Answer: [tex]P(t)=450+50t[/tex]
Step-by-step explanation:
Given
Studio charge $50 per hour and fixed charge for initial use
For 5 hours, it charges $700
Suppose x is the fixed charge
[tex]\therefore 700=x+50\times 5\\\Rightarrow x=700-250\\\Rightarrow x=\$450[/tex]
For t hours, studio charges
[tex]\Rightarrow P(t)=450+50t[/tex]
A combined total of $53,000 is invested in two bonds that pay 2% and 8.5% simple interest. The annual interest is $3,335.00. How much is invested in each bond? The amount invested at 2% is $ The amount invested at 8.5% is $
Answer:
8.5 = $35,000
2% = $18,000
Step-by-step explanation:
two equations can be derived from the question
x + y = $53,000 equation 1
0.02x + 0.085y = $3,335.00. equation 2
x = amount invested in 2% bond
y = amount invested in 8.5% bond
multiply equation 1 by 0.02
0.02x + 0.02y = 1060 equation 3
subtract equation 2 from 3
0.065y = 2275
y = 35,000
substitute for y in equation 1
53,000 - 35,000 = 18,000
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for more than 1 year and less than 6 years? (5 points)
a
4 schools
b
8 schools
c
10 schools
d
20 schools

Answer:
the answer is 20
Step-by-step explanation:i
hope it helps
How do you do these?
Answer:
a. 10^- 3
b. 10^- 7
c. 10^- 8
d. 10^- 9
e. 1 / 10^6
a.
1 / 10. 1 / 10. 1 / 10
= 1 / ( 10 x 10 x 10 )
= 1 / 1000
= 1 / 10^3
= 10^- 3
b.
1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10
= 1 / ( 10 x 10 x 10 x 10 x 10 x 10 x 10 )
= 1 / 10000000
= 1 / 10^7
= 10^- 7
c.
( 1 / 10. 1 / 10. 1 / 10. 1 / 10. )^2
= ( 1 / 1000 )^2
= ( 1 / 10^3 )^2
= ( 10^- 3 )^2
= 10^( - 3 x 2 )
= 10^- 6
d.
( 1 / 10. 1 / 10. 1 / 10 )^3
= ( 1 / 1000 )^3
= ( 1 / 10^3 )^3
= ( 10^- 3 )^3
= 10^( - 3 x 3 )
= 10^- 9
e.
( 10. 10. 10. )^- 2
= ( 10^3 )^- 2
= ( 1 / 10^3 )^2
= 1 / 10^( 3 x 2 )
= 1 / 10^6
ASAP
how did you get the answer
(Will mark brianist)
The point (-3, 1) is onlthe terminal side of angle O, in standard position. What are
the values of sine, cosine, and tangent of O? Make sure to show all work.
Answer:
cos(θ) = -3/√10
sin(θ) = 1/√10
tan(θ) = -1/3
Step-by-step explanation:
When we have a point (x, y), the angle generated between the positive x-axis and a ray that connects the origin and the point, is defined by:
cos(θ) = x/(√(x^2 + y^2))
sin(θ) = y/(√(x^2 + y^2))
tan(θ) = y/x
Now we have the point (-3, 1), then we have:
x = -3
y = 1
√(x^2 + y^2) = √((-3)^2 + 1^2) = √10
Then we just need to replace these values in the given formulas:
cos(θ) = x/(√(x^2 + y^2)) = -3/√10
sin(θ) = y/(√(x^2 + y^2)) = 1/√10
tan(θ) = y/x = 1/-3 = -1/3
Which set of coordinates follows these two rules x coordinate start with 4 and add 4 to each term y coordinate start with 4 and multiply each term by 2
A (4, 4), (8, 8), (12, 16)
B (4, 4), (8, 8), (16, 16)
C (4, 4), (6, 16),(8, 64)
D (4, 4), (16,2), (64,0)
Answer:
A; (4,4), (8,8) and (12,16)
Step-by-step explanation:
The value x starts with 4 and add 4 to each term
The value y start with 4 and each term next is multiplied by 2
So for x, we have;
4 , (4 + 4) and (4 + 4 + 4)
= 4,8 and 12
For y;
we have ;
4, (4 * 2) , (4 * 2 * 2)
= 4, 8, 16
so pairing up, we have;
(4,4), (8,8) and (12,16)
Find the length of line segment x.
A) 16
B) 17
C) 18
D) 19
Answer:
x=17
Step-by-step explanation:
you have to use the 2 secants rule
8(8+13) = 7(7+x) distribute in parenthesis
64+ 104 = 49 +7x isolate variable
64+104-49 = 7x combine like terms
119 =7x divide both sides by 7
17 =x
which representation does not show y as a function of x?.
Answer:tbh i think the answer H
Step-by-step explanation:
Find the value of x and each arc measure.
12 and 13 please
Answer:
See answers below;
Step-by-step explanation:
Find the diagram attached
12) Given the following
m<EF = 3x - 6
m<GF = 15x - 30
From the diagram, arcEf and arcGF are supplementary. Hence;
arcEF + arcGF = 180
3x - 6 + 15x - 30 = 180
18x - 36 = 180
18x = 180 + 36
18x = 216
x = 216/18
x = 12degrees
arcEF = 3x-6
arcEF = 3(12) - 6
arcEF = 36 - 6
arcEF = 30degrees
arcGF = 180 - aecEF
arcGF = 180 - 30
arcGF = 150degrees
Since arcDE = arcGF (vertical angles), hence arcDE = 150degrees
arcDFG = arcDG+arcGF
arcDFG = 30 + 150
arcDFG = 180degrees
13) arcMN = arcQP (vertical angles)
12x-5 = 6x+3
Collect like terms
12x - 6x = 3 + 5
6x = 8
x = 8/6
x = 1.3
arcMN =12x - 5
arcMN = 12(8/6) - 5
arcMN = 16 - 5
arcMN = 11degres
arcNP = 180 - arcMN
arcNP = 180 - 11
arcNP = 169degrees
Since arcNQP lies on straight line, hence arcNQP is 180degrees
question below , vvvvv
Answer:
5 + 2x = 5x + 4
-2x -2x
5 = 3x + 4
-4 -4
1 = 3x
Divide by 3 on both sides.
1/3 = x
what is the domain of the graph ?
Here are two rectangular prisms: K, L. K= 6, 4, 5. L=5,5,5 1. Which figure do you think has the longer diagonal. 2. Calculate the lengths of both diagonals. Which one is actually longer?
Answer:
sorry. I need points.
Step-by-step explanation:
.......................
Help me!!!!!!!!!!!!!!
Answer:
use brainly points
Step-by-step explanation:
Answer:
so besacily find wich way it goes opposite
Step-by-step explanation:
Estimate the measure of the angle shown below.
85°
110°
95°
150°
Answer:
85 angle degree is the answer
Answer:
85 degrees
Step-by-step explanation:
The angle Looked like a acute angle and 85 degrees is the only choice there is of an acute angle
37 1/2 of 56 in percent?
Answer:
hi. im looking for fr33 p01nts. hope u understand. it could also help if u would give brain1est.
Step-by-step explanation:
HELP ITS URGENT
a. b. c. or d.???
Answer:
It's the last option, (a-c)√x + b√y
Step-by-step explanation:
Helppp plz. 13+5 times a number X is under 30
Answer: 1?
Step-by-step explanation: 13+5= 18
18x 1= 18
(a) Write 7.2 x 10-3 as an ordinary number.
(b) Write 71500000 as a number in standard form.
Answer:
(a) 0.0072
(b) 7.15 x 10^7
Step-by-step explanation:
Numbers less than 1 have a negative exponent
- those greater than 1 have a positive exponent.
The first part of standard form has values between 0 and 10.
help please!! i don’t rlly understand this!
Answer:
Step-by-step explanation:
The first thing they did was factor the denominators
so
x²-3x+2= (x-1)(x-2)
and
x²-1= (x-1)(x+1)
To add two fractions their denominators need to be the same
to accomplish this they mulitpied both sides of the fraction
after that they mulitplied what was in the numerator and combined like terms
Because the denominator cannot equal 0 x≠ -1, 1, 2
Given that sinФ = 8/17 and cos Ф < 0:
In which quadrant does the terminal side lie when it is placed in standard position?
What is the value of CosФ? CosФ =
What is the value of tanФ? TanФ =
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
HEEEEELLLPPPPPPP!!!!!!!!!!!!!
Answer:
E. b + u = 21
Step-by-step explanation:
b = (bicycles)
u = (unicycles)
The Question gives you the answer.
