6. A line passes through (1, -5) and (-3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.
Answer:
1.y−7=3(x+3)
2.y=3x+16
Step-by-step explanation:
use point-slope formula to find the slope and plug it into the equation
y-y₁=m(x-x₁)
slope= -[tex]\frac{y2-y1}{x2-x1}[/tex]
plug in the value of x and y from both of the coordinates into this equation and then use one set of points and slope to get your equation
5. A silo was constructed at a farm in the shape of a right circular cylinder. It was built with an
approximate volume of 842,411 cubic meters and a height of 85 meters. What was the length of the diameter
of the base, to the nearest meter?
Answer: 112 meters
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder (V) : π x radius ² x heightReplacing with the values given :
842,411 = π x r ² x 85
Solving for r:
842,411 / (π x 85) = r²
3,154.67 = r²
√3,154.67 = r
56.16 m = r
Finally, we have to multiply the radius by 2 to obtain the diameter:
56.16 x 2 = 112 meters
Feel free to ask for more if needed or if you did not understand something
A triangle has side lengths of 11 cm and 9 cm. Which could be the value of the third side, 20 cm or 15 cm?
There are several vendors at the carnival who sell products and also advertise their businesses.
Steve works for a recreational company that sells ATVs, dirt bikes, snowmobiles, and motorcycles.
His boss paid him $500 for working all of the days at the carnival plus 5% commission on all of the sales made at the carnival.
What was the minimum amount of sales Steve needed to sell if he earned more than $1,500?
Answer:
Step-by-step explanation:
third side is <11+9 or <20cm
or >11-9 or >2
so third side=15 cm
Let x be the sale.
Then 500+.05x>1500
.05x>1500-500
.05 x>1000
x>$2000
minimum sale=$2000
Answer:
Length of Third Side = 15 cm,
Steve Sold More than $ 20,000
Step-by-step explanation:
1 . Consider the Triangle Inequality Theorem, as to solve for the length of the third side;
[tex]Triangle Inequality Theorem -\\\\| a - b | < c < a + b,\\| c - a | < b < c + a,\\| c - b | < a < c + b,\\\\Say, a = 11 cm, b = 9 cm, c = 20 -\\\\11 - 9 < 20 < 11 + 9,\\20 - 11 < 9 < 20 + 11,\\20 - 9 < 11 < 20 + 9\\\\As 20 = 20, not 20 < 20 -\\Conclusion ; Length of Third Side = 15 cm[/tex]
2 . Consider c - commission $;
[tex]5percent - FractionForm, -\\5 / 100 - Simplified -\\1 / 20,\\[/tex]
[tex]Inequality - 500 + 1 / 20 * c > 1,500,\\500 + 1 / 20 * c > 1,500 =\\1 / 20c > 1,000,\\c > 20,000 -\\Conclusion ; Steve Sold More Than 20,000 Dollars[/tex]
PLSSSS HELP NEED ASL
Answer:
27/36.
Step-by-step explanation:
By definition, the tangent function is defined as the ratio of the side opposite to the angle to the side adjacent to the angle (opp/adj).
From angle C, the opposite side is 27, and the adjacent side is 36. We can say that tan C = 27/36.
Find the value of x In this triangle
Answer:
x = 25
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
2x+ x+15 +90 = 180
Combine like terms
3x+ 105 = 180
Subtract 105 from each side
3x+105-105 = 180-105
3x = 75
Divide each side by 3
3x/3 = 75/3
x = 25
The value of X is 25 degree.
please see the attached picture for full solution
Hope it helps..
Good luck on your website
Samantha and Luis are attempting to determine the average number of library books that seventh-grade students check out at one time. Samantha surveys every other seventh grade student leaving the library. She samples a total of 40 of the 200 seventh graders. Luis samples 30 of the 200 seventh grade students at random in the school cafeteria. Whose sample is the most random? Luis because his sample is taken from the population of all seventh graders Luis because he samples fewer students Samantha because she samples more students Samantha because her sample is taken from the population of students who use the library
Answer:
Luis, because his sample is taken from the population of all seventh graders. However, Samanthan has the advantage of having a bigger sample, and that makes it more representative.
