The range of this function is {2, 4, 5, 6}
2
4
5
6
8
13
O True
O False
Answer:
True l True-----------------^~^
5
An athlete covers three consecutive miles by walking the first mile, running the second mile
and cycling the third. He runs twice as fast as he walks, and he cycles one and a half times as
ast as he runs. He takes ten minutes longer than he would do if he cycled the three miles,
How long does he take by walking, running and cycling?
ter your math answer
Answer:
Total time taken by walking, running and cycling = 22 minutes.
Step-by-step explanation:
Let the speed of walking = x
As given,
The distance of walking = 1
Now,
As [tex]Time = \frac{Distance }{Speed}[/tex]
⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]
Now,
Given that - He runs twice as fast as he walks
⇒Speed of running = 2x
Also given distance traveled by running = 1
Time traveled by running = [tex]\frac{1}{2x}[/tex]
Now,
Given that - he cycles one and a half times as fast as he runs.
⇒Speed of cycling = [tex]\frac{3}{2}[/tex] (2x) = 3x
Also given distance traveled by cycling = 1
Time traveled by cycling = [tex]\frac{1}{3x}[/tex]
Now,
Total time traveled = Time traveled by walking + running + cycling
= [tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]
= [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]
If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x
Given,
He takes ten minutes longer than he would do if he cycled the three miles
⇒x + 10 = [tex]\frac{11}{6} x[/tex]
⇒[tex]x - \frac{11}{6} x = -10[/tex]
⇒[tex]-\frac{5}{6}x = -10[/tex]
⇒x = [tex]\frac{60}{5}[/tex] = 12
⇒x = 12
∴ we get
Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min
Solve for x: 1/2x + 3 = 9
Answer:
12
Step-by-step explanation:
Multiply the sum 5 and 3 and the sum of 8 and 9
Answer:
136
Step-by-step explanation:
Sum of 5 and 3: 8
Sum of 8 and 9: 17
17 * 8 is 136
Answer: The sum of 5 and 3 is 8 and the sum of 8 and 9 is 17.
Find the product of largest 4 digit number and
smallest 3 digit number.
Answer:
Largest 4-digit number is 9999 and smallest 3-digit number is 100 and product is 10000.
Step-by-step explanation:
hope it's helpful to you
which of these equations could represent the blue line?
Answer:
y = 1/2x
Step-by-step explanation:
The x seems to double the size of the y on the points.
In ΔTUV, v = 49 inches, u = 47 inches and ∠U=65°. Find all possible values of ∠V, to the nearest degree.
Answer: 16
Step-by-step explanation:
sin M/6.3=sin 21/8.2
6.3 sin 21/8.2=0.27533147
sin^-1(0.27533147)=15.981=16
Akris has a Quilted Calfskin bag on their website for this season in the shape of a trapezoid. Ms. Johnson called the company to get the dimension to use as a project for her math students. Based on the dimensions below, what is the area of trapezoid shaped purse?
Answer:
parralelagram
Step-by-step explanation:
A student read the first 150 pages of a book that is 450 pages long.
What fraction of the book does the student have left
Answer:
1/3
Step-by-step explanation:
the book is 450 pages long
the student read 150 pages
so he read 150/450=1/3
Answer:
2/3
Step-by-step explanation:
150x3=450
so 2 thirds
QUESTION:
Rachelle is offered a new job with Big Time Book-Sellers. Her starting wage is $10.00
per hour, and she will receive a $0.50 raise after the first year. For each year that she
stays with the company after that, her raise will be $0.50 more than it was the year
before. How much will Rachelle make per hour in her 7th year working at Big Time
Book Sellers?
A) How would you solve this problem? Explain the steps you would take. What is
your answer?
B) What is one important detail from this problem that you think people might
commonly miss?
Answer:
Step-by-step explanation:
multiplicas 0.50 por 7 , el resultado es 3.5, 3.5 lo sumas a 10 y eso es el resultado de lo que ella ganaría 13.50 dólares por hora después de trabajar 7 años con ellos.
a)You multiply 0.50 by 7, the result is 3.5, 3.5 l add to 10 and that is the result of what she would earn, $ 13.50 per hour after working 7 years with them.
