Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour. the rates that Latoya charges for x hours of tutoring are modeled with with the function shown.
Choose.. will charge (5,10,15,20) more to tutor for 5.5 hours
Answers
Answer:
Latoya will charge $10 more to tutor for 5.5 hours
Step-by-step explanation:
We shall look at the total charges of both tutors individually.
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.
This means that for the first hour, Oscar charges $25.
For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.
If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.
For 5.5 hours, the cost of Oscar's tutoring is
$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.
Now, we shall look at Latoya's tutoring cost.
f(x) =
30x,
[tex]0 \leqslant x \leqslant 3[/tex]
20x,
[tex]3 < x \leqslant 6[/tex]
10x,
[tex]x > 6[/tex]
The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.
Hence, the tutoring cost for Latoya is $20*5.5 = $110.
In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.
Related Questions
The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the mode
Answers
Answer:
118
Step-by-step explanation:
Mode refers to a value that appears most frequently in a data set.
For example the mode in the data set below is 3 :
1, 2,3 4,3,3,9,10
3 is the mode because it appears 3 times while others appear once in the data set while the other values appear only once.
Mode is a measure of central tendency
118 appears 3 times while others appear once so it is the mode
PLEASE HELP ME!!! THANK YOU i really need it
The radius of a circle is 6 inches. What is the area of a sector bounded by a 102° arc?
give exact answer in simplest form
explaining your answer = brainliest/ five stars
Answers
Answer:
10 1/5 pi
Step-by-step explanation:
First find the area of the circle
A = pi r^2 = pi *6^2 = 36 pi
Then find the fraction of the circle that is shaded
A circle is 360 degrees
102/360 =17/60
Multiply the fraction by the area
17/60 * 36 pi
51/5 pi
10 1/5 pi
Answer:
32.04
Step-by-step explanation:
firstly area of a sector is angle/360 multiplied by pi *r squared
so in this case it is going to be 102/360 *pi *6^2
6 squared is 36 all multiplied by pi and 106/360
it is advisable that you enter them all at once in your calculator
the final answer will be32.0444507
which is rounded to 32.04
Find the length of AB.
A
O 140°
8 m
B
Round your answer to the nearest hundredth.
ÁB = [ ? ]m
:)
Answers
Answer:
19.55m
Step-by-step explanation:
We solve the above question using the formula for Arc Length
The formula of Arc length when central angle is given in degrees = Length of AB
= θ/360 × 2πr
Central angle = θ = 140°
Radius = r = 8m
Hence,
Length AB = 140/360 × 2 × π × 8
= 19.547687622 m
Approximately to the nearest hundredth, the length of AB = 19.55m
PLEASE HELP MEEEE:((
Answers
Answer:
g(x)=[tex](3x)^{2}[/tex]
Step-by-step explanation:
In this graph g(x) will be equal to g(x)=[tex](3x)^{2}[/tex]. Multiplying a squared variable will close the parabola together, but multiplying the variable itself and then calculating the square will exponentially close the parabola. Without the parenthesis x would be substituted for 1, 1 squared is 1 and multiplied by 3 would be 3. Therefore, giving you a coordinate of (1,3). With parenthesis that would be 3 times greater which would give you a coordinate of (1,9) as can be seen in the graph attached below.
BRAINLIEST FOR CORRECT ANSWER.
I drew what option c was for the third answer
Answers
Answer:
B A B
Step-by-step explanation:
Answer:
1. A or one meter
2. A or 4 kilometers
3. B or 4 thousand strides
Step-by-step explanation:
marathon is 4 kilometers and a kilometer is 1000 strides or meters.
Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help her concentrate better, she dances for 20 minutes longer than she works on math.
How much time does Pam spend practicing math every day? Show your work.
Answers
Answer:
30 minutes
Step-by-step explanation:
20+30+20--80
A swimmer breaks a world record by 0.07 seconds. The old record was 49.51 seconds. What is the swimmer's new world record?
a. 49.58 seconds
b.49.44 seconds
c.48.81 seconds
d.48.58 seconds
Answers
Answer:
B
Step-by-step explanation:
Simply subtract 0.07 from 49.51 too get 49.44.
