Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles Nathan can travel in x hours?
Answers
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]1\ hr = 10\ miles[/tex]
Required
The graph that shows the number of miles in x hours
We have:
[tex]1\ hr = 10\ miles[/tex]
Multiply both sides by x
[tex]x * 1hr = 10miles * x[/tex]
[tex]xhr=10x\ miles[/tex]
So, the function is:
[tex]f(x) =10x[/tex]
Related Questions
Silvester ran around the field,
turning at each of the three backstops.
What was the average number of degrees
he turned at each of the three corners?
Answers
it is 76 ooooooooooooof
One number is three less than another number. Their product is 40. Find the numbers.
Answers
Answer:8 and 5
Step-by-step explanation:8 times 5 is 40 and 5 is 3 less than 8
which graph shows the solution to the inequality x - 5 is less than -2
Answers
Answer:
Your answer would be any graph that is similar to this:
Trey randomly selects one card a from a standard 52-card deck.
The probability that Treys cards will be a heart or a black-suited card is because the set of hearts and the set of black-suited
The probability that Trey's card will be a heart or a black-suited card is
cards are
sets
Answers
Answer:
3/4 AND MUTUALLY EXCLUSIVE
Step-by-step explanation:
PLATO
The probability that Trey's card will be a heart or a black-suited card is
3/4
What is probability?Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Deck of cards contains,
spade=13, heart=13, diamonds=13, clubs= 13
In which clubs and spades are black and hearts and diamonds are red.
Total (Black suited card with a heart) =26+13= 39
P( heart or a black-suited card)=39/52
=3/4.
Hence, probability of heart or a black-suited card is 3/4
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
what is 1/2 times 7/8 in simplest form please i really need help .
Answers
Answer:
7/16
Step-by-step explanation:
1.2 x 7/8 = 0.4375
0.4374 = 7/16
Answer:
In fraction form its 7/16. in decimal form its 0.4375
Step-by-step explanation:
Find what's 7/8 times of 1/2 in fraction form?
step 1 Address formula, input parameters & values.
Input parameters & values:
7/8*1/2
7/8x1/2= ?
step 2 Multiply both numerators
= 7 x 1
= 7
step 3 Multiply both denominators
= 8 x 2
= 16
step 4 Use above values of step 2 & 3, and rewrite as below
= 7/16
Thus, 7/16 is equivalent fraction for 7/8 times of 1/2.
Can anyone help? I’ll give Brainly, it’s not 5.5 x 60,000 :(
Answers
Answer:
2850
Step-by-step explanation:
You pay 3% on the first 10,000, 5% on the next 40,000, and 5.5% on the last 10,000.
10,000x.03=300
40,000x0.05=2000
10,000x.055=550
2000+550+300=2,850
May some one please answer this for me, if u are right i will give u brainliest
Answers
Answer:
b. 14x+4y
Step-by-step explanation:
The perimeter is determined by two times the length plus two times the width.
We will use the formula P = 2L+2W:
P = 2L+2W
P = 2(5x-y)+2(2x+3y)
P = (10x-2y)+(4x+6y)
P = 14x+4y
Select all the equations that are equivalent
Answers
Answer: all equal n=6
1st one
2nd one
3rd one
5th one
4(2n+1)=52
4=52-8n
n=6
hope it helps
stay safe love u
btw can i get brainliest
PLEASE HELP!!!!
Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.
sin(θ) =
cos(θ) =
tan(θ) =
csc(θ) =
sec(θ) =
cot(θ) =
Answers
cos(theta)=8/17
tan(theta)=-15/8
csc(theta)=-17/15
sec(theta)=17/8
cot(theta)=-8/15
Hope this helps
Answers:
sin(θ) = -15/17 cos(θ) = 8/17 tan(θ) = -15/8 csc(θ) = -17/15 sec(θ) = 17/8 cot(θ) = -8/15=======================================================
Explanation:
Refer to the diagram below. The point (8,-15) is in quadrant 4, which is the southeast quadrant. A right triangle forms where the hypotenuse goes from the origin to the terminal point in question. After applying the pythagorean theorem, the hypotenuse is 17 units long.
Opposite the reference angle θ, greek letter theta, the side is -15. Usually negative lengths are not allowed and don't make any sense; however, I'm making this negative to ensure that sin(θ) ends up negative. This will help with other trig ratios as well.
So,
sin(angle) = opposite/hypotenuse
sin(θ) = -15/17
-----------------
The cosine ratio will involve the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(θ) = 8/17
------------------
Tangent is opposite over adjacent
tan(angle) = opposite/adjacent
tan(θ) = -15/8
------------------
The functions csc(θ), sec(θ), and cot(θ) are the functions cosecant, secant, and cotangent in that order.
They represent the reciprocal of sine, cosine, and tangent in that order as well.
Eg: sec(θ) is the reciprocal of cos(θ)
This means,
csc(θ) = -17/15 which is the flip of sin(θ) = -15/17sec(θ) = 17/8 which is the flip of cos(θ) = 8/17cot(θ) = -8/15 which is the flip of tan(θ) = -15/8As an alternative, you could also say
csc(θ) = hypotenuse/opposite = 17/(-15) = -17/15sec(θ) = hypotenuse/adjacent = 17/8cot(θ) = adjacent/opposite = -15/8------------------------
Here's a list of formulas that you can write down on a reference sheet
sin(θ) = y/h cos(θ) = x/h tan(θ) = y/x csc(θ) = h/y sec(θ) = h/x cot(θ) = x/ywhere h is the hypotenuse and h = sqrt(x^2+y^2). Notice that something like tan = y/x is the reciprocal of cot = x/y. The x and y refers to the coordinates of the terminal point given to you. Make sure to reduce all fractions as much as possible. In our case, none of the fractions can be reduced any further.
Here it is jaded :):)
Answers
Answer:
9.03 = x
Step-by-step explanation:
Since we have the Hypotenuse given and we need to find the value of the adjacent side of the given angle we would use the Cosine Ratio;
Cos(46) = [tex]\frac{x}{13}[/tex]
To solve for "x" we would first have to isolate the "x" all to itself.
To isolate the variable, simply multiply 13 to the both sides of "="
=> Cos(46) * 13 = x
=> 9.03 = x
So you can write the answer in either of the 2 ways mentioned above, if you need a fully simplified answer the second answer would be a better fit. If u just need the Equation the 1st equation would be the better fit.
Hope this helps!
The sum of a number and 20 is equal to 25 plus 5. What is the number? * 25 puntos a. 15 b. 20 c. 10
Answers
Answer:
I believe your answer is 10! :)
JUST LOOK AT PICTURE THANK YOUUU
Main / sem
25.1.2 Exam: Semester Exam
A circle is sliced into 16 pieces and rearranged into a shape that looks like a
parallelogram. The dashed line indicates the base of the shape. Which
statement is correct?
O A. The base of the parallelogram is approximately equal to the
circumference of the circle.
O B. The base of the parallelogram is approximately equal to half the
circumference of the circle.
O C. The base of the parallelogram is approximately equal to the
diameter of the circle.
O D. The base of the parallelogram is approximately equal to the radius
of the circle
PREVIOUS
Answers
Answer:B half of the circumference
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
5. Lines p and q are parallel, and line w is a transversal. Which angle is not congruent to angle 1?
Answers
Answer:
∠2, ∠4, ∠6 and ∠8 are not congruent to ∠1.
Step-by-step explanation:
From the picture attached,
p and q are the parallel lines and w is a transversal.
∠1 ≅ ∠3 [Vertically opposite angles]
∠1 ≅ ∠5 [Corresponding angles]
∠1 ≅ ∠7 [Alternate exterior angles]
Therefore, ∠2, ∠4, ∠6 and ∠8 are not congruent to ∠1.
Hi guys! PLEASE HELP! I'm back with another probability problem I've struggling on. Please DO NOT leave any links or you will be reported.
Please help explain what I'm doing wrong and what I'm suppose to do. This is confusing me.
Pizza parlor A advertises 35 different three-topping pizzas. How many individual toppings does Pizzeria A actually use? Pizzeria B advertises 55 different two-topping pizzas. How many toppings does pizza parlor B actually use? (Hint: In these problems, you are given the total number of combinations, and you must find the number of toppings that are used.)
Pizza parlor A uses _____ nothing different toppings. (Type a whole number.)
Thank to anyone who decides to help :)
Answers
Answer:
Possibly 105?
Step-by-step explanation:
35 becuase (35 different three-topping pizzas) so 35x3=105?
if x=5, then 3x+4x-15 equals what
Answers
Answer: 20
Step-by-step explanation:
Data: x=5 and 3x+4x-15
First step, Insert the 5 and multiply
3(5)+4(5)-15=15+20-15
Second step, add 15+20=35
Final step, subtract 35-15=20
The answer is 20
I hope this helps!
Two sets of three consecutive integers have a property that the product of the larger two is
one less than 7 times the smallest. Set up and solve an equation that can be sue to find both
sets of integers. What are those sets of integers?
Answers
Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
Find the m2.
O a. m Q = 30 degrees
O b.mxQ = 60 degrees
O c. m Q = 70 degrees
O d. m2Q = 75 degrees
Answers
9514 1404 393
Answer:
d. m∠Q = 75 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.
∠P +∠Q +∠R = 180°
x° +(2x +15)° +(2x +15)° = 180°
5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30
x = 30 . . . . . . . . . . . . . . . . divide by 5
m∠Q = (2x +15)° = (2(30) +15)°
m∠Q = 75°
There are 35 red marbles, 8 blue marbles, and 7 green marbles in a bag. What is the theoretical probability of randomly drawing a red marble?