Taking the sample of the library as Samantha did, is biased, because most of the students there is checking a book, and the aim of the study is not only the ones that use the library, but in general the seventh grade students.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Please find the VOLUME of this figure... Write the formula and plug in the values... Write your answer with units and box your answer
ALSO
What is this shape called
Answer:
This shape is cylinderVolume = [tex]\pi r^2h[/tex]⠀⠀⠀⠀Volume = 22/7 × 6 × 6 × 6
⠀⠀⠀⠀Volume = 678.857 in³
Stuart is considering a 3/27 balloon mortgage with an interest rate of 4.4% to
purchase a house for $268,000. What will be his balloon payment at the end
of 3 years?
I am not sure, but I hink it is C!
Answer: It’s A. 254,196.86
Step-by-step explanation:
Find the volume of the following figure.
104.6 km3
262.1 km3
186.7 km3
560 km3
Hello!
Answer:[tex]\boxed{ \bf The~volume~of~the~figure~is~186.7~km^3.}[/tex]
___________________________________________________
Explanation:We must use a certain formula to find the volume. The formula is:
V = [tex]\frac{lwh}{3}[/tex]
Substitute the values:
V = (10 × 7 × 8) ÷ 3
V = [tex]\frac{560}{3}[/tex]
V = 186.7
I need help on this.
Answer:
11042
Step-by-step explanation:
since it says "in all" that means u have to add them up
6,836 + 4,206 = 11,042
Pls help with this it is really quick
Answer:
The first one!
Step-by-step explanation:
1/4*1/4*1/2*= 1/32
The table represents a function.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.
What is f(5)?
–8
–1
1
8
Answer:
The value of f(5) is:
-8
Step-by-step explanation:
Lets make table which represents the function.
Th table has 2 columns, first column contains values for x, second column contains values of y
The table has 4 rows, which means that there are 4 values of x, which corresponds to 4 values of y.
The table is given as:
x f(x)
-4 -2
-1 5
3 4
5 -8
We need to find the value of f(5).
We can get the value of f(5) if we substitute x = 5 into f(x)
We can see in the table, that if we substitute x=5 in f(x), we get the value of f(5) = -8
Which is the answer
Answer:
F(5)=8
Step-by-step explanation:
Match the term to its definition.
1. represent a range of values within which a true mean will fall
an estimate that is a single number which is represented as a
2.
point on a line
subset of the total population from which estimates about the
3.
population can be made
interval estimate
point estimate
Sample data
Answer:
Sample data - subset of the total population from which estimates about the population can be made
Point estimate - an estimate that is a single number which is represented as a point on a line
Interval estimate - a range of values within which a true mean will fall
Hope this is correct :)
4. An airplane traveling at 60 m/s comes to a stop in 10 seconds. Calculate the airplane’s acceleration
The airplane's acceleration is 6m/s^2
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Ariana is setting up a salt-water
aquarium. The aquarium holds
24 gallons of salt water. If each gallon
of salt water weighs 8.6 pounds, how
much will the salt water in Ariana's
aquarium weigh?
A 20.64 pounds
B 51.6 pounds
C 206.4 pounds
D 516 pounds
Answer:
206.4
Step-by-step explanation:
we multiply 8.6*24 and get 206.4
we know this because 1 gallon is equal to 8.6 so we multiply both quantities and get 206.4
I will give u 100 points if u can answer this quition pls it is hard for me John has three pieces of rope. One piece was 31 cm long, one piece was 0.33 m long, and one piece was 0.45 m long. John wants to know how much rope he has. Which statement best describes how John should figure out the amount of rope he has? Add 31 + 0.33 + 0.45; John has 31.78 cm of rope. Add 31 + 0.33 + 0.45; John has 31.78 m of rope. Add 0.31 + 0.33 + 0.45; John has 1.09 cm of rope. Add 0.31 + 0.33 + 0.45; John has 1.09 m of rope.
Answer:
Add 0.31 + 0.33 + 0.45;
Step-by-step explanation:
Hope I got it right! If not i'm sorry.
Answer: The last one where it’s 1.09 rope
Step-by-step explanation: cm and m are different measurements so this is the only one that works since 31 would be a decimal
WHAT IS THE PYTHOGERON TRIPLETS IF ONE NUMBER IS 36
Answer:
Step-by-step
Let the given number be n>2.
For n even, n2+((n/2)2–1)2=((n/2)2+1)2.
For n odd, n2+((n2–1)/2)2=((n2+1)/2)2
use the forumla to find u r answer
standard form of a pythagorean triplet is 2m, m²+1, m²-1
let us take 2m as 36. so
2m=36, m=36/2
therefore m=18
m²+1 =18²+1 = 324+1 =325
m²-1 =18²-1 = 324-1 =323
therefore 36,325,323 form a pythagorean triplet.
For checking, 36²+323² should be equal to 325²
Tell me if this was helpful....
Which has the greatest value?
A)
216
B)
125
C)
64
D)
49
Answer:
A) 216
Step-by-step explanation:
216 has the greatest value
WILL MARK THE BRAINLEIST ASAP The graph below shows the percentages of ingredients in a salad mix. A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots. Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have? 6 ounces 12 ounces 18 ounces 27 ounces
Hi! here's your answer!ヾ( ̄▽ ̄)
Step-by-step explanation:
Your answer is 18 ounces of romaine lettuce!
Have a nice day/night~ (。・∀・)ノ゙
The correct option is 18 ounces. The weight of romaine lettuce in salad mix container is 17.28 ounces.
Given to us:
iceberg = 40%
romaine = 27%
spinach = 15%
arugula = 12%
carrots = 6%
The total weight of salad mix container = 64 ounces
Romaine lettuce the container have is 27% of the total weight of salad mix container Dominic buys. Therefore,
weight of romaine lettuce in salad mix container,
= 27% of the total weight of salad mix container
= 27% of 64 ounces
= [tex]\dfrac{27\times 64}{100}[/tex]
=17.28 ounces
Hence, the weight of romaine lettuce in salad mix container is 17.28 ounces.
To know more visit:
https://brainly.com/question/8011401
Which of the following is not a valid conclusion given parallelogram ABCD with diagonals AB and BD?
a
AB=CD
b
AC=BD
c
d
m
Answer:
AC=BD
Step-by-step explanation:
Which of the following discrete random variables could be represented by a
probability histogram whose bars are all the same height?
O A. The number of goals scored per game by a soccer team in one
season
B. The ages of students in a high school
O C. The outcomes of spinning a spinner with five equal sections
O D. The outcomes of rolling a weighted die
Answer: The outcome of spinning a spinner with five equal outcomes
Step-by-step explanation:
The discrete random variable that could be represented by a probability histogram whose bars are all the same height is;
Option C; The outcomes of spinning a spinner with five equal sections
The probability histogram is a type of histogram whereby the height of each bar shows the true probability of each outcome of a specific number of trials.
Now, let us look at the options;
Option A; This cannot be represented by a probability histogram because it doesn't show probability.
Option B; This cannot be represented by a probability histogram because it shows just ages and doesn't show probability.
Option C; This can be be represented by a probability histogram because it shows the probability of each outcome of spinning five equal sections.
Option D; This cannot be represented by a probability histogram because it should show the probability of each outcome and not just that of one weighted die.
Read more at; https://brainly.com/question/22690577
Write the slope intercept form 2x-3y=9
Answer:
y = 2/3 x - 3
i hope i helped
What are the excluded values?
