What is an
equation of the line that passes through the points (3, 4) and (-4, -3)?
Answer:
y=x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-4)/(-4-3)
m=-7/-7
m=1
y-y1=m(x-x1)
y-4=1(x-3)
y=x-3+4
y=x+1
Laura is bowling 5 games. Her first 4 scores were 103, 143, 101, and 110.
To end up with an average score of at least 126.8, what is the lowest score Laura will need in the fifth
game?
Answer:
The least 5th score is 177
Step-by-step explanation:
Given
[tex]First\ 4: 103, 143, 101, 110.[/tex]
[tex]Average = 126.8[/tex]
Required
The least 5th score
Represent the 5th score with x.
The average is calculated as:
[tex]Average = \frac{\sum x}{n}[/tex]
So, we have:
[tex]126.8 = \frac{103 + 143 + 101 + 110 + x}{5}[/tex]
[tex]126.8 = \frac{457 + x}{5}[/tex]
Multiply both sides by 5
[tex]634= 457 + x[/tex]
Solve for x
[tex]x = 634- 457[/tex]
[tex]x = 177[/tex]
x+y=11
x-y=-5
Please anyone help?
Answer:
3,8
Step-by-step explanation:
you can use the app photo math. just take a picture and you will get your answer
Answer:
[tex]x=3[/tex]
[tex]y=8[/tex]
Step-by-step explanation:
The process of elimination is a method of solving a system of equations. This process includes manipulating a system of equations such that one variable present in both equations has its coefficients as additive inverses. When one adds the equation, this variable will cancel, one can solve for the other variable using inverse operations, and then back solve for the eliminated variable.
[tex]\left \{ {{x+y=11} \atop {x-y=-5}} \right.[/tex]
As one can see, the coefficients of variable (y) are already additive inverses of each other (1), (-1), therefore, one can add the systems right away.
[tex]\left \{ {{x+y=11} \atop {x-y=-5}} \right.[/tex]
[tex](x)+(y)+(x)+(-y)=(11)+(-5)[/tex]
Simplify,
[tex]2x=6[/tex]
Inverse operations,
[tex]x=3[/tex]
Backsolve for (y), substitute the value of (x) into one of the original equations to find the value of (y),
[tex]x+y=11\\[/tex]
Substitute,
[tex](3)+y=11[/tex]
Inverse operations,
[tex]y=8[/tex]
What do patterns do you notice about finding the area of a triangle?
Step-by-step explanation:
heres the formula A=12b(base)h(hight)
Answer:
Step-by-step explanation:
It has (1/2) included in the formula to find area
Hannah drove at a rate of 750 km in 9 hours. If Hannah drives at a
constant speed, about how many hours will it take her to drive 175 km?
Answer:
Step-by-step explanation:
Mi mamá Rosa Amelia, asistió al Hospital cercano a su casa, luego de hacer atendida, el medico tratante le dio tres tipos de pastillas que tomar;la pastilla rojas cada 12 horas, la pastilla amarilla 8 horas y la pastilla blanca cada 7 horas. Si empieza a tomarse la pastilla en el día de hoy a las 12:00 del mediodía Cuándo volverá a tomarse cada pastilla otra vez?
Answer:
La próxima pastilla roja será a las 12:00 a.m.
La próxima pastilla amarilla será a las 8:00 p.m.
La próxima pastilla blanca será a las 7:00 p.m.
Evaluate the expression for x = 2, y =-1, and z = 4.
A rectangle has a width of 6 and a length of 2x+8. The area is 108 squared, what is the value of x?
Answer:
x = 5
Step-by-step explanation:
108 = 6(2x + 8)
108/6 = 18
18 = 2x + 8
18 - 8 = 10
10 = 2x
10/2 = 5
5 = x
a cruise ship heads due west from a port 3 miles directly south of San Francisco. If the ship is travelling at a constant rate of 17 mph, how fast is the distance between the ship and san francisco changing 1 hour after leaving port
Answer:
16.7
Step-by-step explanation:
speed is constant at 17 mph
Distance covered after one hour = 17 miles
Distance between port and San Francisco = 3 miles
Speed at which distance changes 1 hour after leaving port :
r² = 17² - 3²
r² = 289 - 9
r = √280
r = 16.733
= 16.7 (nearest tenth )
A developer is building a scale model of the city. From the roof of an apartment complex, the developer points two lasers at the taller office building across the street. The first laser points to the base of the building and the second laser points to the top of the building. The first laser beam has an angle of depression of 36° and is 155.7 feet long. The second has an angle of elevation of 32° and is 148.6 feet long. How tall is the office building? How far apart are the apartment complex and the office building? Round your answers to the nearest foot.
Answer:
a. 170 ft b. 126 ft
Step-by-step explanation:
a. How tall is the office building?
The two laser lights with the length of the taller office building, L form a triangle with sides 155.7 feet, 148.6 feet and L with angle 36° + 32° = 68° facing the taller office building.
We use the cosine rule to find the length of taller office building.
So, L² = 155.7² + 148.6² - 2(155.7)(148.6)cos68°
L² = 24242.49 + 22081.96 - 46,274.04(0.3746)
L² = 46324.45 - 17334.56
L² = 28989.89
L = √28989.89
L = 170.26 ft
L ≅ 170 ft
b. How far apart are the apartment complex and the office building?
Using one of the lights, the distance between the buildings, d, the laser light(being the hypotenuse side) and the building (being the opposite side)form a right angled triangle.
So, using the 155.7 feet light at 36 angle,
cos36 = d/155.7
d = 155.7cos36
d = 155.7(0.8090)
d = 125.96 ft
d ≅ 126 ft
1.What is (f-g)(x) ?
f(x)=x^4-3x^2+5x-7
g(x)= x^3-3x^2+3x-1
Answer:
that my answer
brainlist me
Instructions
Write a lesson!
You are going to write/ teach a Math Lesson. Requirements are as follows:
You will select a lesson we learned this year. (approved by teacher) Please explain the lesson fully. Make sure to include the lesson and topic.
You will describe the skills and concepts learned in the lesson detailing steps and using examples.
You will use your own descriptions and terminology of the lesson as you have understood the material.
You may use Power Point or any other method, creativity goes a long way!
don’t know what type of math you want me to do pls tell me :(
A young entrepreneur wants to set up a lemonade stand at a busy intersection. Customers arrive at a rate of 38 customers per hour according to a Poisson distribution. Customers will be served at the average rate of 58 customers per hour with exponential service times. What is the average utilization rate (%) of the entrepreneur
Answer:
65.5%
Step-by-step explanation:
Arrival rate, λ = average number of customers per hour = 38
Servive rate, μ = number of customers attended to per hour = 58
Utilization factor, ρ = λ / μ
ρ = 38 / 58
ρ = 0.6551724
Utilization rate (%) = 0.6551724 * 100% = 65.5%
I need help with problem number 3 if someone can help me with that
One pipe can fill a swimming pool in 10 hours, while a second pipe can fill the pool in 6 hours. If the second pipe is turned on 2 hours after the first, how long will it take to fill up the pool?
Answer:
6 4/5 hours
Step-by-step explanation:
If one pipe can fill the pool in 10 hours, then it can fill 1/5 of the pool in 2 hours.
If two pipe's can fill the pool in 6 hour's, then it can fill 1/5 of the pool 1 1/5 hours.
So:
6-1 1/5=4 4/5
4 4/5+2=6 4/5
y/3 = 5
X - 32 = 74
X + 13 = 65
x/2 = 3
x/4 = 1
3x = 12
Give the most precise selection
for the quadrilateral with the
following vertices.
P(0,0), Q(2a, 2b), R(20,2b), S(20,0)
Answer:
I think square
Cause it is having 4 sides and in ur question the were 4 vertuces so i think its a square
Answer:
I think A
a parrallelogram
410 people were surveyed about their favorite color. The circle graph created from the results shows that the slice for red measures 130 degrees. How many people said their favorite color was red?
Plzz help me I need help I am stumped.... will mark brainliest plzz help
Answer:
x = -11
Step-by-step explanation:
3x + 4(3-5x) =1
3x + 12 - 2x = 1
1x + 12 = 1
- 12 - 12
1x/1 -11/1 ×=-11
PLEASE HELP WORTH 10 WILL GIVE BRAINILEST
Answer:
it is 1.
Step-by-step explanation:
brainliest plz
Answer:
12
Step-by-step explanation
Solve for x. Enter the solutions from least to greatest. 5x^2 - 20x + 15 = 0
Answer:
x = {1, 3}Step-by-step explanation:
5x² - 20x + 15 = 0x² - 4x + 3 = 0x² - 4x + 4 = 1(x - 2)² = 1√(x - 2)² = √1x - 2 = ± 1x = 2 ± 1x = 1, x = 3Find the perimeter of the shape below. 4 cm 8 cm 14 cm 4 cm 6 cm 8 cm
Answer:
44cm
Step-by-step explanation:
4+4+6+8+8+14 =
8 + 14 + 22=44
The FDA is testing a new ointment designed to deliver 3.5 micrograms of active ingredient to each square centimeter of skin. Nine(9) subjects apply the ointment and then six hours later that amount of drug absorbed by the skin is measured. To determine if there is enough evidence that the mean amount of drug absorbed is different from 3.5 micrograms at the α=0.01 significance level, we would need to compare our test statistic to what critical
Answer:
t(c) = 3.355
Step-by-step explanation:
We assume a normal distribution, and with sample size n = 9 we should follow a t -student test on both tails since the FDA is interested in determining if the amount of drug absorbed is different from 3.5 micrograms.
Therefore if α = 0,01 that means that confidence interval is 99 % or 0,99
Finally with α/2 = 0,005 and 8 degrees of freedom we find in t-student table t(c) = 3.355
HELP !!!!!!!!!!!!!!!!!!!!!!!
Answer:
25[tex]\pi[/tex] Or 78.5 units³
Step-by-step explanation:
1/3πr²h
1/3xπx25x3=25π or 78.5
Find the volume of the Cone.
____________________Solution :-Given Information :- Radius of the Base of Cone = 5 unitsRadius² = 5² = 25 unitsAltitude = 3 units Value of π = 3.14To Find :- Volume of Cone. Formula Used :- Volume of Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h [/tex] Calculation :-We will substitute the given values in the formula,
⇒ Volume of Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h [/tex]
Substituting the values, We get,
⇒ Volume of Cone = [tex] \sf \frac{1}{3} \times 3.14\times 25 \times 3 [/tex]
On further calculating, We get,
∴ Volume of Cone = [tex] \sf 78.5 units³ [/tex]
____________________Final Answer :-Volume of Cone = [tex] \bf 78.5 units³ [/tex]
____________________HELLLP PLZZZZ , i need to anwer this quastion is a major grade :((
Answer:
I think it might be C but I dont know . Hope its right !
Step-by-step explanation:
PLZ HELP I WILL GIVE BRAINLIEST ANSWER EACH QUESTION PLZ THANKS!!!!!!
Answer:
1. 12
2. 18
3. 2
4. 10
5. 8
6. 1
7. 12
8. 81
Step-by-step explanation:
Numerator and denominator have to be multiplied by the same number
For the 1st one
4 * 4 = 16
Therefor multiply 3 *4 = 12
Number 2
3 * 9 = 27
Therefor muliply 2 * 9 = 18
Helppp Pleaseeeee???
Answer:
Prism A
Step-by-step explanation:
5 times 4 times 4 is 100
7 times 3 times 3 is 63
The difference is 17
Solve for x 8-2x = 5( x4)
Maria has a bag with 6 red marbles, 6 blue marbles, and 4 green marbles looking Maria picks one . She does not replace it and she picks another oneOn the first pick, Maria gets a green marble. What is the probability that she gets a red marble on her second pick?
Answer: Hello there!
initially Maria has 6 red marbles, 6 blue marbles, and 4 green marbles.
You know that in the first pick, Maria gets a green marble ( this means that now there are 3 green marbles left)
Now we want to know the probability that she gets a red marble on the second pick.
Now there are 6 + 6 + 3 = 15 marbles in the bag, and 6 of them are red ones. Then the probability of getting one red is the number of red ones divided by the total amount ( which is the ratio of red marbles to total marbles)
this is 6/15.
now you can see that there is no 6/15 in the options, so we need to see which one is equivalent.
if we took the option C, 2/5, and multiply both denominator and numerator by 3, we get (3*2)/(3*5) = 6/15, then 2/5 and 6/15 are equivalents.
Then the correct answer is C.
Step-by-step explanation:
9. Find the measure of angle
a
36°
57°
Answer:
no clue bro
Step-by-step explanation: