Answer:
The discount is $18.
A ski resort is building two parallel straight ski slopes for children. One of them has a gradient of 1/3. The other ski slope will pass through points (2,-3) and (s,-5). Find the value of s
Answer: s= -8
Step-by-step explanation:
The gradient of the ski slope can ge used as the slope (literally) of a line equation:
y = mx + b,
where m is the slope and b the y-intercept (the value of y when x = 0).
The first slope would be y = -(1/3)x + b.
The slope is (-1/3) since the ski run is headed downhill. The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").
y' = -(1/3)x' + b
We may assume that b is the same for both slopes - they start and end at the same point.
We can find b by using the given point (2,-3):
y' = -(1/3)x' + b
-3 = -(1/3)(2) + b
-3 = -(2/3) + b [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]
-7/3 = b
b = -(7/3)
The second ski slope, y', thus has the equation
y' = (1/3)x' -(7/3)
We want the value of s in (s, -5).
y' = (1/3)x' -(7/3)
-5 = (1/3)s -(7/3)
(1/3)s = -5 +(7/3) [-15/3 + 7/3 = -8/3]
(1/3)s = -(8/3) [Multiply both dies by 3]
s = -(24/3)
s = -8
Which number has a 5 in it that’s 10 times the 5 in 13.725
Answer:
0.05
Step-by-step explanation:
10*.005
Find the value of a.
х
409
0.
a
y
O A. 60
OB. 80
OC. 40
Answer:
50°
Hope you could understand.
If you have any query, feel free to ask.
nico wanted to determine the number of students in his school who buy school lunch. he walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own. which method did he use to collect his data? survey simulation experiment observational study
Answer:
Observation
Step-by-step explanation:
He walked around seeing if every fifth person bought lunch
Survey - Requires asking questions
Simulation - Needs prior data to make an estimation
Experiment - Testing something
Observation - Just observing and watching
Study - Looking up data
The method he used to collect his data is observational method.
When do we perform observational study, sample survey, controlled experiment, or random experiment?Observational study is usually chosen when the researches the system is likely to produce different result if interfered.
Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.
Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.
Random experiment is done specifically to deduce conclusions, but it is done in a random manner.
We are given that;
He saw every fifth person in cafeteria
Now,
An observational study is a method of collecting data by observing and recording the behavior or characteristics of individuals or groups without interfering or manipulating any variables. Nico did not ask any questions or change any conditions, he just observed whether every fifth person in the cafeteria bought lunch or brought their own.
Therefore, by sampling the answer will be observational method.
Learn more about sampling here:
https://brainly.com/question/9724150
#SPJ7
Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 6
Answer:
c.
took the test
Step-by-step explanation:
You make a scale drawing of a garden plot using the scale 2 in. 517 ft. If the length of a row of vegetables on the drawing is 3 in., how long is the actual row?
a. 17 ft b. 25.5 ft c. 34 ft d. 42.5 ft
how to find the vertex of a parabola in standard form
Step-by-step explanation:
TO find the vertex, you need to find the x− and y− coordinates.
The formula for the axis of symmetry and the x-coordinate of the vertex is:
x = -b over 2a
To find the y-coordinate the vertex, substitute the value for x into the equation and solve for y
y=a(-b over 2a) squared + b(-b over 2a) + c
For f(x) = -5x+10, what us the value of x for which f(x) = 35
Answer:
x= -5
Step-by-step explanation:
f(x)= -5x +10
35= -5x +10
35-10 =-5x
25/-5 =x
x= -5
Tell 3 numbers that are less than 2 and greater than −1.
Answer:
0 and 1 and -2 and -3
Step-by-step explanation:
Please help i attached a link below to the graph
Write the linear inequality shown in the graph. The gray area represents the shaded region.
y ≥ –x – 4
y ≥ –x + 4
y ≤ –x – 4
y ≤ –x + 4
Answer: y ≤ -y+4
Step-by-step explanation:
The line in the graph:
Taking two points, we can calculate the slope of the line. I'll pick (0,4) and (4,0)
Rise/Run (slope): Rise (0-4) = -4, Run = (4-0) = 4. Slope is -4/4 or -1.
