Answers
Related Questions
1) Write an equation in point slope form
that passes through the point (1, 2) & slope
of -5
Answers
Answer:
y - 2 = -5 (x - 1)
Step-by-step explanation:
Formula for point-slope equation :
y - y₁ = m (x - x₁)
============================================================
Given :
⇒ Point (x₁, y₁) = (1, 2)
⇒ Slope (m) = -5
=============================================================
Solving :
⇒ y - 2 = -5 (x - 1)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Equation of line can be written in point - slope form as :
[tex]\qquad \sf \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]
y1 = y - coordinate of point = 2 x1 = x - coordinate of point = 1m = slope = -5So, required equation is ~
[tex]\qquad \sf \dashrightarrow \:y - 2 = - 5(x - 1)[/tex]
The volume of a cylinder is given by the formula y = ²h, where r is the radius of the cylinder and h is the height.
Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?
Ozx³ +19x²+112x+192
O 27x³ +35mx² +80*x+48
O 27x³ +35x² +1767x+1927
O 47x³+447x² +105x+72
Answers
The expression represents the volume of the can is 2x³ + 35x² + 176x + 192.
What is Volume?Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies. The measurement for volume is in cubic units, such m3.
Expression: (Math Operator, Number/Variable, Math Operator)
We have,
radius = (x + 8) and, height = (2x + 3)
So, Volume of can
= πr²h
= π(x+8)² (2x+3)
= π (x² + 16x + 64) (2x+3)
= π (2x³ + 3x² + 32x² + 48x + 128x + 192)
= π (2x³ + 35x² + 176x + 192)
So, the Expression for volume is 2x³ + 35x² + 176x + 192.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ5
Building A is 875 feet tall and contains 71 stories. Building B contains 109 stories. If the two buildings have the same number of feet per floor, approximate the height of building B rounded to the nearest foot.
Answers
Answer:
Approx. 1343 feet
Step-by-step explanation:
Building A is 71 stories at 875 feet tall. Since the two buildings have the same number of feet per floor, we can divide building A's stories to find the height of 1 story, and then multiply by the stories of building B.
Building A
71 ÷ 71 = 1 story
875 ÷ 71 = 12.32 feet
Each story is approximately 12.32 feet tall
Building B
1 story × 109 = 109 stories
12.32 feet × 109 = 1343.31 feet
Rounded to the nearest foot is 1343 feet.
pls help me this is important
Answers
Using the Charles law, the following are the solutions to the problems;
1) 16 dm3
2) 170 K
3) 2.4 L
What is Charles law?Charles law states that, the volume of a given mass of gas is directly proportional to the temperature at constant pressure.
For problem 1;
T1 = 20 + 273 = 293 K
V1 = 15 dm3
T2 = 318 K
V2 = ?
V1/T1 = V2/T2
V1T2 =V2T1
V2 = V1T2/T1
V2 = 15 dm3 * 318 K/293 K
V2 = 16 dm3
Problem 2
V1 = 250cm3
T1 = 10 + 273 = 283 K
V2 = 150cm3
T2= ?
T2 = V2T1/ V1
T2 = 150cm3 * 283 K/250cm3
T2 = 170 K
Problem 3
V1 = 2.3 L
T1 = 25 + 273 = 298K
V2 = ?
T2 = 40 + 273 = 313 K
V2 = V1T2/T1
V2 = 2.3 L * 313 K/298K
V2 = 2.4 L
Learn more about Charles law:https://brainly.com/question/16927784
#SPJ1
F(x)=x^2 + 4x + 12 what is the vertex form of f(x)? What is the minimum value of f(x)?
Answers
the equation of f(x) which is "x" terms is the equation of a vertical parabola that is opening upwards like a bowl, the minimum will be at its vertex
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{+12} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 4}{2(1)}~~~~ ,~~~~ 12-\cfrac{ (4)^2}{4(1)}\right) \implies \left( - \cfrac{ 4 }{ 2 }~~,~~12 - \cfrac{ 16 }{ 4 } \right) \\\\\\ (-2~~,~~12-4)\implies \stackrel{minimum}{(-2~~,~~\stackrel{\downarrow }{8})}[/tex]
Question 2: Find the equation of the line that has an x intercept of 2 and a y intercept of -6
Answers
Answer:
[tex]y = 3x - 6[/tex]
Step-by-step explanation:
Hello!