Expand and simplify the following:
6x - 3(2x-1)
Answer:
3
Step-by-step explanation:
=6x-3(2x-1)
=6x-6x+3
=3 Answer
Let (12,-5) be a point on the terminal side of an angle 0. Find the values of sin e, cose, and tan
Answer:
Sin = -5/13
Cos = 12/13
Tan = -5/12
Step-by-step explanation:
PLEASE HELP ME
Amelia burns 10 calories for each minute that she spends running. How many calories will she burn if she runs for 20 minutes?
SHOW YOUR WORK
Answer:
She will burn 200 calories
Step-by-step explanation:
10(number of calories)x20(minutes)=200
Answer:
amelia is running for 20 minutes. so
10 calories per minute
x
20 minutes of running
=
200 calories burned.
10 x 20 = 200
Factor this trinomial.
x2 - 9x+ 20
O A. (x – 4)(x - 5)
O B. (x-2)(x+10)
O C. (x - 2)(x - 10)
O D. (x – 4)(x + 5)
The factorization of the given trinomial [tex]x^2 - 9x+ 20[/tex] is (x – 4)(x - 5). The correct option is A.
What is trinomial?A trinomial is a polynomial that has three terms. To factor a trinomial of the form [tex]ax^2 + bx + c[/tex], you need to find two binomials that multiply together to produce the original trinomial.
To factor the trinomial [tex]x^2 - 9x + 20[/tex], we need to find two numbers that multiply to 20 and add up to -9. These two numbers are -4 and -5. Therefore, we can write:
[tex]x^2 - 9x + 20 = (x - 4)(x - 5)[/tex]
Or, To factor [tex]x^2 - 9x + 20[/tex], you need to find two numbers that multiply to 20 and add up to -9. These numbers are -4 and -5 because -4*(-5) = 20 and -4 + (-5) = -9.
You can factor the trinomial as (x - 4)(x - 5).
Thus, the correct option is A.
For more details regarding trinomial, visit:
https://brainly.com/question/16347049
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Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 4%.
La escalera de un carro de bomberos
puede extenderse hasta una longitud
máxima de 30 m cuando se levanta a un
ángulo máximo de 70°; la base de la
escalera se coloca en el camión a 2 m,
sobre el suelo.
¿Qué altura podrá alcanzar la escalera?
Answer:
sorry I cant understand--
Find the area of the following figure:
Answer:
138
Step-by-step explanation
Janet, an experienced shipping clerk, can fill a certain order in 7 hours. Jim, a new clerk, needs 9 hours to do the same job.
Working together, how long will it take them to fill the order?
Answer:
zhdhsgscsisgege8djdhshsyw7273yeh3737eyd
6/9×4/7 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST
Answer: 380952381 / 1000000000
Step-by-step explanation:
:)P.s. This simplifies to 8/21 .
Answer:
8/21
Step-by-step explanation:
Identify the pair of angles as complementary, supplementary, or neither.
PLEASE HELP
Answer:
supplementary
Step-by-step explanation:
135 + 45 = 180
supplementary angle ALWAYS add up to 180.
-30 < x/-4. Solve for x
Answer:
-30 < x/-4
Above equation multiply by minus sign(-) so that sign of inequality is change from < to >
Above equation becomes
30 > x/4
30*4 > x
120 > x
Hence x is less than 120
If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?
Answer:
Rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.
Step-by-step explanation:
Given that there are 125 boxes of prescription bottle labels at the beginning of the inventory cycle, and 25 3/4 remain at the end of it, to determine how many boxes of labels remain the following calculation must be performed:
3/4 = 0.75 + 25 = 25.75
125 x 25.75 / 100 = X
3218.75 / 100 = X
32.1875 = X
Thus, rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.
a veriable is definded as
Answer:
Its Basically A Type of pattern In an Equation that you solve.
for example, X=Y. It's Configured as a pattern.
