Answer:
Step-by-step explanation:
m = 60-y
m+5 = 65-y
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
Create a system of equations or inequalities that models the situation.
Define the variables you use.
Answer:
10/20
Step-by-step explanation:
$15 for 10 hours and $20 for 10 hours
Find the slope of line with the given points (6, - 4)(1, 5)
Answer:
-9/5 is the slope
Step-by-step explanation:
5-(-4)=9
1-6=-5
find the area of the composite shape. quickly please
Answer:
4800 1 x 24 x 25 x 8
Step-by-step explanation: 1 x 24 x 25 x 8
2. Identify the relationship between the angles
given, then write and solve the equation to find
the value for the variable “x”.
Answer:
x is 21. dccxpxpdpdpdpdp
Answer:
Mutual
Step-by-step explanation:
33° +2x-15 =90
2x =90+15-33
2x=72
X=36
The height of a pelican as it swoops down to catch a fish in the lake is modeled by this equation, where x represents the time, In seconds, and y represents the height of the pelican, In feet.
Answer:
Option A : The system has two solutions, and both are viable because they result in positive values of time.
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
The system has two solutions, and both are viable because they result in positive values of time.
1. Which of the following is equivalent?
sin Θ cos Θ sec Θ csc Θ
a. 1
b. csc^2Θ
c. tan^2Θ
d. sec^2Θ
2. Which of the following is equivalent?
1/(cot^2Θ) * sec Θ cos Θ
a. 1
b. sec^2Θ
c. tan^2Θ
d. csc^2Θ
3. Which of the following is equivalent?
tan Θ/ cot Θ
a. cos^3Θ
b. tan^2Θ
c. sec^2Θ
d. sin Θ
9514 1404 393
Answer:
A, C, B
Step-by-step explanation:
It is helpful to remember the trig identities ...
sin = 1/csc
cos = 1/sec
tan = 1/cot
__
1. sin(θ)cos(θ)sec(θ)csc(θ) = (sin(θ)csc(θ))(cos(θ)sec(θ)) = (1)(1) = 1 . . . matches A
2. 1/cot²(θ)·sec(θ)cos(θ) = 1/(1/tan²(θ))·(1) = tan²(θ) . . . matches C
3. tan(θ)/cot(θ) = tan(θ)/(1/tan(θ)) = tan²(θ) . . . matches B
Answer:
1.sin Θ cos Θ sec Θ csc Θ
sinocoso×1/coso ×1/sino=1
1. is the required answer
2.1/(cot^2Θ) * sec Θ cos Θ
=sin²o/cos²o×1/coso×coso
=sin²o/cos²o
tan²o is answer
3.tan Θ/ cot Θ
sino/coso/(coso/sino)
sin²o/cos²o
tan²ois answer here o = theta
Lilya bought 3 donuts for $2.97. At this rate, how much would 10 donuts cost?
Answer:
$9.90
Step-by-step explanation:
$2.97 divided by 3 equal 0.99 cents
0.99 multiplied by 10 equal 9.90
The price at which god is brought is called
The angle measurements in the diagram are represented by the following expressions
Helpp
Answer:
5x-15 = 2x+21
x=12
Step-by-step explanation:
Vertical and Corresponding Angles can be used to prove so.
Help with algebra 2 i dont know how to do this
Answer:
I cannot see the question clearly. But I know how to do .
Can somebody help and show work
Answer:
( x +1 ) ( x + 3 )
Can someone help me ?!
Answer:
95
Step-by-step explanation:
3x + x = 380
4x = 380
x= 95
proof
3*95 = 285
Your share of 285 plus that of your friend shares of 95 will give you the total shares of 380
Which of the following is false?
A triangle can be drawn
with only one obtuse angle
and two acute angles.
A triangle can be drawn
with 3 acute angles.
A triangle can be drawn
with only one right angle
and two acute angles.
A triangle can be drawn
with 2 obtuse and one acute
angles.
The cost of $500,000 worth of 15-year term life insurance for Audrey is
$28.44 per month. If Audrey's employer covers 75% of this cost, how much is
deducted from Audrey's gross income per year for life insurance?
A. $21.33
B. $85.32
C. $341.28
D. $255.96
SUBMIT
Can someone please help I forgot how to do this.
Answer:
5²+1×2 - 4(4) = 11
Step-by-step explanation:
up top when it says a = 4
and b = 5 that's means b and a are those numbers.
then while 4 is touching a that means to multiply. And the 2 up top of b means 5×5, then do order of operations to find the answer. If you dont you'll get it WRONG.
Order of operations is this
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
The is thinking of a number which he calls n. He finds 1/3 of the number and subtracts 5
Answer:
I just did it its 1/3n - 5
Step-by-step explanation:
Some iPhones produced within a time period have faulty battery issues. Thirty percent of such iPhones will need battery service while under warranty. A family owns 5 iPhones produced within the time frame of potential faulty production.
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
(c) What is the expected number of iPhones in the family that require service?
(d) What is the standard deviation of the number of iPhones in the family that requires service?
Answer:
a) 0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
b) 0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty
c) The expected number of iPhones in the family that require service is 1.5.
d) The standard deviation of the number of iPhones in the family that requires service is 1.0247.
Step-by-step explanation:
For each iPhone, there are only two possible outcomes. Either they have battery issues under warranty, or they do not. iPhones are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Thirty percent of such iPhones will need battery service while under warranty.
This means that [tex]p = 0.3[/tex]
A family owns 5 iPhones produced within the time frame of potential faulty production.
This means that [tex]n = 5[/tex]
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
This is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{2} = 0.1323[/tex]
[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{1} = 0.0284[/tex]
[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.0024[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.3087 + 0.1323 + 0.0284 + 0.0024 = 0.4718[/tex]
0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty.
(c) What is the expected number of iPhones in the family that require service?
[tex]E(X) = np = 5*0.3 = 1.5[/tex]
The expected number of iPhones in the family that require service is 1.5.
(d) What is the standard deviation of the number of iPhones in the family that requires service?
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.3*0.7} = 1.0247[/tex]
The standard deviation of the number of iPhones in the family that requires service is 1.0247.
What is the equation of the line in slope intercept form?
Answer:
y=x-4
Step-by-step explanation:
Are these shapes congruent?
71 m
K
M
370
71 m
1430
380
71 m
N
71 m
1370
67 m
1430
370
I
1480
71 m
71 m
P
H
370
71
Answer:
No
Step-by-step explanation:
In order for the shapes to be congruent, corresponding parts must be congruent. The corresponding angles are NOT congruent, so the shapes are not congruent.
A rectangular prism has a length of 11ft, a height of 4ft, and a width of
3ft. What is its volume, in cubic ft?
Answer:
132 feet
Step-by-step explanation:
Volume = 11×3×4 = 132 feet
help guys!!!! pls & tyyyyy
Answer:
I think
A:(2,1)
B:(4,-2)
C:(4,-6)
D:(1,-3)
y-2=-5(x-2) slope intercept form
Answer:
y = -5x + 12
Step-by-step explanation:
slope intercept form is where you simplify it and get the y by itself, so:
[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]
Who can answer this
Can you help me please
Answer:
270
Step-by-step explanation:
bc if he does 9 miles for 3 days every week thats already 27 miles. for 10 weeks that would be 270 bc 10*27 is 270.
Consider the factored form equation of parabola y = 2(x - 3) * (x + 1)
Answer:
a= x= 3, -1
b= x=1
c= (1, -8)
Step-by-by-step explanation:
For the show your work, you have to create the graph of the parabola. (attached image)
92 = 5y - 13 answerrrrrr NOWWWWWWWWWWWWWWWWWWWWWWWWWWWW
Answer:
the answer is y=21
Step-by-step explanation:
hope this helps:)
Answer:
y=21
Step-by-step explanation:
92 = 5y - 13
92 + 13 = 5y - 13 + 13
105 = 5y
105/5 = 5y/5
21 = y
Hope this helps!
Please consider giving me brainliest, I only need 5 more to become an expert rank, so your kindness is appreciated!
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. y2=x,x=2yy 2 =x,x=2y; about the y-axis
Answer:
Step-by-step explanation:
From the first image attached below, we will see the sketch of the curve x = y² & x = 2y
In the picture connected underneath, the concealed locale(shaded region) is bounded by the given curves. Now, we discover the marks of the crossing point of the curves. These curves will cross, when:
[tex]y^2 =2 y \\ \\ or y^2 -2y = 0 \\ \\ y(y-2) = 0 \\ \\ y = 0 \ \ or \ \ y = 2[/tex]
Thus, the shaded region fall within the interval 0 ≤ y ≤ 2
Now, from the subsequent picture appended we sketch the solid acquired by turning the concealed region about the y-axis.
For the cross-sectional area of the washer:
[tex]A (y) = \pi (outer \ radius)^2 - \pi ( inner \ radius )^2 \\ \\ A(y) = \pi (2y^)2- \pi (y^)^2 \\ \\ A(y) = 4 \pi y^2 - \pi y^4 \\ \\ A(y) = \pi( 4 y^2 -y^4)[/tex]
Finally, the volume of (solid) is:
[tex]V = \int^2_0 A(y) \ dy \\ \\ V = \int^2_0 \pi (4y^2 -y^4) \ dy \\ \\ V = \pi \int^2_0 (4y^2 -y^4) \ dy \\ \\ V = \pi \Big[\dfrac{4}{3}y^3 - \dfrac{y^5}{5} \big ] ^2_0 \\ \\ V = \pi \Big [ \dfrac{4}{3}(2)^3-\dfrac{2^3}{5} \Big ] \\ \\ V = \dfrac{64}{15}\pi \\ \\ V = (4.27 ) \pi[/tex]
What is the domain and range of f(x)=2/7x-2
Answer:
the domain and range are all real numbers
Step-by-step explanation:
Answer:
x= 7y+14 /2
y= 2/ 7 x−2
Step-by-step explanation:
plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plzzzz plz pzl pz plz -plz plz HELPP
Answer:
The lines will never intersect.Step-by-step
explanation:
The slope of the cups is the same, 1.5. The y-intercept of the small cups is 6The y-intercept of the big cups is 9. This means that the lines will never intersect because they are parallel lines and have the same slope but different y-intercepts.
I hope this helps :) Please give brainliest! :)
Will give you points and BRAINLY
Step-by-step explanation:
[tex]f(\pi) = - 3 \\ f( \frac{\pi}{2} ) = 0 \\ f( - \frac{3\pi}{2} ) = 0 \\ \: \: = 3 \cos(theta) [/tex]