Hope that this helps!
Whats 8^6 ÷ 8 pls ty :D
Answers
Answer:
[tex] {8}^{6} \div 8 \\ = {8}^{6} \div {8}^{1} \\ = {8}^{(6 - 1)} \\ = {8}^{5} [/tex]
Answer:
[tex]8^{5}[/tex] or 32768
Step-by-step explanation:
When dividing exponents, you subtract the exponent on the top from the one on the bottom:
[tex]8^{6}[/tex]/[tex]8^{1}[/tex] = [tex]8^5[/tex] because 6-1 = 5
Lee drove 635 miles and used 25 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline?
Answers
What is the area of the triangle shown below?
Answers
Answer:
12
Step-by-step explanation:
Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.
A = bh/2
A = 8 * 3/2
A = 12
Find the rest of the equation.
Answers
Answer:
D = 48 E= 90 F = 42 FE = 15
Step-by-step explanation:
Sorry, i dont know how to get DF and DE yet
Find the simplified quotient
27 +51 +3
12-37-4
.
47 +27 -6
X-8x +16
о
1-4
21-2
O
1
27-2
O
X-4
y-
Answers
Answer:
y24 x66
Step-by-step explanation:
Yeah!! than vsj haha yeamKah
Which of these answer choices can find the width
A. Width = (70 yd + 40 yd) /2
B. Width = (70 yd + 40 yd) /4
C. Width = (70 yd - 40 yd) /2
D.width = (70 yd - 40 yd) /4
Answers
Answer:
C
Step-by-step explanation:
2 (20)=40
70-40=30
30/2 = 15 actual width of both sides
P= 2l + 2w
I need help ASAP plz
Answers
a^2+b^2=c^2
a and b are the legs, c is the hypotenuse.
a^2+7^2=16^2
a^2+49=256
Subtract 49 from both sides:
a^2=207
Square foot:
a=14.38749457 in.
Round to nearest tenth:
14.4 in
Answer:
a = 14.4
Step-by-step explanation:
It's a right angled triangle. so it has to follow Pythagoras Theorem
according to it square of hypotenuse = sum of squares of other two sides
[tex]16 {}^{2} = {x}^{2} + 7 {}^{2} \\ 256 = x {}^{2} + 49 \\ 256 - 49 = x {}^{2} \\ 207 = x {}^{2} \\ x = \sqrt{207 } \\ x = 14.387 \\ x = 14.4[/tex]
after rounding the decimal a= 14.4 in
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct?
Answers
Answer:
Helena is correct.
Step-by-step explanation:
The slope intersept form of the line is
y = m x + c
where, m is the slope and c is the intersept.
The point slope form of the equation is
[tex]y - y'= \frac{y''-y'}{x''-x'}\times (x-x')[/tex]
So, if there are two points are given, the equation of line is found by the point slope form.
So, Helena is correct.
Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree. 4tan^2 θ+tanθ=−4tanθ−1
Answers
Answer:
135 and 315degrees
Step-by-step explanation:
Given the expression
4tan²θ+tanθ=−4tanθ−1
Equate to zero
4tan²θ+tanθ+4tanθ+1 = 0
4tan²θ+5tanθ+1 = 0
Let x = tanθ
4x²+5x+1 = 0
Factorize;
4x²+4x+x+1 = 0
4x(x+1)+1(x+1) = 0
4x+1 = 0 and x+1 = 0
4x = -1 and x = -1
x = -1/4 and -1
Since x = tanθ
-1 =tanθ
θ = arctan(-1)
θ = -45degrees
Since tan is negative in the 2nd and fourth quadrant;
In the second quadrant
θ = 180 - 45 = 135degrees
In the fourth quadrant;
θ = 360 - 45 = 315degrees
Hence the required angles are 135 and 315degrees
Please help me i'm struggling!
Answers
Plot the points P (2, -3) & Q (-5, -3) whose ordinates are same. To which axis the line PQ is parallel.