Step-by-step explanation:
Answer:
A variable is a unknown number or a unknown value.
Commonly used variables are x and y.
Have a nice day!
Hope this helps!
Please show the work.
1. A wheelchair ramp is 4.2 m long. I rises 0.7 . What is its angle of inclination to the nearest degree?
2. A person flying a kite has released 176 m of string and attached the end to the ground. The string makes an angle of 27 degree with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.
Answer:
see explanation
Step-by-step explanation:
(1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
Step-by-step explanation:
[tex]1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then
x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
[/tex]
Please help me will give brainlyest.
Answer:
x=24
Step-by-step explanation:
I think that its just a degree sign tbh
but because pc is a radius and so is pd their opposite angles are equal to each other.
so angle d and angle c are congruent
then because a triangles angles add up to equal 180 we do
180=x+54+x+54+x and solve for x
step 1 combine like terms x+x+x=3x 54+54=108
180=3x+108
step 2 subtract each side by 108
3x=72
step 3 divide each side by 3
x=24
hope this helps (:
Answer:
x = 36
Step-by-step explanation:
BD is a diameter.
<BCD is an inscribed angle whose sides intersect the endpoints of a diameter. Therefore m<BCD = 90.
m<BCD = x + 54 = 90
x + 54 = 90
x = 36
Felix divided his shirts into three equal groups. Evaluate when s = 18.
Answer:
3 and 6.
Step-by-step explanation:
Write and evaluate the expression. Then, check all that apply.
Felix divided his shirts into three equal groups. Evaluate when s = 18.
The expression is
The expression is
The expression is s/3
The expression is
The answer is
The answer is 6.
if 7y + 42 <14 then which among the following is true
Answer:
[tex]y<-4[/tex]
Step-by-step explanation:
Given
[tex]7y + 42 <14[/tex]
Required
Determine the true statement
Options are not given; but, the question can still be attempted.
[tex]7y + 42 <14[/tex]
Collect Like Terms
[tex]7y < 14 -42[/tex]
[tex]7y < -28[/tex]
Divide through by 7
[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]
[tex]y<-4[/tex] -- This is true
I'll mark as brainliest!
Please help!
Answer: See explanation
Step-by-step explanation:
1. Decimal fraction: ¹⁵⁷/₁₀₀
Fraction: ¹⁵⁷/₁₀₀ or 1 ⁵⁷/₁₀₀
2. Decimal Fraction: ³¹²/₁₀₀
Fraction: ⁷⁸/₂₅ or 3³/₂₅
3. Decimal Fraction: ⁶³⁰/₁₀₀
Fraction: ⁶³/₁₀ or 6³/₁₀
4. Decimal Fraction: ¹¹⁰/₁₀
Fraction: ¹¹/₁
5. Decimal Fraction: ¹¹²/₁₀
Fraction: ⁵⁶/₅ or 11¹/₅
what are the powers of 3 through 1000? AND DONT JUST SAY A FEW I NEED ALL OF THEM
Answer:
1, 3, 9, 27, 81, 243, 729
Step-by-step explanation:
The powers of 3 are:
[tex]3^0 = 1[/tex]
[tex]3^1 = 3[/tex]
[tex]3^2 = 9[/tex]
[tex]3^3 = 27[/tex]
[tex]3^4 = 81[/tex]
[tex]3^5 = 243[/tex]
[tex]3^6 = 729[/tex]
[tex]3^7 = 2187[/tex]
And so on...
So through 1000: 1, 3, 9, 27, 81, 243, 729
Anna, Brianna and Caleb share some money in the ratio 5:3:7
Caleb receives £9.60 more than Brianna.
What was the total of the sum of money that was shared?
(3 punten)
Answer:
£36
Step-by-step explanation:
7-3=£9.60/4
4units=£9.60
1 u=£9.60÷4=£2.40
total units->5+3+7=15
15 units=15×£2.40=£36