Answer:
The distance between them after 1 hour and 30 minutes will be of 63.64 miles.
Step-by-step explanation:
This question can be solved using the Pythagorean Theorem.
Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.
The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So
[tex]d^2 = 45^2 + 45^2[/tex]
[tex]d = \sqrt{45^2 + 45^2}[/tex]
[tex]d = 63.64[/tex]
The distance between them after 1 hour and 30 minutes will be of 63.64 miles.
In Steven's grade, 12 students are enrolled in health and 48 students are not. What percentage of the students in the school are enrolled in health?
Answer:
20%
step-by-step way
Simplify:-8у – (х- 4x) +3y
Answer:
=3x−5y
Step-by-step explanation:
Answer: =3x−5y
Step-by-step explanation:
What is the probability of picking one blue marble out of a bag containing 4 red, 5
blue, and 1 yellow marble?
Answer: 50:50
Step-by-step explanation:
Help me please and thank you
Andy and Jim are going to compete in the 100-meter dash against each other. Let AAA be the time it takes Andy to complete the race, and JJJ be the time it takes Jim to complete the race. Based on previous results, they know that \mu_A=11.5μ A =11.5mu, start subscript, A, end subscript, equals, 11, point, 5 seconds and \sigma_A=1σ A =1sigma, start subscript, A, end subscript, equals, 1 second. They also know that \mu_J=10.5μ J =10.5mu, start subscript, J, end subscript, equals, 10, point, 5 seconds and \sigma_J=0.5σ J =0.5sigma, start subscript, J, end subscript, equals, 0, point, 5 seconds.
Answer:
μd= 1 second
σd= square root (1.25) = √1.25 seconds= 1.1180 seconds
Step-by-step explanation:
Assume that their times are independent. Let DDD be the difference between their times in a random 100-meter dash (D=A-J)(D=A−J)left parenthesis, D, equals, A, minus, J, right parenthesis.
Find the standard deviation of DD
The mean difference is found out by subtracting the individual means.
The mean difference = μd= μA- μJ= 11.5- 10.5= 1 second
The difference standard deviation is given by the square root of sum of the individual variances divided by n. But here n1= n2= 1
σd = sqrt( σ1² / n1 + σ2 ²/ n2 )
First we calculate the variances.
Variance is the square of the standard deviation.
The variance of Andy =σA²= 1²= 1
The variance of Jim =σJ²= (0.5)²= 0.25
The standard deviation difference= σd= √σ²A+ σ²J/1= √1+ 0.25/1= √1.25/1 = √1.25 seconds = 1.1180 seconds
The dolphins are feed 64 buckets of fish each day. The penguins are feed 1/8 as many buckets of fish as the dolphins. How many buckets of fish do the penguins eat?
Answer:
8
Step-by-step explanation:
You just gotta divide 64 by 8
Help me please! I am in desperate need
Answer:
C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
Step-by-step explanation:
The binomial theorem is given as:
[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]
[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].
*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]
Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
Pierce swims ina pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?
Answer:
B
Step-by-step explanation:
I think
An hourly worker whose wage is $15 per hour will be paid how much for an eight-hour shift?
Answer:
the answer is $120
Step-by-step explanation:
because I multiply 15 x 8 = 120 so the hourly worker will have $120 from an eight hour shift or else you can use a calculator too
The required wage for the eight-hour shift is $120.
An hourly worker whose wage is $15 per hour will be paid. How much for an eight-hour shift to be determined.
In mathematics, it deals with numbers of operations according to the statements.
Here,
$15 wage = 1 hour
Multiply both sides by 8
$15*8 = 1*8 hour
$120 = 8 hour
Thus, the required wage for the eight-hour shift is $120.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
A rugby team had 45 players show up for tryouts last year. This year 60 players came to tryouts. What was the percent increase in the number of players that showed up this year compared to last year?
Question 5 options:
33%
133%
75%
175%
Answer:
60-45= 15
15/45= 0.33
0.33 X 100 = 33%
Select all quadrilaterals that have 180 degree rotational symmetry,
A. trapezoid
B. isosceles tapezoid
parallelogram
D. rhombus
E. rectangle
F. square
Parallelogram and Rectangle has rotational symmetry of 180 degree.
Trapezoid has rotational symmetry = 360 degree.
Isosceles Trapezoid has rotational symmetry = 360 degree.
Parallelogram has rotational symmetry = 180 degree.
Rhombus has rotational symmetry = 90 degree.
Rectangle has rotational symmetry = 180 degree.
Square has rotational symmetry = 90 degree.
Learn more: https://brainly.com/question/20969283
The supply and demand for vintage vinyl records are shown. Where is the equilibrium point.
Answer:
The point where the demand curve and the supply curve meets
Step-by-step explanation:
The equilibrium point is the point at which the quantity of vintage vinyl supplied and the quantity demanded is equal at a particular price.
From the graph, the equilibrium point is the point at which the demand curve and the supply curve intersects.
So, the equilibrium point if vintage vinyl is at the point somewhere between the price of 20 and 30, and the point where the quantity is somewhere between 50 and 100.
Answer:
at the intersection of the 2 lines at that dot that is on both lines
Step-by-step explanation:
Please Help!
B belongs to AC D belongs to lineAF
Answer:
x = 27
Step-by-step explanation:
∠ CAD and ∠ EDF are corresponding angles and are congruent, so
∠ CAD = 2x
The sum of the 3 angles in Δ ABD = 180°
sum the angles and equate to 180
72 + 2x + 2x = 180
72 + 4x = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
3. Graph the quadrilateral with the given vertices. Give the most descriptive name for the polygon. F(1,2). G(3,0), H(1,-2).
Answer:
Expand on the name.......
