Answer:
Jeff is moving faster.
Step-by-step explanation:
To compare two speeds, first we make them in one unit.
We know that,
1 km/h = 0.2777 m/s
7 km/h = 1.94 m/s
Jeff can run at a speed of 7 km/h i.e. 1.94 m/s while Cameron can run with a speed of 10 m/min or 0.167 m/s.
On comparing 1.94 m/s and 0.167 m/s, we found that Jeff is moving with more speed.
So, Jeff is faster.
Increase £16470.45 by 13.5% Give your answer rounded to 2 DP. Someone help pls
Answer: £18693.96
Step-by-step explanation:
13.5% = 0.13516470.45 + 16470.45(0.135)
= 16470.45(1 + 0.135)
= 16470.45(1.135)
≈ 18693.96
Prove That
cot 2A + tan 2A cot 2A-tan 2A = sec 4A
Answer:
*Refer the graph
Step-by-step explanation:
Blue : y= cot 2A + tan 2A cot 2A-tan 2A
domain a ≠ kπ/4
Yellow : y= sec 4A
domain a ≠ π/8 + kπ/4
vertical intercept (0,1)
Solve the inequality 6 is greater or equal than m- 1
Answer:
7 ≥ m OR m ≤ 7
Step-by-step explanation:
You can actually solve this in two ways , either :
6 ≥ m - 1
6 + 1 ≥ m
7 ≥ m
OR
m -1 ≤ 6
m ≤ 6 + 1
m ≤ 7
Both are correct.
Below are the ages of the employees of a small gift shop in town. Describe the data using the five number summary.
17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25
helppppp pleaseeeee
median is 26
maximum is 44
minimum is 17
third quartile is 40
first quartile is 18
should be correct but I'm not sure
The median is 26, the maximum value is 44. The minimum value is 17. The third quartile is 40 and first quartile is 18.
What are quartiles?
When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.
The given data set is;
17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25
The data using the five-number summary.
The median is 26
The maximum value is 44
The minimum value is 17
The third quartile is 40
The first quartile is 18
Learn more about quartiles here:
brainly.com/question/9260741
#SPJ2
The third National Health and Nutrition Examination Survey collected body fat percentage (BF%) and gender data from 13,601 subjects ages 20 to 80. The average BF% for the 6,580 men in the sample was 23.9, and this value was 35.0 for the 7,021 women. The standard error for the difference between the average men and women BF%s was 0.114. Do these data provide convincing evidence that men and women have different average BF%s. You may assume that the distribution of the point estimate is nearly norma
Answer:
Yes, the data provides convincing evidence that men and women have different average BF%s
Step-by-step explanation:
The given parameters are;
The number of the subjects ages 20 to 80 = 13,601
The body fat percentage, BF%, for the 6,580 men, [tex]\overline x_1[/tex] = 23.9
The body fat percentage, BF%, for the 7,021 women, [tex]\overline x_2[/tex] = 35.0
The standard error for the difference between the average men and women = 0.144
The null hypothesis, H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
The test statistic = (35.0 - 23.9)/(0.114) = 97.368
Therefore, given that the z-test is larger than the critical-z, we reject the null hypothesis, H₀, therefore, there is convincing statistical evidence to suggest that men and women have different body average BF%
Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form.
Answer:
[tex]a_n = -11-14n[/tex]
Step-by-step explanation:
Given
[tex]a_1 = -25[/tex]
[tex]a_n = a_{n-1}-14[/tex]
Required
The explicit formula
First, calculate [tex]a_2[/tex]
Set n=2; So:
[tex]a_2 = a_{2-1}-14[/tex]
[tex]a_2 = a_{1}-14[/tex]
Substitute -25 for [tex]a_1[/tex]
[tex]a_2 = -25-14[/tex]
[tex]a_2 = -39[/tex]
Calculate the common difference (d)
[tex]d = a_2 - a_1[/tex]
[tex]d = -39 --25[/tex]
[tex]d = -14[/tex]
So, the nth term is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = -25+ (n - 1)*-14[/tex]
Open bracket
[tex]a_n = -25-14n + 14[/tex]
Collect like terms
[tex]a_n = 14-25-14n[/tex]
[tex]a_n = -11-14n[/tex]
Find the missing side of the right triangle if two sides are 6, and 10
Given f(x) = x^3 - 9x and g(x) = x^2, choose
the expression for (fºg)(x).
Answer and Step-by-step explanation:
We are given two functions, f and g. We are asked to find the value of f evaluated at g(x).
Here, we need to plug in every value of x in f(x) with the value of g(x).
f(g(x)) = [tex](x^2)^3-9(x^2)[/tex]
An exponent raised by an exponent results in the exponents multiplying together.
f(g(x)) = [tex]x^6 - 9x^2[/tex] <- This is the final answer.
I hope this helps!
#teamseas #PAW (Plant And Water)
Over what interval is the parabola below decreasing?
if P = (1,6) find r90° (P)
Answer:
(-6,1) got you homie
Step-by-step explanation:
Find ordered pairs for y= 2x + 3 if x is {1,2,3}
Answer:
(1,5),(2,7),(3,9)
Step-by-step explanation:
x= 1
=> y=2*1+3 = 5
x=2
=> y=2*2+3 = 7
x=3
=> y=2*3+3 = 9
someone help me please with this algebra problem
Answer:
x=44-y
Step-by-step explanation:
In this problem, there are 44 glasses in total. Additionally, we want to know how many ice teas she can have; therefore, we must find x. The problem tells us that when x and y are added together they should equal 44. One way to solve this is to write the equation, x+y=44, because we know it is true and then solve for x. To find x subtract y from both sides. This equals x=44-y, the final answer.
Find the equation of the line.
Use exact numbers.
Answer:
Y = 2x + 5
Step-by-step explanation:
2x is your slope and 5 is your y intercept.
The formula for this is: y = mx + b
What goes in the blanks? The measure of angle θ is 7π/4. The measure of its reference angle is _____°, and tan θ is ______?
Answer:
The measure of angle θ is 7π/4. The measure of its reference angle is 45°, and tan θ is -1.
Answered by GAUTHMATH
pls help me i’m so stuck
Answer:
Step-by-step explanation:
If a point (x, y) is reflected across y = -x, coordinates of the image point will be,
(x, y)→ (-y, -x)
Following this rule,
Vertices of the triangle will be,
(3, 1) → (-1, -3)
(3, -2) → (2, -3)
(6, -3) → (3, -6)
Therefore, image of the given triangle A will be,
(-1, -3), (2, -3) and (3, -6)
Se conoce que 6 jarras cuestan lo mismo que 5 cubiertos y que 3 cubiertos cuestan S/. 7.20, ¿Cuánto costarán 7 jarras? (2 PUNTOS)
Answer:
7 jarras costarán 14 $
Step-by-step explanation:
Si 3 cubiertos cuestan 7.20 $
1 cubierto cuesta 7.20/3 = 2.40 $
y 5 cubiertos cuestan 5* 2.40 = 12 $
que también cuestan 6 jarras = 12 $
Luego 1 jarra cuesta 12/6 = 2 $
Por lo que 7 jarras costarán: 7 * 2 = 14 $
Ten years from now, Abdul will be twice as old as his son pavel ten years ago, Abdul was seven times as old as pavel how old are Abdul and pavel now?
Answer:
Age of Pavel = y - 10
→ x - 7y = -60. Now, Calculating X. Hence, Present age of Abdul = 38.
Step-by-step explanation:
hope this is helpful.
Which of the following are remote interior angles of _1? Check all that apply.
u A. 25
I B. 26
III C. 21
D. 24
E. 23
F. 22
Answer:
angle 3
angle 2
Step-by-step explanation:
Mathematically, from the angle sum theorem of triangles, the sum of two opposite interior angles of a triangle equals the exterior angle on the third side
Now, for angle 1, it is an exterior angle for angle 4
The two other opposite interior angles that would make angle 1 is simply angles 3 and 2
please help i have to resit math final so bare with me
help me with this equation : x^2 - 7 = 0 IN QUADRATIC EQUATION
PS. 1st one to answer gets a brainly crown :)
a package is accidentally dropped from a helicopter from a height of 3,136ft. if the equation for height as a function of time is h(t) = -16t^2 + initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for the package to hit the ground?
Answer:
t = 14 seconds
Step-by-step explanation:
Given that,
A package is accidentally dropped from a helicopter from a height of 3,136ft.
