Step-by-step explanation:
x = 7 cos 210 = 7×(-½√3) = -3.5√3
y = 7 sin 210 = 7×(-½) = -3.5
point C (-3.5√3 , -3.5)
Mr. Carr is hiring a plumber to repair his sink. The cost of Plumber T is shown in the table.
A table titled Plumber T Costs is shown. It has three columns and two rows. Row one is labeled Hours, h. Row two is labeled Cost, c. One hour, one hundred twenty-eight dollars. Two hours, two hundred fifteen dollars. Three hours, three hundred two dollars.
Part A. What is the initial cost and hourly rate of Plumber T?
Part B. Write an equation to represent the function shown in the table.
Part C. Plumber W charges $95 per hour and an additional $32 for the parts needed. What is the difference in cost between Plumber W and Plumber T if the repair Mr. Carr needs takes 5 hours?
Enter the correct answers in the boxes.
A. Initial cost: $
Rate per hour: $
B. Equation:
C. Difference in cost: $
The hourly rate of plumber T is $87 per hour and have an initial cost of $41.
Linear equationLinear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial amount.
From the table, using points (1, 128) and (2, 215):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-128=\frac{215-128}{2-1}(x-1)\\ \\y= 87x+41[/tex]
The hourly rate of plumber T is $87 per hour and have an initial cost of $41.
Find out more on Linear equation at: https://brainly.com/question/14323743
Answer:
Initial cost: $ 41
Rate per hour: $87
Equation: y=87x+41
Step-by-step explanation:
Sorry I do not know the difference in cost.
What is the y-intercept of the line shown below? Enter your answer as a
coordinate pair. Help!!!!!
Answer:
(0, 3)
Step-by-step explanation:
y= 3 when x=0
Resh's gross pay is $1300 per fortnight. Fortnightly deductions from her gross pay are: PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay??
Answer:
$1182.65
Step-by-step explanation:
Given :
Fortnight gross pay = $1300
Given :
PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay
FNPF = 5% = 0.05 * $1300 = $65
PAYE = $31.85 ; HEALTH INSURANCE = $20.50
Total deduction = $(65 + 31.85 + 20.50) = $117.35
Net pay :
Gross pay - deduction
$1300 - $117.35 = $1182.65
During 1 month ,the mass of a person decreased from 50 kg to 40 kg . calculate the percentage decreased in the mass.
Answer:
Step-by-step explanation:
mass of person decreased=50kg-40kg
=10kg
decrease percentage=10/50*100
=10*2
=20%
William is planning a party. He spent $110.74 to buy 9.8 pounds of candy for favors. What was the cost per pound of the candy? (Do not include the $ sign in your answer.)
Answer: $11.30 per pound
Step-by-step explanation:
William spent $110.74 to buy 9.8 pounds of candy.
To find the cost per candy, divide the amount spent by the quantity of candy:
=Amount spent on candy / Quantity of candy
= 110.74 / 9.8
= $11.30 per pound
Explain two different ways that you can solve the exponential equation 3^x+2=8 .
Answer:
solving a quadratic equation by factoring
using the quadratic formula
Step-by-step explanation:
Find the value of x.
Answer:
d. 16 feet
Step-by-step explanation:
x² + 12² = 20²
x² + 144 = 400
x² + 144 - 144 = 400 - 144
x² = 256
√x² = √256
x = 16
Which of the graphs correctly shows the set {-7, -2, 7}?
A) A
B) B
C) C
D) D
Is the point (1,3) inside, outside the circle
Step-by-step explanation:
what is the center of the circle !
I WILL GIVE BRAINLIEST!!!!!!
Starting at (0,0) if you were to go 5 units left and 6 units up what coordinates would you end up at? What quadrant would you be in?
Answer:
I think Quadrant 1. I;m not trying to just answer for the points
Step-by-step explanation:
If CD represents 100%, what is the length of a line segment that is 25%? Explain.
Answer:
(1/4)CD
Step-by-step explanation:
The length of a segment that represents 25% will be 1/4 as long as the segment representing 100%.
25% is 1/4 of 100%
25% = 1/4 = 0.25
Somebody help me ASAP! I WILL GIVE BRAINLIEST IF YOU SOLVE THIS BY 12:40 PM PST
Answer:
B. {2/3, 1}Step-by-step explanation:
x²/5 - x/3 = -2/153x² - 5x = -23x² - 5x + 2 = 0x = (5 ± [tex]\sqrt{5^2 - 4*3*2}[/tex])/6x = (5 ± 1)/6x = 6/6 = 1 , x = 4/6 = 2/3Correct choice is B
Can someone help me p
Answer:
(3.5, -2)
Step-by-step explanation:
that point is where the edge if the rectangle is
need a answer for this please
En una compañía se realiza una encuesta a 200 personas, se encontró la siguiente distribución, en el uso de máquinas eléctricas, mecánicas y computadoras: Eléctricas 110, mecánicas 50, computadoras 60. Mecánicas y computadoras 25, eléctricas y computadoras 35, eléctricas y mecánicas 40. Las tres 20 y 60 nada. A) Encuentre el número de personas que o usan computadora. B) Que usen una maquina eléctrica pero no computadora. C) Que usen solo un equipo. D) Que usen mecánica y eléctrica pero no computadora. E) Cuantos no tienen ni maquina eléctrica ni mecánica.
Answer:
A) 140
B) 75
C) 80
D) 20
E) 80
Step-by-step explanation:
Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.
Comenzamos nombrando cada círculo:
E= personas que usan máquinas eléctricas
M= personas que usan máquinas mecánicas
C = personas que usan computadoras.
- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.
- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.
- En la intersección entre M y C restamos:
25-20=5
Entonces colocamos este 5 en esa región.
- En la intersección entre E y C restamos:
35-20=15
Entonces colocamos este 15 en esa región.
- En la intersección entre E y M restamos:
40-20=20
Entonces colocamos este 20 en esa región.
- En la región de E restamos:
110-20-20-15=55
Entonces colocamos este 55 en esa región.
- En la región de M restamos:
50-20-20-5=5
Entonces colocamos este 5 en esa región.
- En la región de C restamos:
60-15-20-5=20
Entonces colocamos este 20 en esa región.
Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)
Y ahora ya lo podemos usar para responder a las preguntas:
A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:
55+20+5+60=140
B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:
55+20=75
C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C
55+20+5=80
D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C
20
E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:
20´60=80
William only had 1 3/4 cups of flour so he can only make 2/3 of a batch of biscuits how much flour is needed for a full batch of biscuits
Answer: 2 5/8 Cups
Step-by-step explanation:
Cups of flour he have = 1 3/4
= 7/4
Batch of biscuits made = 2/3
Flour to make a full batch
7/4 / 2/3 = 2 1/8
= 2 5/8 Cups
Hope it helps
Please help this is for a project: The stimulus check is a one time $1,200 pay out and the unemployment check is $600 per week
for a maximum of 16 weeks. Make an equation that can be used to find y, the amount of money in your
account after x number of weeks of getting unemployment checks.
Can b an x be greater than 16? What is a mathematical way to show that?
Help me plzz i beg u
Answer:
Step-by-step explanation:
Find the area of each regular polygon
What is the mean for 46 47 52 55 64 69 70 78
answer: 60.125
step-by-step explanation:
46 + 47 + 52 + 55 + 64 + 69 + 70 + 78 is 481, then you divide it by the amount of numbers you have which is 8 and you get 60.125
The diameter of a cylindrical construction pipe is 4ft . If the pipe is 24ft long, what is its volume
I need help solving this problem. 15-1(12÷4+1)
Answer:
11
Step-by-step explanation:
1. First do the brackets because BEDMAS
So, (12÷4+1) = 4
2. 15 - 1 x 4
3. 15 - 4
4. 11
Hope this helps! :)
Use the symbolab website/app it's really helpful
SOMEONE PLEASE HELP ME
A pyramid has a base that is a right triangle with legs measuring 10 cm and 14 cm. The height of the pyramid is 9 cm.
The volume of the pyramid is ___ cubic cm.
Answer:
420 cm cubed
Step-by-step explanation:
not entirely sure how to do this, but saw a similar post. hope this helps:
https://brainly.com/question/22267794
(or u can copy + paste ur question it'll show up either way)
i have 1 hour to do this. please help me :). 20pts!!!
Find area of the composite figure..
Answer:
627square inches
Step-by-step explanation:
Area of the composite figure.. = area of triangle + area of parallelogram
Since the triangle is an equilateral triangle;
Area of the triangle = r²sintheta
Area of the triangle = 18²sin60
Area of the triangle = 324sin60
Area of the triangle = 324(0.8860)
Area of the triangle = 280.584 square in
Area of the triangle = 281 square inches
Area of parallelogram = absintheta
Area of parallelogram = 20(20)sin60
Area of parallelogram = 400(0.8660)
Area of parallelogram = 346.4square inches
Area of parallelogram = 346 square inches
Area of the figure = 346 + 281
Area of the figure = 627square inches
please help me with these two problems I need help
Answer:
24 area
18.80983669 perimeter
Step-by-step explanation:
1 (6*3/2)*2(1*3/2)+(4*3)
2 trust me
The Box-and-Whisker Plot represents the ages of 40 people who responded to a telephone survey.
Which statement is true about this data set?
A. About 50% of the respondents were at or between 40 and 67.5 years old.
B. The range of the data is 84 years.
C. The outlier is 28 years.
D. The mean is 51 years.
Answer:
'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)
Step-by-step explanation:
Range is 84-28 which is 56
Median is 51
1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25
Q1 is 40
Q1 - IQR = -1.25
Low outliers are below -1.25 - 41.25; there are not data items below -42
Answer:
'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)
Step-by-step explanation:
Range is 84-28 which is 56
Median is 51
1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25
Q1 is 40
Q1 - IQR = -1.25
Low outliers are below -1.25 - 41.25; there are not data items below -42
Unit 9 test: Trigonometry
What’s the correct answer to this problem
Answer:
See below.
Step-by-step explanation:
Remember SOHCAHTOA.
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
sin(64) = x / 94
Multiply both sides by 94.
94sin(64) = 94x / 94
Simplify
x = 94sin(64)
x = 84.487 = 84.5
Find c. Determine it from the choices below.
Answer:
12 centimetres
Step-by-step explanation:
I looked it up
Help me plzzzzzzzzzzzz
Answer:
The circumference of a circle
Step-by-step explanation:
Hope this helped you out :)
Answer:
2π r is how you find the circumference of a circle so the answer is the second option .