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!
Answer:
n>3
Step-by-step explanation:
the first one is 3 hopefully i am right
A carnival has a ring-toss game where players try to toss rings around a stick. A player gets two attempts in a game. Let X represent the number of rings a randomly chosen customer successfully tosses around the stick in a game. Based on previous data, here's the probability distribution of X along with summary statistics:
X=\text{\# of successes}X=# of successesX, equals, start text, \#, space, o, f, space, s, u, c, c, e, s, s, e, s, end text 000 111 222 P(X)P(X)P, left parenthesis, X, right parenthesis 0.900.900, point, 90 0.080.080, point, 08 0.020.020, point, 02 Mean: \mu_X=0.12μ X =0.12mu, start subscript, X, end subscript, equals, 0, point, 12 Standard deviation: \sigma_X\approx0.38σ X ≈0.38sigma, start subscript, X, end subscript, approximately equals, 0, point, 38
A player wins 10 tickets for each successful toss. Let T represent the number of tickets a randomly chosen players wins in a game. What are the mean and standard deviation of T?
Answer:
2
Step-by-step explanation:
i think
Answer:
1.2
3.8
Step-by-step explanation:
khan
EMERGENCY HELP PLEASE
Answer:
blue= x
pink=2x
green= 4x
orange=8
=
7x+8
Step-by-step explanation:
What is the result when the number 52 is decreased by 50%?
Answer: You get 26, If this wasn't what you were looking for let me know! :)
Step-by-step explanation:
Give four reasons why you think mathematics should be taught in primary schools
Answer:
i) Because so that we can understand them steps by step
ii)We could enjoy when we study in school
Answer:
because it helps the kid to make
1. base at mathematic
2.helps to change thinking way that math is hard
3. makes future bright like elon- musk
4. it helps to make stable in basic math calculation
A soccer team has 12 girls and 18 boys. The team is split into groups that have the same ratio of girls to boys as that of the whole team. How many girls are in the group that has nine boys? A) 9b to 6g (B 9b to 12g (C 9b to 3g
Answer:
A. 9boys to 6girls
Step-by-step explanation:
If the original ratio of boys to girsl was 18 boys to 12 girls, then the simplified ratio is 3 boys to every 2 girls.
3:2
9:?
Divide 9/3=3
So the simplified ratio times 3 would give you the ratio if boys to girls when there are 9 boys
2*3=6
6 girls when there are 9 boys
How does the structure of a leaf enable photosynthesis to take place?
PLEASE HELP I KNOW THIS IS NOT FOR MATH BUT I DID NOT FIND SCIENCE :(
Answer:
Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.
One season, the Cougars won 20 games. They played a total of 25 games.
Use the equation 20 + g = 25 to find g, the number of games the team lost.
Answer:
The team lost 5 games
Step-by-step explanation:
Hope i helped
CORRECT ANSWER AND I WILL THANK, GIVE 5 STARS, AND GIVE BRAINLIEST!!!!
System Of equations:
Solve by elimination:
7x + 2y = 13
x - 2y = 11
Group of answer choices
(3 . -4)
(3 , 4)
(4 , 3)
(-4 , -3)
[tex](7x + 2y) + (x - 2y) = 13 + 11 \\ 8x = 24 \\ x = \frac{24}{8} \\ x = 3[/tex]
Substitute x = 3 in any given equations.[tex]x - 2y = 11 \\ 3 - 2y = 11 \\ 3 - 11 = 2y \\ - 8 = 2y \\ \frac{ - 8}{2} = y \\ - 4 = y[/tex]
Answer Check
Substitute x = 3 and y = - 4 in both equations.[tex]7x + 2y = 13 \\ 7(3) + 2( - 4) = 13 \\ 21 - 8 = 13 \\ 13 = 13[/tex]
[tex]x - 2y = 11 \\ 3 - 2( - 4) = 11 \\ 3 + 8 = 11 \\ 11 = 11[/tex]
Both equations are true for x = 3 and y = 4.
Answer[tex] \large \boxed {(3, - 4)}[/tex]
Feel free to ask if you have any questions related to the answer or the explanation.
Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)
Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
Jenny's kite has gotten stuck at the top of a tree. If the kite's string is 40 feet long and Jenny is 24 feet away from the tree, about how much taller is the tree than Jenny? (Round to the nearest foot.)
Um, 16 I guess, I'm not sure
An expression is evaluated as shown below.
8 + 3 × (4 ÷ 2) − 7
Step 1: 8 + 3 × 2 − 7
Step 2: 11 × 2 − 7
Step 3: 22 − 7
Step 4: 15
In which step does a mistake first appear?
Answer:
Step 2: 11 × 2 - 7
Step-by-step explanation:
unzsun sun dn I'd i
The quotient of 3 times a number n and 6 is 8. What is the value of n?
A.
24
B.
48
C.
4
D.
16
Answer:
d
Step-by-step explanation:
pls help, you have to write in fraction form.
Answer:
42/145
Step-by-step explanation:
i tried might be wrong
Help will give brainly and thanks
I have 5 mins
Answer:
no
Step-by-step explanation:
Find the domain and range. Graph the relation and determine whether it is a function or not
{(0,0)(1,-1),(2,-4),(3,-9),(4,-16)}
please help im about to fail math
The domain is the set of all x-coordinates and
the range is the set of all y-coordinates.
So the domain for this relation is {0, 1, 2, 3, 4}
and the range is {0, -1, -4, -9, -16}.
Now, I graph these points below.
For the relation tobe a function, it must pass the vertical line test.
If we can draw a vertical line that passes through only one point
anywhere on the graph, the relation is a function.
Notice that if you were to draw a vertical line,
no line would intersect two points on the same line.