With an x - intercept of 2, the coordinate is (2, 0). With a y - intercept of -6, the coordinate is (0, -6).
We have to find the equation of the line that goes through these points.
The equation of a line is written in slope-intercept format: [tex]y = mx + b[/tex]
y = ordinate, y - valuem = slope, rate of changex = abscissa, x - valueb = y-interceptSlopeFirst let's find the slope using the slope formula: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Remember that a coordinate is written in (x, y) format.
[tex]\frac{-6 - 0}{0 - 2}[/tex][tex]\frac{-6}{-2}[/tex][tex]3[/tex]So, we have the slope and the y - intercept. We can plug those into the equation.
[tex]y = mx + b[/tex][tex]y = 3x - 6[/tex]The equation of the line is [tex]y = 3x - 6[/tex]
What is the volume of the solid?
Answers
Answer:
V≈314
Step-by-step explanation:
* means times
volume of a cone
it's a right circular cone
formula
volume =
π * radius squared * (height ÷ 3)
π * 5 squared * (12 ÷ 3)
π * 25 * (4)
π * 100
3.14 * 100 = 314
factoid
pi or π in fraction form is 22/7
5 and 12 means the length of that
cone is 13
because it's a right circular cone
that means there's a right triangle
one of the special triangles is a
5,12,13 right triangle where
13 is the hypotenuse
moomoomath
The annual profits for a company are given in the following table, where x represents the number of years since 2014, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the profits would reach 144 thousand dollars.
Answers
The linear regression equation that represents this data set is equal to y = 11.7x + 48.2 and an estimate of the calendar year is 2022.
How to write the linear regression equation?First of all, we would determine the slope of the given data set by using this formula:
[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]
For the sample mean (years), we have:
∑x = 0 + 1 + 2 + 3
∑x = 6.
∑x² = 0² + 1² + 2² + 3²
∑x² = 14.
For the sample mean (profits), we have:
∑y = 46 + 57 + 84 + 76
∑y = 263.
∑xy = (0 × 46) + (1 × 57) + (2 × 84) + (3 × 76)
∑xy = 453.
Now, we can determine the slope:
[tex]Slope = \frac{4(453) - 6(263)}{4(14) - 6^2} \\\\Slope = \frac{234}{20}[/tex]
Slope, m = 11.7.
For the intercept, we have:
[tex]Intercept = \frac{14(263) - 6(453)}{4(14) - 6^2} \\\\Intercept = \frac{964}{20}[/tex]
Intercept, c = 48.2.
Therefore, the linear regression equation is given by:
y = 11.7x + 48.2.
Since the profit would reach 144,000 dollars, the calendar year would be calculated as follows:
144 = 11.7x + 48.2
11.7x = 144 - 48.2
11.7x = 95.8
x = 95.8/11.7
x = 8.2.
For the calendar year, we have:
Year = 2014 + 8.2
Year = 2022.2 ≈ 2022.
Read more on linear regression here: https://brainly.com/question/16793283
#SPJ1
What is the probability that student A choses yellow and student b choses yellow from their skittles at the same time
Answers
Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.
A)
g(x) = −(1∕3)x
B)
g(x) = 3−x
C)
g(x) = −3−x
D)
g(x) = −3x
Answer: D
Answers
Answer:
the answer is D
hope it will help
using the digits 4,5,6,and 7,write the greatest 4 digit number you can without repeating any of the digits.
Answers
Answer:
7,654
Step-by-step explanation:
Arrange the digits in order to create the highest possible number.
7000 + 600 + 50 + 4 = 7654
A certain species of animal can has varying fur color. The probability that the animal will have orange fur is 0.7, the probability of brown fur is 0.11 and the probability of grey fur is 0.19. The animal also occasionally will have stripes. If the animal is orange the probability of stripes is 0.16, if the animal is brown the probability of stripes is 0.3, and if the animal is grey the probability of stripes is 0.4.
What is the probability an animal has stripes?
(Round answer to three decimal places)
What is the probability an animal is orange given it does NOT have stripes?
(Round answer to three decimal places)
Answers
The probability that an animal has stripes will be 0.86.
How to calculate the probability?The probability that an animal has stripes will be:
= Orange stripes + Brown stripes + Grey stripes
= 0.16 + 0.3 + 0.4
= 0.86
The probability that an animal doesn't have stripes will be:
= 1 - 0.86
= 0.14
Therefore, the probability that an animal doesn't have stripes is 0.14.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Without plotting the function
y = f(x) on a graph paper, find the coordinates of the common points of the axes when
a) f(x) = 4x² - 25
b) f(x) = 3x² - 5x
Answers
Please solve these questions!! preferrably today since the quarter locks today!!
Answers
Answer:
131
Step-by-step explanation:
Eugene and three of his friends went out to eat. They decided to split the bill evenly. Each person paid $11. What was the total bill?
Answers
Answer:
Step-by-step explanation:
Je calcule la facture totale
11x4=44
La facture totale d'Eugène et ses trois amis était de 11$
I need this answer asap (fast)
Of the 12.4 million species of organisms in the world today, 64% (almost two thirds) are insects.
Estimate to the nearest million the number of insect species.
Answers
Answer:
8 million insect species
Step-by-step explanation:
Solving :
⇒ Number of species = Total organisms × % of the species
⇒ Number of species = 12.4 × 64%
⇒ Number of species = 0.124 × 64
⇒ Number of species = 7.936 million ≈ 8 million insect species
The outside of a rectangular picture frame has length 4x + 5 centimeters and width 2x + 3 centimeters. The picture window inside the frame is a rectangle that is 4x - 2 centimeters long and x + 1 centimeters wide.
a. Write a polynomial to describe the area (in square centimeters) of the picture window.
b. The picture frame, not including the window, is made of flat pieces of wood. Write a polynomial that describes the area (in square centimeters) of the wooden part of the frame. Explain your reasoning
Answers
The area of the wooden part of the frame is 4x² +20x +17 sq.cm , Area of a Rectangle is 4x² +2x-2 sq.cm .
What is a Rectangle ?A rectangle is a polygon with four sides . The opposite sides are parallel and equal.
It is given that the outside length and breadth is 4x + 5 centimeters and width 2x + 3 centimeters.
inside the frame has length and breadth 4x - 2 centimeters long and x + 1 centimeters wide.
The polynomial to describe the area of the picture window
The dimension of the inner picture frame is the dimension of the picture window
Area of a Rectangle = Length * Breadth
Area of a Rectangle = (4x-2) (x+1) = 4x² +4x -2x-2 = 4x² +2x-2 sq.cm
The picture frame area without the window =
Area of the total picture frame - Area of the inner picture frame
= (4x+5)(2x+3) - (4x-2)(x+1)
= 8x² + 12x +10x+15 -4x²-2x +2
= 4x² +20x +17
The area of the wooden part of the frame is 4x² +20x +17 .
To know more about Rectangle
https://brainly.com/question/12394910
#SPJ1
Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below.
Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28.
Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression?
–6x – 1
–6x + 2
6x + 1
6x – 2
Answers
Answer:
6x-2
Step-by-step explanation:
-4x(1-3)-(2x+2)
= 4x+12x-2x-2
6x-2
(simplify)
Answer:
6x - 2
Step-by-step explanation:
Edge
The table shows the change in the price of a stock. At the end of the week, the price is $17.17.
Answers
The price of the stock after the change in price on Thursday is $16.76.
The price of the stock at the beginning of the week is $16.81.
What are the price changes?The price at the end of the week is a function of the total changes in price and the price at the beginning of the week.
$17.17 = beginning price + 0.21 + 0.09 - 0.03 - 0.02 + 0.11
$17.17 = beginning price + 0.36
Beginning price = $17.17 - 0.36 = $16.81
Price on Thursday = $16.81 + 0.21 + 0.09 - 0.03 - 0.02 = $16.76
Here are the questions:
What was the price of the stock after the change in price on Thursday?
What was the price of the stock at the beginning of the week?