○ 35%
○ 25%
○ 42.9%
○ 70%
Answers
Answer:
70%
Step-by-step explanation: 35/50 equals 0.7
Answer:
70%
Step-by-step explanation:
The total number of marbles will be 35 + 8 + 7 = 50 marbles in total (all the colors added together). The probability of drawing a red marble will be the number of red marbles divided by the total marbles. This also fits the probability formula of (desired outcomes)/(total number of outcomes. Thus, we have 35 red marbles and 50 marbles in total. So, we get 35/50, which is 70%.
Write at least three expressions that are equivalent to 3(2x - 5)
Answers
Answer:
6x - 15
6x - (5 · 3)
(3 · 2x) - 15
So, for #1, we can just simplify 3(2x - 5) to get another expression:
3(2x - 5),
6x-15
For the next one, we could make a new equation that equals 6x-15:
(3x)+(3x)+(5 *-3)
Then for the last one, how about rewrite it so all of the values are inversely negated?
3(2x - 5),
-3(-2x +5)
There are 10 bags of cereal in a pantry. Each serving of cereal is 1/8 of a bag.
How many servings of cereal are there in the bags in the pantry?
Answers
Answer:
80 servings
Step-by-step explanation:
there is 8 serving per bag
Answer:
80
Step-by-step explanation:
Let servings be s and the bag be b
s = 1/8 b
multiply both sides by 8
8s = b
For 10 bags, it will be 10*8s = 80s which is 80 servings.
Please see attachment
Answers
Answer:
Relation 1: Not a function
Relation 2: Not a function
Relation 3: Function
Relation 4: Not a function
Step-by-step explanation:
Recall: a relation can only be a function if and only if each domain value has only 1 range value mapped to it or related to it. This means that a domain value can only have exactly one range value for the relation to be qualified a function.
✔️Relation 1 is NOT A FUNCTION.
Rationale: Two of the domain values (star and sky) is having more than 1 range value assigned to each.
✔️Relation 2 is NOT A FUNCTION:
Rationale: domain value, 9, has several range values assigned to it.
✔️Relation 3 is A FUNCTION:
Rationale: each domain value do not have more than one range values assigned to it.
✔️Relation 4 IS NOT A FUNCTION:
Rationale: the domain value, 6, has two range values, m and d, assigned to it.
i need help pls!
this test is about angles, and i am having trouble with it.
Answers
Answer:
Vertically opposit angle
Answer:
vertical ......................
Help pls I’ll give extra points
Answers
Answer:
Step-by-step explanation:
Forty-six percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 120 randomly selected individuals and found 48 believed that there is life on other planets.
(a) At α = 0.10, is there sufficient evidence to conclude that the percentage differs from 46?
Answers
Answer:
α = 0.10
Step-by-step explanation :
the percentage is different form 46
convert 1 1/4 pounds to ounces
Answers
Answer:
20 ounces
Step-by-step explanation:
The list shows the score of each game completed at a bowling alley during a one-hour period. 90, 96, 120, 124, 130, 135, 140, 145, 148, 290, 290.
How would the data graphed on a horizontal number line appear to be clustered or skewed? Explain your answer.
Would the mode of the data be an informative measure of center in this situation? Explain your answer.
would the median often of the data be less than or greater than the the mean? Explain your answer.
Based on the response to Part C, why is the median a less informative or more informative measure of center than less the mean?
Answers
please answer ill give you brialiest
Answers
Answer: can you please list the choices that are in the drop down box
Step-by-step explanation:
Answer:
The shortcut would be 53 yards
Step-by-step explanation:
Because trigonometry
IVE BEEN ASKING FOR HOURS!!!!!! PLEASE HELP ME ANYONE!!!!! Juliet coaches softball and soccer. she coaches both sports for 15 hours each day. soccer practice is 1.5 more hours more than 3 times as long as the softball practice. write a system of equations to model the situation.
Answers
Answer:
x + y = 15
y = 3x + 1.5
x + (3x + 1.5) = 15
Step-by-step explanation:
Let :
Soft ball practice = x
Soccer practice = y
y = 3x + 1.5
Total practice time :
x + y = 15 - - - (1)
x + 3x + 1.5 = 15
4x + 1.5 = 15
Work out the mean for the data set below: 5, 3, 3, 6, 2, 5, 2, 4, 7 Give your answer as a fraction in its simplest form.
Answers
Answer:
4 1/9
Step-by-step explanation:
Add all of them together. you get 37. Then divide them by how many numbers. You get 4.111 repeating. I then just turned that into a fraction and got 4 1/9
6in
4IN
The rectangle above is being enlarged
by a scale factor on 3.5.
Show your work to find the new
dimensions.