" the number of bicycles plus the number of unicycles is 21"
*put as an equation*
b + u = 21
<3 Enjoy,
Dea
Find the scale factor of the similar shapes below.
Answer:
Its 3 cube INT and 14 cube INT
Your welcome
Step-by-step explanation:
HELLO GUYS AND GIRLS CAN YOU PLEASE HELP?
(Find the value of x in degrees)
Answer:
x = 25 and x = 47
Step-by-step explanation:
(9)
The given angles are vertical and congruent , then
2x + 10 = 60 ( subtract 10 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25
(10)
The given angles are vertical and congruent , then
2x + 6 = 100 ( subtract 6 from both sides )
2x = 94 ( divide both sides by 2 )
x = 47
Piper is planning for a birthday party. She gets to pick a meal activity and cake. For dinner the choices are spaghetti or pizza. For activity the choices are a movie, arcade, or skating. For cake the choices are white or chocolate
Answer:
arcade, pizza, chocalte cake
Step-by-step explanation:
The correct tree diagram is shown in option B.
What is a tree diagram?A tree diagram can be defined as a tool to determine the total number of possible outcomes. It is very useful in the fields of probability and statistics.
The choices for meal are spaghetti or pizza.
The choices for activity is movie, arcade, or skating.
And, the choices for cake are Chocolate and white.
Then, the different choices can be such that it includes all the possible combinations for given choices.
By examining the different options, it can be concluded that the option (B) displays all the possible choices.
Hence, the correct tree diagram for the given case is shown is option B.
To know more about tree diagram click on,
https://brainly.com/question/13311154
#SPJ5
A 5 cm×11 cm\greenD{5\,\text{cm} \times 11\,\text{cm}}5cm×11cmstart color #1fab54, 5, start text, c, m, end text, times, 11, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of 12 cm\blueD{12\,\text{cm}}12cmstart color #11accd, 12, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?
Answer:
42.5 square.cm
Step-by-step explanation:
Find the diagram attached
Area of the shaded portion = area of square - area of circle
Area of square = L²
Area of square = 11 × 11
Area of square = 121 square centimetres
Area of circle = pir²
r is the radius of the circle = 5cm
Area of the circle = 3.14×5²
Area of the circle = 3.14×25
Area of the circle = 78.5 square. cm
Area of the shaded region = 121 - 78.5
Area of the shaded region = 42.5 square.cm
Answer:
397.39cm
Step-by-step explanation:
did it on khan ur welcome <3
What is the approximate area of the circle shown below? A. 2460 cm2 B. 44 cm2 C. 88 cm2 D. 616 cm2
Answer:
3.14(14)^2 = 615.44
colesest answer D
PLS HELP, look at the image
X is 6,y is 4
Step-by-step explanation:
Use the eliminations method,please look at the picture, Thanks
The net of a three-dimensional figure is made of 6 rectangles that may or may not be squares. Depending on the
number of rectangles that are squares, which could be the figure? Select three options.
O a cube
a square prism
a square pyramid
O a rectangular prism
a rectangular pyramid
Answer:
A. a cube
B. a square prism
C. a rectangular prism
Step-by-step explanation:
The net of a given shape is the description of its three dimensional surfaces in two dimensional plane. From the given question, the 6 rectangular net of the shape has a condition that: the 6 rectangles may or may not be squares. Thus, the figure could be;
i. a cube
ii. a square
iii. a rectangular prism
The three options above have surfaces that could either be squares or rectangles.
What is 9 - 10 as a decimal number
Tell me the answer and help me explain please
Answer:
The answer is 9/10
Step-by-step explanation:
8/10 is the same thing as ⅘, ⅘ is just simplified
⅖ is less than ⅘ so it would come before c
6/5 is more than 1 so it wouldn’t be on that number line.
Answer:
OK.
My answer is based on 2 things.
1. That the furthest point on the left is 0( That other little distance is ignored)
2. That the point C is equidistant from 4/5 and 1.
If so..
Then
4/5 + x + x =1
4/5 +2x = 1
2x= 1-4/5
x=1/10
Now
From 4/5 to C is x...
Then Position C would be
4/5 + 1/10
c= 9/10
Or by simply making guesses...
All Other options are greater than 1... So It can't be those cos C is less than 1