Answers
Given :
The points P (2, -3) & Q (-5, -3) whose ordinates are same.
To Find :
To which axis the line PQ is parallel.
Solution :
In given points the ordinates are same.
Therefore, the line is parallel to the x- axis.
Hence, this is the required solution.
A 2 kg hammer is used to nail a 0.002 kg nail with a force of 10 N. How much force is applied to the hammer?
Answers
Answer:
19.62N
Step-by-step explanation:
Given data
Mass =2kg
Force =10N
The applied force is
F=mg
F=2*9.81
F=19.62N
Hence the applied force is 19.62N
Please help it's urgent!
Answers
What is the sign of -9. (0/-3)
Answers
Answer:
C Zero
Step-by-step explanation:
[tex] -9 \times (\dfrac{0}{-3}) = [/tex]
[tex] = -9 \times 0 [/tex]
[tex] = 0 [/tex]
Answer: C Zero
Acellus
If P = (3,2), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box
Enter
Answers
Answer:
(-2, 3)
Step-by-step explanation:
Think of this in the future:
Counter-clockwise rotations:
90-degree --> (x,y) = (-y,x) ex. (3,2) --> (-2,3)
180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3, -2)
270 degree --> (x,y) = (y,-x) ex. (3,2) --> (2, -3)
Clockwise rotations:
90-degree --> (x,y) = (y, -x) ex. (3,2) --> (2, -3)
180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3,-2)
270-degree --> (x,y) = (-y, x) ex. (3,2) --> (-2,3)
Pls help me with this
Answers
Answer:
5.85
Step-by-step explanation:
100%-> 6.50
100%-10% = 90 %
90%-> 6.50/100 x 90
=5.85
The ratio of girls and boys in Aamir’s class is 3:2 if the number of girls in his class is 21 , what is that number of boys ? The number of boys in Aamir’s class=
Answers
Answer:
16
Step-by-step explanation:
for every 3 boys there is 4 girls
divide 12 by 3 and the answer is 4
multiply 4 by 4
16 This will be your answer
Jason wants to know the percentage of M & M's that are green. He chooses a sample of 30 M & M's from a bag, and 3 of them are green. What is the margin of error of his experiment (round to 4 decimal places)? .1074 .1074 .9845 .9845 .1235 .1235 .8824
Answers
Answer:
The margin of error of his experiment is of 0.1074.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
30 M & M's from a bag, and 3 of them are green.
This means that [tex]n = 30, \pi = \frac{3}{30} = 0.1[/tex]
Standard 95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Margin of error:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.1*0.9}{30}}[/tex]
[tex]M = 0.1074[/tex]
The margin of error of his experiment is of 0.1074.
Which numbers are written in scientific notation? Check all that apply.
0.87x10^8
15.489 x 10^6
O 10.1x 10^-12
07.08 x 10^6
1.2345 x 10^-1
Answers
Answer:
The last two
Step-by-step explanation:
Scientific notation:
a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8
El angulo de elevacion del sol es de 29°12'35''. Calcular la longitud de la sombra proyectada por un hombre de 1,75m de estatura.
Answers
Respuesta:
3,59 metros
Explicación paso a paso:
Conversión del ángulo de elevación a grados;
29 ° 12 '35 "
= 29 ° + 12 '/ 60 + 35 "/ 3600
= 29,20972 °
Resolviendo el triángulo de solución adjunto:
La longitud de la sombra se puede obtener utilizando la relación trigonométrica;
Sin θ = opuesto / hipoteno
Sin 29.20972 = 1.75 / sombra
Sombra = 1.75 / Sin 29.20972
Longitud de la sombra = 3,59 m
what is the length of side x in the above right triangle
Answers
Answer:
4
Step-by-step explanation:
b² - a² is the formula
5² - 3²
16
√16
= 4
the following table shows the number of fire hydrants in each neighborhood overseen by District 9
Answers
Answer:
where is the table
Step-by-step explanation:
Answer:
whare is the table?
Step-by-step explanation:
we cant answer if theres no table
In a school the ratio of boys to girls is 3:2. What percentage of the students are girls?