The equation for height as a function of time is :
[tex]h(t) = -16t^2 + \text{initial height}[/tex]
So,
[tex]h(t) = -16t^2 +3,136[/tex]
When it hits the ground, h(t) = 0
So,
[tex]-16t^2 +3,136=0\\\\-16t^2=-3136\\\\t^2=\dfrac{3136}{16}\\\\t^2=196\\\\t=14\ s[/tex]
So, it will take 14 seconds for the package to hit the ground.
CUALES SON LOS GRADOS PARA HACER UNA GRAFICA DE PASTEL, CON LOS SIGUIENTES PORCENTAJES( 20%,50%,10%)
Answer:
Lo primero que debemos saber, es que la gráfica de pastel nos permite dividir a una población, la cual sería el 100%, en porcentajes menores que representan algo.
En este caso tenemos los porcentajes 20%, 50%, 10% (notar que no suman 100%, entonces nos falta algún porcentaje)
Bueno, como sabemos el gráfico (el cual es un círculo) representa el 100%.
Y en un círculo, tenemos un ángulo de 360°
Entonces comenzamos con la equivalencia:
360° = 100%
Entonces, ¿a que grado corresponde el 50%? Planteamos la ecuación:
x = 50%
Si tomamos el cociente entre las ecuaciones:
x = 50% y 360° = 100%
obtenemos:
x/360° = 50%/100%
resolviendo para x, obtenemos:
x = (50%/100%)*360° = 0.5*360° = 180°
Para los otros porcentajes hacemos lo mismo.
Para el de 20% tenemos:
y = 20%
planteamos la ecuación:
y/360° = 20%/100%
y = 0.2*360° = 72°
Finalmente, para el de 10% tendremos:
z = 10%
planteando la ecuación como antes:
z/360° = 10%/100%
z = 0.1*360 = 36°
Asi, hemos encontrado los grados correspondientes para cada porcentaje.
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there were 4605 no votes, what was the total number of votes?
I need it by tonight for a pop quiz tomorrow
Answer:
Try to do it yourself, since you have a test tomorrow
Good luck
Step-by-step explanation:
5: 4605
13 (8+5):
[tex] \frac{4605}{5} \times 13 = [/tex]
=Your answer
Please help! Awarding Brainly :)
Answer:
Step-by-step explanation:
What
Is the volume of this object
Answer:
100
Step-by-step explanation:
5x4=20
20x5=100
Can someone help me with this math homework please!
Answer:
The first one is X=4
the second one is 5n - 300= 1,500
Step-by-step explanation:
I need help with this, Im never good with these
Answer:
(a) basketball
(b) hat
(c) stuffed animal
explanation:
I'm not sure if got right but from what i see;
Chances from 1-23 you get a stuffed boi
Chances from 24-54 you get a hat (why)
Chances from 55-100 you get a basketball
Winner 5 got 90, which is between 55-100
Winner 6 got 35, which is between 24-54
winner 8 got a 7, which is between 1-23
Hope I didn't read it wrong
Find the length of CZ
A. 32
B. 45
C. 9
D. 1
Answer:
c
Step-by-step explanation:
just took it
Answer:
D. 1
Step-by-step explanation:
CA = 17
ZA = 16
CZ + ZA = CA
CZ + 16 = 17
CZ = 1
D. 1
algebra help pls answer
Answer:
[tex]\frac{-1+1}{0-(-2)}=0[/tex]
[tex]ANSWER: A)~0[/tex]
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HOPE IT HELPS
HAVE A GREAT DAY!!
Meena has ₹600 in the form of notes of ₹10 and ₹20 denomination. Number of ₹10 notes is three times the number of ₹20 notes. Find the number of notes of each denomination.
Answer:
Meena has twelve (12) ₹20 notes and thirty six (36) ₹10 notes
Step-by-step explanation:
The amount Meena has as notes in ₹10 and ₹20 denominations = ₹600
The number of ₹10 notes = 3 × The number of ₹20 notes
Let 'x' represent the number of ₹20 notes Meena has, we get;
The number of ₹10 notes = 3 × x
The total number of notes = x × 20 + 3·x × 10 = 50·x = ₹600
∴ 600/50 = 12
The number of the ₹20 notes, x = 12
The number of the ₹10 = 3 × x
∴ The number of the ₹10 = 3 × 12 = 36
Instructions: Find AB. given that line AD is the perpendicular bisector of BC.
Answer:
19
Step-by-step explanation:
because line a d divided the triangle ABC into two equal halves therefore line a b is equal to line AC which is equal to 19