The y-intercept is 4 (the value of y when x is zero).
The equation for the line is y = -x + 4. The shades area includes all points on and under this line, so y ≤ -y+4.
The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how
many boys are there?
Answer: 52 boys
==================================================
Explanation:
g = number of girls
g+26 = number of boys because there are 26 more compared to girls
The ratio of boys to girls is 2:1, meaning g+26 is twice as large compared to g
number of boys = 2*(number of girls)
g+26 = 2g
26 = 2g-g
26 = g
g = 26
There are 26 girls and g+26 = 26+26 = 52 boys. Note how 52 is double that of 26.
4.875 = d - 2.125
what do I do here?
Answer:
d=7
Step-by-step explanation:
7-2.125= 4.875
7 is your answer as it balances both sides of the equation.
i got seven by adding 2.125. to 4.875
Answer:
Step-by-step explanation:
1. add 2.125 to both sides of your equation
4.875 = d - 2.125
+2.125 +2.125
7 = d
The d is now isolated which allows us to see the answer is 7 for d
If f(1)=3f(1)=3 and f(n)=f(n-1)^2-3f(n)=f(n−1) 2 −3 whatsthe value of f(4)f(4)
Answer:
Step-by-step explanation:
So you can do that for me and you have a lot to say I don’t want you have a lot
The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?
I need help so I can turn in my Packet?!?!?
Determine the value of x.
Answer:
x = 16
Step-by-step explanation:
46° and (3x - 2)° are alternate angles and are congruent , so
3x - 2 = 46 ( add 2 to both sides )
3x = 48 ( divide both sides by 3 )
x = 16
if sinA=1/2 then find sinA +cos A
Step-by-step explanation:
Given sinA – cosA = 1/2 squaring on both the sides, we get (sinA – cosA)2 = (1/2)2 ⇒ sin2A + cos2A – 2sinA cosA = 1/4 ⇒ 1 – 2sinA cosA = 1/4 ⇒ 1 – (1/4) = 2sinA cosA ⇒ 2sinA cosA = 3/4 ∴ sinA cosA = 3/8 → (1) (sinA + cosA)2 = (sinA – cosA)2 + 4sinA cosA = (1/2)2 + 4(3/8) = (1/4) + (3/2) = 7/4 (sinA + cosA) = √(7/4) = (√7)/2 .
Given that,
[tex]\sin A = \dfrac 12\\\\ \implies \sin^2 A = \dfrac 14\\\\\ \implies 1-\cos^2 A = \dfrac 14\\\\\ \implies \cos^2 A = 1 - \dfrac 14 = \dfrac 34\\\\\ \implies \cos A = \pm \dfrac{\sqrt 3}2\\\\\text{Case 1:}\\\\\sin A + \cos A = \dfrac 12 + \dfrac{\sqrt 3}2 = \dfrac{1 + \sqrt 3}2\\\\\text{Case 2:}\\\\\sin A + \cos A = \dfrac 12 +\left(- \dfrac{\sqrt 3}2\right) = \dfrac 12 - \dfrac{\sqrt 3}2=\dfrac{1 - \sqrt 3}2[/tex]
I just want to double check if I did this right
Given: Two distinct circles that are tangent to each other at a common point. How many tangent lines can be drawn that touch both circles?
3
1
2
there are only 3 tangent lines can be drawn that touch both circles
ok done. Thank to me :>
Please help me this is due tomorrow.
Answer:
C
Step-by-step explanation:
The domain of a function is a set of values that make the function real and defined. No matter what number you substitute as x, the result is always real. Hence, the domain would be from negative infinity to positive infinity.
Answer: I think it’s D
Step-by-step explanation:
Is the following expression greater than, less than, or equal to zero? (a^2+b^2)/(a^2+b^2+1)
Answer:
the answer is Equal to zero
Step-by-step explanation:
hope it's help correct me if I'm wrong <3
Answer:
≥0
Step-by-step explanation:
This one may seem tricky. The denominator is ALWAYS one more than the numerator. So, let's take a look at some examples.
-2/-1
This is >0. And even if you keep going to a number as high as -10000/-9999, it will ALWAYS be >0.
0/1
Hmm...this one is equal to 0. Seems like we have ≥0 right now.
2/3
>0, right? Well, since we have expression ≥0, that's your answer!
Hope it helps!
4) The original value of a painting is $9,000 and the value increases by 7% each year. In what year,
will the painting be worth $50,000? Show all work.
Answer:
The year will be 5 years from the starting year
Step-by-step explanation:
because if you add 7% by 9,000 until you get 50,000 just count how many times you added
solve pls brainliest
Answer:
1) YES
2)NO
3)YES
4)YES
5)YES
Step-by-step explanation:
HOPE IT CAN HELP YOU LOVELOTS
Find the area! Explain all thinking!! Thank you! <3
Answer:
80
Step-by-step explanation:
you can divide the shape into a square and a rectangle, the square being the 7 by 10 area. by that logic, you can find the area of that portion to be 70. now you have the cut off rectangle to find, and you know one side is 2. to find the other side, you have to subtract 7 from 12 because by doing that you get the value of just that portion of the side. by doing that you get 5. going from there, you can multiply 2 by 5 to get 10 for the area of the rectangle. now you have to add 70 and 10, and you get 80!
hope this helped :D
∠A and ∠B are complementary. m∠A=29°. find m∠B.
Answer:
55 degrees
Step-by-step explanation:
Add the expressions up and set up an equation.
( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.
3 x − 6 = 90 3 x = 96 x = 32 Find angle B.
x + 23 = 32 + 23 = 55
Hope this helps, have a nice day/night! :D
Answer:
m∠B = 61°
Step-by-step explanation:
Complementary means two angles that add up to the sum of 90°.
Since we are given m∠A = 29°, subtract 29° from 90°.
90 - 29 = 61
m∠B = 61°
When 8 goes in,5 comes out
When 24 goes in.13comes out
when 70 goes in,__ comes out
What is the missing answer?
When 70 goes in, 36 comes out.
The pattern for this is x/2 + 1.
8/2 = 4, 4+1 = 5
24/2 = 12, 12+1 = 13
70/2 = 35, 35+1 = 36
answer it its a easy pionts no links or ill report u and u will not get brianly anymore pease answer it plsssss
Answer:
8:112 third blank put 14
Find the perimeter. Simplify your answer.
Answer:
26s +24
Step-by-step explanation:
The perimeter is the total length of all its sides.
Perimeter
= 10s +3 +3s +9 +10s +3 +3s +9
= 10s +3s +10s +3s +3 +9 +3 +9
= 26s + 24
For f(x) = -5x-2, evaluate f(5)
Answer:
x=5
f(x)= -5x-2
f(5)= -5(5)-2
f(5)= -25-2
f(5) = -27
Answer:
See below:
Step-by-step explanation:
So we know that [tex]f(x)=-5x-2[/tex] therefore to find out what [tex]f(5)[/tex] is we can insert/replace [tex]x[/tex] with 5 due to it being a function, after we do that, we get this:
[tex]f(5)=-5(5)-2[/tex]
Using algebra, we an find out that [tex]f(5)=-27[/tex]
Cheers!
Define the sample space, S, of a fair coin being tossed once.
S=
A. {H, T}
B. {H, H}
C. {T, T}
Answer:
S = { H,T }
Step-by-step explanation:
Sample space is these two outcomes
Can someone help me with this please?
Answer:
Step-by-step explanation: