(x1 - x2) (x2 - x3)|
|(y1 - y2) (y2 - y3)|
x1 - x2 = 11 - (-2) = 13
x2 - x3 = -2 - 6 = -8
y1 - y2 = 5.5 - 4 = 1.5
y2 - y3 = 4 - (-4) = 8
Thus;
A = ½|13 -8|
|1.5 8|
A = ½((13 × 8) - (1.5 × - 8))
A = ½(104 + 12)
A = 58
Since the area is not zero, then it means the points are not collinear.
find the effective rate corresponding
to the nominal rate. 4% compounded monthly
Answer:
4.07%
Step-by-step explanation:
To obtain the effective rate :
We use :
(1 + r/m)^m - 1
r = rate = 4% = 0.04
m = number of compounding times per year = 12
Effeective rate :
(1 + 0.04/12)^12 - 1
1.0407415 - 1
Effective rate = 0.0407415
0.0407415 * 100%
= 4.07%
I need help with aleks
Answer:
All angles are equal because all sided are equal so the 1st 1 is 60 .
the 2nd is 80
Which is the graph of f(x) =
Given the piecewise function below, which equation represents piece "B"?
Answer:
y=1
Step-by-step explanation:
x is 0 so there is no point putting that in in the equation y=mx+b you do have the b which is 1 so that is your equation
please help me answer the question.ghvjhbikb
Answer:
240units^2
Step-by-step explanation:
The formula for area on a triangle is 1/2 x b x h, so you do 4 x 10 x 1/2, giving you 20, there are two of these triangles so you double it to 40.
Then for the rectangle below you do l x w, or 10 x 20 giving 200.
You then add it all together, 200+20+20=240 units squared.
Hope this helps!
Car = V-8 sedan
Years driven = first and second
Miles driven = 15.500 miles first year and 14,500 miles second year
The cost of depreciation will be $
Answer:
$500
Step-by-step explanatioThe numberber of years driven is the first and second year
= 2
Miles driven
First year= 15,500
Second year= 14,500
Therefore the cost of depreciation can be calculated as follows
15,500-14,500/2
= 1000/2
= 500
Hence the cost of depreciation is $500
The answer is: 2,318
First year on the graph: 8.5
Second year on the graph: 6.9
First year:
15,500 x 8.5 = 131,750
131,750/100 = 1,317.50
Second year:
14,500 x 6.9 = 100,050
100,050/100 = 1,000.50
1,317.50 + 1,000.50 = 2,318
Pwease help this is very important I will give you brain thing if its correct ♡
Answer:
1. x-8
2. I dont know sorry
Step-by-step explanation:
Answer:
1. 8 - x
The answer is 8 - x because the plant is 8 inches tall total this week, and to get how many it grew you would subtract it's height last week from 8.
2. The other expression, x - 8, could show how much a plant wilted, if it did. If the height went down, subtracting 8 from x could show how much the plant wilted.
Step-by-step explanation:
:-) hope this helps!
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
Use the sketching tool to help explain if you'd like.
The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.
Answer:
Step-by-step explanation:
The last statement is false.
∠BAF and ∠EAB are supplementary angles.
A bike ride event is 10 miles. A first aid tent is put 3/5 of the way from the start. What is the distance from the starting point to the first aid tent?
don't know but the distance between the starting point to the first aid tent is 6cm or miles don't know but this much far
Help please :) love yall. select three choices that are ways to show 0.48. last one is forty-eight tenths
Answer: The first, The second, and the number line one love!
Step-by-step explanation:
A circle has a diameter of 8.2 m. What is the area of a sector with a 125 degree
arc? Round your answer to the nearest tenth. *
Answer:24.2 m
Step-by-step explanation: yea u gotta use the metric system
a. -3/2
b. 0
c. 3/2
d. DNE
Work out the perimeter of this shape. Please help!
Answer: 138
Step-by-step explanation:
(65*2)=130
(4*2)=8
130+8=138
Answer:
2 (l+b )=2 (65+4)=2×69=128
Is this is a math question?
Completează casetele cu numărătorii potrivit pentru ca relațiile sa fie adevărate
Answer:
si
Step-by-step explanation:
The two lines below are parallel. If the slope of the red line is 3, what is the slope of the green line?
ATCs are required to undergo periodic random drug testing.
A simple, low-cost urine test is used for initial screening. It has been reported that this particular test has a sensitivity and specificity of 0.96 and 0.93. This means that if there is drug use, the test will detect it 96% of the time. If there is no drug use, the test will be negative 93% of the time.
Based on historical results, the FAA reports that the probability of drug use at a given time is approximately 0.007 (this is called the prevalence of drug use).
Draw a probability tree for the situation. (Use this order for the tree: Drug Use(yes/no) -> Test Result(+/-) -> Joint Probabilites)
A positive test result puts the air traffic controller’s job in jeopardy. What is the probability of a positive test result?
Find the probability an air traffic control truly used drugs, given that the test is positive.
Answer:
The responsess to the given question can be defined as follows:
Step-by-step explanation:
[tex]P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\[/tex]
[tex]P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07[/tex]
As per the given info we draw the tree diagram which is defined in the attachment file.
[tex]P ( test \ is\ positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times P( Test\ positive | medication \ not \ used )[/tex]
[tex]= ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762[/tex]
[tex]P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication used )}}{\textup{P( medication used )}}[/tex]
[tex]= \frac{( 0.007\times 0.96 )}{0.0762}\\\\= 0.0882[/tex]
Write the explicit equation.
-8, -2, 4, 10
Answer:
a*n = -8 + (n - 1)6
Step-by-step explanation:
Explicit formula:
a*n = a*1 + (n - 1)d
a*1 = first term
n = nth term or the place
d = difference
Set: -8, -2, 4, 10
-8 ---> -2 = 6 added
Fill it in.
a*1 = -8
n = n
d = 6
Solution:
a^n = -8 + (n -1)6