0 and 15
3 and -5
-3 and 5
Answer:
x=5 x = -3
Step-by-step explanation:
-7 / ( x^2 -2x -15)
Factor the denominator
-7
----
(x-5) ( x+3)
The excluded values are when the denominator is equal to zero
(x-5) (x+3) =0
x-5 =0 x+3=0
x=5 x = -3
Please help me with these two questions. Find the circumference AND area for the circles on the right. (I will mark brainliest)
5). Radius = 6 km. Circumference = 12π km. Area = 36π km²
6). Diameter = 8 mm. Circumference = 8π mm. Area = 16π mm²
Answers:
1. Circumference=12 pi on
Area=36 pi km^2
2. Circumference=8 pi mm
Area=16 pi mm ^2
Please see theattachedpicturefor full solution
Hope it helps
Good luck on your assignment
17. What is the slope of the line given by the equation
2x + 9y = -18?
A.-2
B.-
[tex] \frac{9}{2} [/tex]
c. -
[tex] \frac{2}{9} [/tex]
D.2
E.9
Answer:
slope = - [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 9y = - 18 ( subtract 2x from both sides )
9y = - 2x - 18 ( divide all terms by 9 )
y = - [tex]\frac{2}{9}[/tex] x - 2 ← in slope- intercept form
with slope m = - [tex]\frac{2}{9}[/tex]
Why does Percy decide he has no choice but to jump? What would you have done in his place?
Answer:
He had nowhere to go,and he had to prove his bloodline to Echidna,and she called him a coward. He wanted Poseidon to help him.
Step-by-step explanation:
solve for x. Will mark the brainliest.
Answer:
x=10 degrees
Step-by-step explanation:
11x+14=46+(8x-2)
11x+14=46+8x-2
3x+14=44
3x=30
x=10
Answer:
x=10
Step-by-step explanation:
180-(11x+14)=intern angle
166-11x=intern angle
166-11x+8x-2+46=180
-3x+210=180
180-210=-3x
-30=-3x
-30/-3=x
10=x
You have saved $900 for a vacation to Aruba. The total cost of the trip is $2100. If you save $150 a week, how many weeks will it take before you have enough money for your trip?
Answer:
8 weeks
Step-by-step explanation:
$2100 - $900 = $1200
$1200/$150 = 8 weeks
Find the area of the trapezoid PART. Need this done by 6/6/20
Answer:
7.5 squared units
Step-by-step explanation:
[tex]b_1 = 4\: units, \:\: b_2 = 1 unit \:\: h = 3 \: units \\
Area\: of \:Trapezoid = \frac{1}{2} \times (b_1 + b_2) \times h \\ \\ = \frac{1}{2} \times (4 + 1) \times 3 \\ \\ = \frac{1}{2} \times 5 \times 3 \\ \\ = \frac{1}{2} \times \times 15 \\ \\ = 7.5 \: {units}^{2} [/tex]
A balloon rises vertically at the rate
of 10 ft. per second. If it encounters
a wind that gives a horizontal displace-
ment of 5 feet per second,
find (to the nearest whole degree)
the angle with the horizontal at
which the balloon rises.
a.
b.
find (to the nearest 10 feet) its
distance from the starting point
after one minute.
Answer:
a) 63°
b) 600ft
Step-by-step explanation:
To solve the above question, we would be using Trigonometric function
a) Find (to the nearest whole degree)
the angle with the horizontal at
which the balloon rises.
This above question a is a right angled triangle that is solved for using Trigonometric function of tan
From the question, we told that,
Vertical distance ( opposite side) = 10 feet
Horizontal distance ( adjacent side) = 5 feet.
Tan θ = opposite side/ adjacent side
Tan θ = 10/5
Tan θ = 2
θ = arc tan (2) or tan -¹(2)
θ = 63.434948823°
θ = 63°
The angle with the horizontal at
which the balloon rises to the nearest whole degree is 63°
b) find (to the nearest 10 feet) its
distance from the starting point
after one minute.
Distance = Speed × time
Time is given in the question as 1 minute
We would convert it to seconds = 60 seconds
We are told in the question that the balloon rises vertically at the speed of 10ft/s
Distance = 10ft/s × 60seconds
Distance from the starting point per minute = 600ft