Answer:
9:15 am
Step-by-step explanation:
First you know the speed and you know the distance.
So now we have to find the time it took for him to get to school(ignore the waiting time first)
time=10/4=2.5h
now we add the waiting time,
2.5h+0.25h(15minutes is the same as 0.25h)=2.75h
convert 0.75h to minuts,
0.75*60=45minutes
6.30+2.45=9.15am
The boy arrived at school at 8:15 am after cycling for 2.5 hours and waiting for 15 minutes.
Given Distance from the boy's house to school = 10 km
Cycling speed = 4 km/h
Time spent waiting for his friend = 15 minutes
Now calculate the time it took for the boy to cycle the distance from his house to the meeting point, excluding the waiting time.
Distance = Speed × Time
10 km = 4 km/h × Time
Time = 10 km / 4 km/h
Time = 2.5 hours
Now, we need to convert the waiting time from minutes to hours, so we can add it to the cycling time.
Waiting time = 15 minutes / 60 minutes/hour
Waiting time = 0.25 hours
Add the cycling time and waiting time to determine the total time it took for the boy to reach school.
Total time = Cycling time + Waiting time
= 2.5 hours + 0.25 hours
=2.75 hours
We need to determine the arrival time by adding the total time to the departure time.
Arrival time = Departure time + Total time
Arrival time = 6.30 am + 2.75 hours
To calculate the arrival time, we need to consider the minutes and hours separately:
Minutes: 30 minutes + (0.75 hours × 60 minutes/hour)
= 30 minutes + 45 minutes
= 75 minutes
Since 75 minutes is more than an hour, we need to adjust the hours and minutes accordingly.
Adding the hours: 6 + 2 = 8
So, the boy arrived at school at 8:15 am.
Therefore, the boy arrived at school at 8:15 am.
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I’m not sure what it’s asking
Answer:
A, D, E, F and G
Step-by-step explanation:
It is asking for the elements of the set A which are integers
33 + 2(5+8) - (6-2)2 =
Answer:
51
Step-by-step explanation:
33+2(5+8)-(6-2)2
open the brackets FIRST
2(5+8) = 26
33+26-(6-2)2
33+18
= 51
hat are the two decisions that you can make from performing a hypothesis test? What are the two decisions that you can make from performing a hypothesis test? Select all that apply. A. make a type II error B. make a type I error C. reject the alternative hypothesis D. fail to reject the alternative hypothesis E. reject the null hypothesis F. accept the null hypothesis G. accept the alternative hypothesis H. fail to reject the null hypothesis
Answer:
One is :
C. reject the alternative hypothesis
F. accept the null hypothesis
The other is :
E. reject the null hypothesis
G. accept the alternative hypothesis
Another type of decision is when we
D. fail to reject the alternative hypothesis
E. reject the null hypothesis
and
H. fail to reject the null hypothesis
C. reject the alternative hypothesis
Step-by-step explanation:
There are two types of decisions that we can make .
One is :
C. reject the alternative hypothesis
F. accept the null hypothesis
The other is :
E. reject the null hypothesis
G. accept the alternative hypothesis
Another type of decision is when we
D. fail to reject the alternative hypothesis
E. reject the null hypothesis
and
H. fail to reject the null hypothesis
C. reject the alternative hypothesis
It is clear from the above that when we reject one hypothesis we accept the other hypothesis.
or
When we fail to reject one hypothesis we reject the other hypothesis.
How many acres are contained in a parcel described as follows: The NE ¼ of the NW ¼; the N ½ of the NW ¼, NE ¼, of Section 10?
Answer:
1.25 acres
Step-by-step explanation:
If we assume that both the semicolon (;) and the comma (,) mean "of the", then this will be ...
(1/4)(1/4)(1/2)(1/4)(1/4) of 640 acres = 1.25 acres
4(4+2x)=7(x-4)
A: The solution set is (_) Simplified
B: There is no solution
Pick one and if A then simplify the answer
Answer:
x=-44
Step-by-step explanation:
4(4+2x)=7(x-4)
[expanding the brackets]
16+8x=7x-28
[grouping like terms]
8x-7x= -28-16
x= - 44
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{x = -44}[/tex]
[tex]4(4+2x)=7(x-4)[/tex]
Solution :
[tex]4(4+2x)=7(x-4)[/tex]
[tex]( 2x + 4 ) = 7 ( x - 4 )[/tex]
[tex]4 . 2x + 4 . 4 = 7x - 7 . 4[/tex]
[tex]8x + 16 = 7x - 28[/tex]
[tex]( 8x + 16) + ( -16 - 7x ) = ( 7x - 28 ) + ( -16 - 7x )[/tex]
[tex]( 8x + 16 ) + ( -7x - 16) = (7x - 28 ) + ( -7x - 16)[/tex]
[tex]8x + 16 - 7x - 16 = 7x - 28 - 7x - 16[/tex]
[tex]8x - 7x + 16 - 16 = 7x - 7x - 28 - 16[/tex]
[tex]x = -44[/tex]
( A: The solution set is (_) Simplified )
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Hello! Stay safe and Please answer In a hurry Thanks!
Answer:
4
Step-by-step explanation:
An equilateral triangle has 3 equal sides.
So
4(x-1) = x +8
4x-4=x+8
3x=12
x=4
Same result obtained when comparing the other pairs of equations.
if x=10^a , y=10^b and x^b.y^a=100.prove that xy=1
Answer:
ab=1
Step-by-step explanation:
Assuming that you meant ab=1
[tex]x=10^{a}\\\\y=10^b\\\\x^b*y^a=100\\\\(10^a)^b*(10^b)^a=100\\\\10^{ab}*10^{ba}=100\\\\10^{ab+ba}=100\\\\10^{2ab}=100\\\\(10^2)^{ab}=100\\\\100^{ab}=100\\\\ab=1[/tex]this is because the exponents have to be equal
15x 18 + 12+ 3+ 9
Pemdas
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{294}}}}}[/tex]
Step-by-step explanation:
PEMDAS is a acronym which helps you to remember the order of operations.
PEMDAS stands for :
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Let's solve
[tex] \sf{15 \times 18 + 12 + 3 + 9}[/tex]
Multiply the numbers : 15 × 18 = 270
⇒[tex] \sf{270 + 12 + 3 + 9}[/tex]
Add the numbers : 270 + 12 + 3 + 9
⇒[tex] \sf{294}[/tex]
Hope I helped!
Best regards!!
Answer:
This would equal 294
Step-by-step explanation:
i added them up
Suppose a team of doctors wanted to study the effect of different types of exercise on reducing body fat percentage in adult men. The 57 participants in the study consist of men between the ages of 40 and 49 with body fat percentages ranging from 32%â34%. The participants were each randomly assigned to one of four exercise regimens.Ten were instructed to complete 45 min of aerobic exercise four times a week.Eleven were instructed to complete 45 min of anaerobic exercise four times a week.Nine were instructed to complete 45 min of aerobic exercise twice a week and 45 minutes of anaerobic exercise twice a week.Nine were instructed not to exercise at all.All participants were asked to adhere to their assigned exercise regimens for eight weeks. Additionally, to control for the effect of diet on weight loss, the doctors provided the participants with all meals for the duration of the study. After eight weeks, the doctors recorded the change in body fat percentage for each of the participants.The doctors plan to use the change in body fat percentage data in a one-way ANOVA F?test. They calculate the mean square between as MSbetween=11.632991 and the mean square within as MSwithin=1.261143. Assume that the requirements for a one-way ANOVA F?test have been met for this study.Choose all of the correct facts about the F statistic for the doctors' ANOVA test.A. The F statistic increases as the differences among the sample means for the exercise groups increase.B. The F statistic is 0.1084.C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.D. The F statistic indicates which exercise treatment groups, if any, are significantly different from each other.E. The F statistic has 4 degrees of freedom in the numerator and 38 degrees of freedom in the denominator.F. The F statistic is 9.2242.
Answer:
A. The F statistic increases as the differences among the sample means for the exercise groups increase.
C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.
F. The F statistic is 9.2242.
Step-by-step explanation:
Given that
Observations Samples Total
40-49 10 11 9 9 39
The degrees of freedom is given by
For numerator= k-1 = 4-1=3
For denominator= n-k= 39-4= 35
F statistic is given by
F= MS between/ MS within
=11.632991 / 1.261143 = 9.2242
Where
Mean Square Between = MS between = 11.632991
Mean Square Within = MS within = 1.261143
Hence the correct choices are A, C and F
A. The F statistic increases as the differences among the sample means for the exercise groups increase.
C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.
F. The F statistic is 9.2242.
Suppose we have
Mean Square Between = MS between = 18.632991
Mean Square Within = MS within = 1.261143
Then F statistic would be = 14.77468 > 9.2242
which tells that The F statistic increases as the differences among the sample means for the exercise groups increase.
If a=mg-kv2/m,find,correct to the nearest whole number the value of v when a=2.8,m=12,g=9.8 and k=8/3
Answer:
v = 23
Step-by-step explanation:
Formatting the question gives;
a = mg - kv² / m
Make v subject of the formula as follows;
(i) Multiply both sides by m
ma = m²g - kv²
(ii) Collect like terms
kv² = m²g - ma
(iii) Divide through by k
v² = (m²g - ma) / k
(iv) Take the square root of both sides
v = √ [(m²g - ma) / k] --------------(ii)
From the question:
a = 2.8
m = 12
g = 9.8
k = 8/3
Substitute these values into equation (i) as follows;
v = √ [(12²(9.8) - 12(2.8)) / (8/3)]
v = √ [(1411.2 - 33.6) / (8/3)]
v = √ [1377.6 / (8/3)]
v = √ [1377.6 x (3/8)]
v = √ [1377.6 x 3 / 8)]
v = √ [516.6]
v = 22.73
v = 23 [to the nearest whole number]
Therefore v = 23 to the nearest whole number
how many minutes are in 17 years
Answer:
Step-by-step explanation:
8.935e+6
Answer:
8.935e+6 minutes
Step-by-step explanation:
[tex]1 calendar year = 525600\\17 years\:\:\:\:\:\:\: = x\\\\x = 525600\times 17\\\\=8935200[/tex]
A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees. In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue? 54° 72° 108° 144°
Answer: Option B -- 72°
Step-by-step explanation:
If a town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. Using Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees. In trapezoid EFGH, EF ≅ HG. The measure of the angle between Elm Street and Pine Avenue is 72°
Answer:
b
Step-by-step explanation:
3. Why can the numerator and denominator of a rational expression be divided by their common factors? What conditions must be placed on the value of the variables when a rational expression is simplified?
Answer:
Step-by-step explanation:
Hello, do you agree that for any real number a (different from 0)
[tex]\dfrac{a}{a}=1[/tex]
?
5/5 = 1 for instance.
So, when you have the same common factor at the numerator and at the denominator you can eliminate it. For instance.
[tex]\dfrac{10}{4}=\dfrac{5*2}{2*2}=\dfrac{5}{2}\cdot \dfrac{2}{2}=\dfrac{5}{2}[/tex]
You just need to be careful with 0, as dividing by 0 is not allowed.
Hope this helps
Thank you.
PLEASE HELP ME ASAP The average of 16 consecutive odd numbers is 122. Find the smallest odd number. FIRST TO ANSWER GETS BRAINLIEST
Answer:
107
Step-by-step explanation:
Hello, Let's note n the odd number that we are looking for.
If n is odd, n+1 is even but n+2 is odd again and so on and so forth.
So, the 16 consecutive odd numbers are
n, n+2, n+4, ... n+2k, ,,,, ,n+30
It means that the average is:
[tex]\displaystyle \dfrac{1}{16}(n+(n+2)+...+(n+2k)+...+(n+2*15))\\\\=\dfrac{1}{16}\sum_{k=0}^{k=15} {(n+2k)}\\\\=\dfrac{1}{16}\left(n * 16 + 2 \sum_{k=1}^{k=15} {k} \right)\\\\=\dfrac{1}{16}\left(n * 16 + 2 (\dfrac{15*16}{2}) \right)\\[/tex]
And it must be equal to 122, so we can write.
[tex]\dfrac{1}{16}\left(n * 16 + 2 (\dfrac{15*16}{2}) \right)=122\\\\n+15=122\\\\n = 122-15=107[/tex]
Thank you.
a pharmaceutical salesperson receives a monthly salary of $5000 plus a commission of 7% of sales. write a linear equation for the salesperson’s monthly wage W in terms of monthly sales S. NEED TO TURN IT IN TODAY
Equation for the monthly wage will be → W = 0.07S + 5000
Given in the question,
Monthly salary of the sales-person = $5000Commission = 7% of total salesLet the total sales of a month = $S
Therefore, commission on this sale = 7% of $S
= $0.07S
Salary of the month = $5000
Total earnings (W) of the sales person = $(0.07S + 5000)
Therefore, equation for the monthly wage will be,
W = 0.07S + 5000
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The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal places.)
x 4 5 2 6 9
y 4 6 2 7 7
The regression equation is y (with a hat) = ______ + _______
When X is 7 this gives y (with a hat) = _________
Answer:
yhat=1.36+0.74x
when x=7 then yhat=6.54
Step-by-step explanation:
Th regression equation is
yhat=a+bx
where slope b is
[tex]b=\frac{nsumxy-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }[/tex]
and intercept a is
a=ybar-bxbar
x 4 5 2 6 9
y 4 6 2 7 7
xy 16 30 4 42 63
x² 16 25 4 36 81
n=5.
sumx=26.
sumy=26.
sumx²=162.
sumxy=155.
[tex]b=\frac{5*155-(26)(26)}{5*162-(26)^{2} }[/tex]
[tex]b=\frac{99}{134 }[/tex]
b=0.7388
b=0.74 (rounded to 2 decimal places)
xbar=sumx/n=26/5=5.2
ybar=sumy/n=26/5=5.2
a=ybar-b*xbar
a=5.2-0.7388*5.2
a=5.2-3.8418
a=1.3582
a=1.36 (rounded to 2 decimal places)
Thus, the required regression equation is
yhat=1.36+0.74x
When x is 7 this gives yhat
yhat=1.36+0.74*7
yhat=1.36+5.18
yhat=6.54
Roger pays $1187.20 for a computer. The price includes 6% sales tax. What is the price of the computer
itself?
the length of a rectangle is 4 cm less than 5 times its width its perimeter is 160 cm find its length and width
how do i solve this absolute value equation
2|5x|= 10?
Answer:
x=1 x = -1
Step-by-step explanation:
2|5x|= 10
Divide each side by 2
2/2|5x|= 10/2
|5x|= 5
Absolute values have 2 solutions, one positive and one negative
5x = 5 5x = -5
Divide each side by 5
5x/5 = 5/5 5x/5 = -5/5
x = 1 x = -1
Answer:
Step-by-step explanation:
● 2|5x| = 10
● 2 × |5| ×x = 10
5 is positive so |5| = 5
● 2×5× |x| = 10
● 10×|x| = 10
● |x| = 10
● x = 1 or x = -1
2) -On - 2n = 16
How do I solve this
Answer:
n = -8
Step-by-step explanation:
-0n - 2n = 16
- 2n = 16
n = 16/-2
n = -8
You are considering a certain telephone company. They charge S0.18 per minute of talking, plus a fixed base monthly fee of S70.If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C? Select the correct answer below
a) C = 0.18M + 70
b) M = 0.70C + 18
c) C = 0.70M + 18
d) M = 0.18C + 70
Answer:
a) C = 0.18M + 70
Step-by-step explanation:
Charges:
1. Monthly fee = S702. Charge for talking = S0.18 per minuteTotals, considering number of minutes:
S70 + S0.18*MSo the equation would be:
C = 0.18M + 70This is the option a)
There are two routes Lucas can take to walk to school. Route A is 2 and StartFraction 1 over 8 EndFraction miles and is StartFraction 3 over 8 EndFraction mile longer than route B. The equation b + StartFraction 3 over 8 EndFraction = 2 and StartFraction 1 over 8 EndFraction can be used to represent this situation, where b is the length of route B. How many miles will Lucas walk if he takes route B?
Answer:
1 3/4
Step-by-step explanation:
i took this quiz its the correct answer...
Answer:
B. ! 3/4 miles
Step-by-step explanation:
I got it right on edge.
Enter the number that belongs in the green box
Answer:
1
Step-by-step explanation:
Hi!
First we need to translate 2 units down. That means we need to subtract 2 from the y value. So now we have (-1,1).
For a 270 degree counterclockwise rotation the rule is to go from (x,y) to (y,-x)
So now we have (1,1). Since they're only asking for the x value, the answer is 1.
Answer:
[1, 1]
Step-by-step explanation:
Translation → [-1, 3] moves down to [-1, 1]
Now, a 90°-clockwise rotation is the exact same as a 270°-counterclockwise rotation, and according to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:
Extended Rotation Rules
270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)
270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)
180°-rotation >> (x, y) → (-x, -y)
Then, you perform your rotation:
270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]
( not my answer cr BasketballEinstein on brainly, i just saw that the same question like this one was already answered FULLY somewhere else )
1/5 divided by 3 is what
Answer:
the answer would be 1/15, or approximately 0.067.
Step-by-step explanation:
Find the value of x.
Answer:
x = 4
Step-by-step explanation:
Since, DE || AC... (GIVEN)
Therefore, by Basic Proportionality Theorem, we have:
BD/AD = BE/CE
(10-x) / x = 3/2
2(10 - x) = 3x
20 - 2x = 3x
20 = 2x + 3x
20 = 5x
x = 20/5
x = 4
Need to find the volume of these composite figures. Thank You!
Answer:
3. V = 1,498.24. V = 2,813.445. V = 96.293Step-by-step explanation:
3. Formula of a Cylinder + Formula of a Cone = Total
V=πr^2h + V=πr^2h
/3 = total
V = 3.14 * 36 * 10 + V = 3.14 * 36 * 10/3
V = 1,130.4 + V = 376.8 = Total
V = 1,498.24. Formula of Cone + Formula of Cone = Total
V=πr^2h
/3 + V=πr^2h
/3 = Total
V = 3.14 * 36 * 8/3 + V = 3.14 * 100 * 8 = Total
V = 301.44 + 2,512 = Total
V = 2,813.445. Formula of a cylinder + formula of a sphere = Total
V=πr^2h + V=4
/3πr^3 = Total
V = 3.14 * 4 * 5 + V = 4/3 * 3.14 * 8
V = 62.8 + V = 33.493 = Total
V = 96.293DEFINITELY hope this helped,
Kavitha
Solve the following (^ this sign symbolizes the power) 7). 4^2 8). 7^2 9). 6^4 10). 1^2 11) 5^3 12) 1^3
Answer:
7. 4^2 = 6
8. 7^2 = 49
9. 6^4 =1296
10. 1^2 = 1
11. 5^3 =125
12. 1^3 =1
Step-by-step explanation:
Trigonometry-Logarithm Question..Please help..
Answer:
[tex]$x=\frac{25\pi }{12} \text{ and }x=\frac{29\pi }{12}[/tex]
Step-by-step explanation:
Solve
[tex]\log_2(2 \sin x) + \log_2(\cos x) =1[/tex]
in interval [tex]$\left(2\pi, \frac{5\pi}{2} \right)$[/tex]
Remember that logarithms follow:
[tex]f(x\cdot y)=f(x)+ f(y)[/tex]
Therefore
[tex]\log_2(2 \sin x) + \log_2(\cos x) =-1 \implies \log_2(2 \sin x \cdot \cos x) =-1[/tex]
We got a double angle of sine:
[tex]\sin(2x)= 2 \sin x \cos x[/tex]
[tex]\log_2( \sin 2x ) =-1[/tex]
[tex]2^{-1}=\sin 2x[/tex]
[tex]$\frac{1}{2} =\sin 2x$[/tex]
The solutions for it are:
[tex]$2x=\frac{\pi }{6}+2\pi n \text{ and }2x=\frac{5\pi }{6}+2\pi n, \text{ as } n\in \mathbb{Z}$[/tex]
As
[tex]$x=\frac{\pi }{12}+\pi n \text{ and }x=\frac{5\pi }{12}+\pi n, \text{ as } n\in \mathbb{Z}$[/tex]
But we have the interval
[tex]$\left(2\pi, \frac{5\pi}{2} \right)$[/tex]
Therefore, the answer is
[tex]$x=\frac{25\pi }{12} \text{ and }x=\frac{29\pi }{12}[/tex]
Complete the square: x2+7x+?=(x+?)2
Answer:
[tex] {x}^{2} + 7x + \frac{49}{4} = {(x + \frac{7}{2}) }^{2} [/tex]
Explanation:
[tex] {x}^{2} + 7x + a = {(x + b)}^{2} [/tex]
[tex] {x}^{2} + 7x + a = {x}^{2} + 2bx + {b}^{2} [/tex]
compare the x co-efficient
[tex] 7 = 2b[/tex]
[tex] b = \frac{7}{2} [/tex]
compare the constants
[tex]a = {b}^{2} [/tex]
[tex]a = {( \frac{7}{2}) }^{2} [/tex]
[tex]a = \frac{49}{4} [/tex]
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth)
Answer:
unit rate = cost/weight
Step-by-step explanation:
To find the unit rate, divide the cost by the weight of each brand.
The lower unit rate represents a lower price, so that is the one you choose.
Answer:
Brand B.
Step-by-step explanation: Jacob should pick Brand B because he will save money. This is because if he buys 8 ounces 6 times, he will have to pay about $17.94, but if he buys 16 ounces 3 times, he will only spend $14.97.
Hope this helps! :)