Please find attached an image of the table. To learn more about addition, please check: https://brainly.com/question/349488
#SPJ1
3 (without using trig table) evaluate
It tan 60 x tan 30 divided by
Tan 60 + tan 30
Answers
Answer:
[tex]1.25332[/tex]
Step-by-step explanation:
[tex] tan(30 times tan(60 ) \div \tan(60 \div + 30) [/tex]
X÷ 5+1 = 11
X =
What does X =
Answers
Answer:
x = 2
Step-by-step explanation:
x/5 + 1 = 11
x/5 = 10
x = 50
What are the sides of (triangle)PQR?
OA. ZP, ZQ, and ZR
OB. None of these
OC. PQ, QR, and PR
OD. P. Q. and A
Answers
A triangle is a three-edged polygon with three vertices. The correct option is C.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The sides of the triangle PQR are PQ, QR, and PR. Thus, the correct option is C.
Learn more about Triangle:
https://brainly.com/question/2773823
#SPJ1
Pls help me i need quick responses TwT
Answers
Answer:
56%
Step-by-step explanation:
i think your missing some info.
A
ABCD FECG
2
B
F
6
4
5
E
100°
120°
G
W
D
w = [?]°
5
60°
C
Answers
Answer:
120
Step-by-step explanation:
Corresponding angles of similar figures are congruent.
The measure for w is 120 degree.
We have ABCD ~ FECG
If two quadrilaterals are similar, it means that their corresponding angles are congruent, and their corresponding sides are proportional.
Then, we can write as
AB/ FE = CB/ EC = CD/ CD = AD/ FG
and, <A= <F,
<B = <E,
<C= <C,
<D= <G
So, the measure for w is same as angle G.
Thus, the measure for w is 120 degree.
Learn more about Similarity here:
https://brainly.com/question/26451866
#SPJ7
110- (5x) 70, 110- What is the value of x? 14 15 16 17
Answers
The value of x is 14 because the sum of all angles in kite is 360 degree option first 14 is correct.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The question is in the picture please refer to the attached picture.
We know the sum of all angles in a kite is 360 degree
110 + (5x) + 110 + 70 = 360
290 + 5x = 360
5x = 70
x = 14
Thus, the value of x is 14 because the sum of all angles in kite is 360 degree option first 14 is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ1
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
36, 27,
81
4
Find the 10th term.
Answers
Answer:
T10=108
Step-by-step explanation:
TN=bn+c
27,36,81=constant difference is 9
Tn=bn+c
Tn=9n+18
T10=9(10)+18
T10=90+18
T10=108.
hope it helps.
Answer: 2.703
Step-by-step explanation:
Use triangle XYZ to answer questions 3-5.
1) Use special right triangles to help find the length of segment XY. What is the exact height of triangle XYZ?
Click the keyboard button to enter your answer.
2)What is the exact area of triangle XYZ? Leave your answer in radical terms.
Click the keyboard button to enter your answer. Show your work.
3)What is the area of triangle XYZ to the nearest tenth of a square in?
Answers
Answer:
Step-by-step explanation:
4,5,5,6,10,11,12,13 mode
Answers
Answer: 5 is the mode
Step-by-step explanation: The mode is the number that is appeared most often in the data, so the mode in this case (4, 5, 5, 6, 10, 11, 12, 13) is 5.
Gordon had $200,000 in a CD at Lots
a Loot Bank, which just failed. If the
FDIC insurance limit per depositor,
per bank, is $250,000, how much
will Gordon get back?
Answers
Given the FDIC insurance limit, the amount that Gordon would get back is $200,000.
How much would Gordon get back?
The Federal Deposit Insurance Corporation (FDIC) was established after the great depression with the aim of insuring the deposits of customers in banks.
If the limit on insurance is $250,000, depositors with $250,000 or less would get the full amount of their deposits in case of bank failure. If the deposit is greater than $250,000, they would get $250,000.
To learn more about the FDIC, please check: https://brainly.com/question/827771
#SPJ1
HELP I'LL GIVE 50 POINTS IF YOU CAN HELP WITH THIS MATH QUESTION
IMAGE BELOW...
Answers
Answer:
last one is the answer brother