The slope of the side connecting (-4,1) and (-6,5) = -2
The slope of the side connecting (1,2) and (-1,6) = -2
The slope of the segment joining two points (x₁, y₁) and (x₂, y₂) = \(\frac{y_2-y_1}{x_2-x_1}\)
We have to find the slope of the side joining the points (x₁, y₁) = (-4,1) and (x₂, y₂) = (-6,5)
Slope = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{5-1}{-6--4}\)
= 4/ -2
= -2
We have to find the slope of the side joining the points (x₁, y₁) = (1, 2) and (x₂, y₂) = (-1,6)
Slope = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{6-2}{-1-1}\)
= 4/-2
= -2
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the square root of 50
Answer:
The square root of 50 is approximately 7.07.
Answer:
7.07106781187...
Step-by-step explanation:
its an irrational number
Find the volume of this sphere.
Round to the nearest tenth.
Formulas for Spheres
S.A. = 4nr²
V
16 ft
?] ft ³
Step-by-step explanation:
your teacher even wrote all the formulas there.
you have all numbers.
so, all that is left is to take the calculator and type things in.
so, what was your problem here ?
I cannot tell you much more than what is written in your question already.
the only thing : the radius (needed in the formula) is half of the diameter.
so,
V = 4/3 × pi × r³ = 4/3 × pi × (16/2)³ = 4/3 × pi × 8³ =
= 4/3 × pi × 512 = 2048/3 × pi = 2,144.660585... ft³ ≈
≈ 2,144.7 ft³
a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
When would you use a negative number to describe a real world amount? Give an example
Solve for m. F=1/2 mr
Answer:
2F /r = m
Step-by-step explanation:
F=1/2 mr
Multiply each side by 2
2F = 2*1/2 mr
2F = mr
Divide each side by r
2F/r = mr/r
2F /r = m
Write the equation for a line with a y-intercept of 3 and an x-intercept of 5.
Answer:
it's 15
Step-by-step explanation:
just do ( 5× 2) = (10+5)=15
A company is looking to cover a floor in their office with wood. How many square yards of wood does the company need to cover the floor?
Answer:
\(Area = 72\)
Step-by-step explanation:
From the attachment, we can see that the floor has a trapezium shape with the following dimensions.
\(Height = 6yd\)
The parallel sides (P1 and P2) are:
\(P_1 = 10 + 4 = 14\)
\(P_2 = 10\)
The square yard needed to cover the floor is the area of the trapezium surface and this is calculated as follows:
\(Area =\frac{1}{2} * (Sum\ of\ parallel\ sides) * Height\)
\(Area =\frac{1}{2} * (P_1 + P_2) * Height\)
\(Area = \frac{1}{2} * (10 + 14) * 6\)
\(Area = \frac{1}{2} * (24) * 6\)
\(Area = 12 * 6\)
\(Area = 72\)
Hence, 72 square yards is needed to cover the floor
Find r. R + 5.6 = 10.8
Answer:
r=5.2
Step-by-step explanation:
Answer:
5.2
Step-by-step explanation:
I used a calculator
Could I have a brainliest pls
Read the sentence from the text “where do you get all the journals and letters?” Was Stevens query.
The word query comes from the Latin word quaere, meaning “ask.” What does query mean in the sentence above?
Answer:
Question
Step-by-step explanation:
"where do you get all the journals and letters" is a question that was asked by Stevens
Answer: B
Step-by-step explanation:
If f(x) = 2x − 5, then what is the value of f(4x − 1)?
Step-by-step explanation:
well, you put the input term into the place of the original variable (as with any actual constant value) :
f(4x-1) = 2(4x-1) - 5 = 8x - 2 - 5 = 8x - 7
we could call this now g(x) (= f(4x - 1)).
Which of the following situations could be solved using the equation 7h+1=29
Answer:
7h+1=29 is equal to 7 x 4 + 1=29
Step-by-step explanation:
We know that 7 times 4 = 28. So the value of h is 4. And of course, you add the one.
7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.
a. The graph represents a proportional relationship.
b. The graph does not represent a proportional relationship.
c. The graph does not represent a proportional relationship.
d. The graph represents a proportional relationship.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:
y = kx.
Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.
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CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!
Answer:
no
Step-by-step explanation:
it has no number behind it so it is just 12 which is a integer
Answer:
Amelia is correct.
According to Google, an integer is a whole number, not a fraction. Therefore, she is correct.
The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form. 39/2 13 13 39/2
Similarity ratio is also called the scale factor and is defined by the ratio of the lengths of the sides in two similar polygons:
\(\begin{gathered} SF=\frac{lenght\text{ of right square}}{\text{lenght of left square}} \\ SF=\frac{\frac{39}{2}}{13} \\ SF=\frac{3}{2}\text{ or 1.5} \end{gathered}\)The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 23 of what the temperature was at 1 p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box.
°F
Answer: 33.5
Step-by-step explanation:
the answer is: 58.95
i took the test
Value 2000 is decresed to 100. What is the percent decreased
Answer:
PD = 95%
Step-by-step explanation:
(2,000 - 100) / 2,000 times 100
( (original - new) ) / original times 100
= 1,900 / 2,000 times 100
= 0.95 times 100
= 95% decrease
Step-by-step explanation:
Type the correct answer in each box. Lmk!
There were 0-5 Listeners when the song was released.
The approximate number of listeners who had heard the song after the hour 5 was 15- below 50
The number of listeners was about 29,458 after hour 5842.62/
How can I explain?Alternative forms
Y= 4,637(1.26)ˣ
292131/50,5842,31/50,5.84262 =10³
5842.62
Including polynomial components, such as squared or cubed predictors, is the most popular technique to fit curves to data using linear regression. Typically, the model order is determined by the number of bends required in your line. Each exponent increment causes one additional bend in the curved fitting line.
Curve of Best Fit: a scatter plot curve that best approximates the trend. If the data looks to be quadratic, we use quadratic regression to get the equation for the best-fit curve. We do a cubic regression if it looks to be cubic.
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A farmer uses x lb of fertilizer per acre at a cost of 1.4 per pound, leading to a revenue of R = 700 – 400e -x/100 dollars per acre.
(a) How many pounds of fertilizer should be applied per acre to maximize profit? Write you answer in decimal form rounding to three decimal places
Number
pounds per acre.
(b) What is the maximum profit on a 200 acre farm?
$ Number
Answer:
The cost can be written as:
C(x) = $1.4*x
The revenue can be written as:
R(x) = $700 - $400*e^(-x/100)
And as you know, the profit is written as the difference between the revenue and the cost:
P(x) = R(x) - C(x)
P(x) = $700 - $400*e^(-x/100) - $1.4*x
Now we want to maximize this, then we must look at the zeros in the derivate of P(x)
dP/dx = P'(x) = (-1/100)*$400*e^(-x/100) - $1.4
The maximum will be when P'(x) = 0.
we can solve:
0 = (-1/100)*$400*e^(-x/100) - $1.4
$1.4 = (-1/100)*$400*e^(-x/100)
(-100)*$1.4 = $400*e^(-x/100)
$140 = $400*e^(-x/100)
($140/$400) = e^(-x/100)
0.35 = e^(-x/100)
Now we can apply the Ln() in both sides and get:
ln(0.35) = ln(e^(-x/100) ) = -x/100
-ln(0.35)*100 = x = 104.98
You should apply 104.90 pounds of fertilizer.
b) The profit per acre, is:
P(x) = $700 - $400*e^(-x/100) - $1.4*x
Then if you have 200 acres, the profit will be:
200*P(x) = 200*($700 - $400*e^(-x/100) - $1.4*x)
and the maximum profit is whit x = 104.98 pounds, then:
200*P(104.98) = 200*($700 - $400*e^(-104.98/100) - $1.4*104.98) = $82,604.98
What Fraction is equivalent to 3/-5?
A. 5/-3.
B. -5/-3.
C -5/-3.
D. -3/-5
Answer:
No option is correct
Step-by-step explanation:
As they are written, none of them is equivalent to 3/-5
Hope this helps
Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with probability of success (correct) given by p= 0.2. Find the indicated probability for the number of correct answers.
Find the probability that the number x of correct answers is fewer than 4.
Answer:
Step-by-step explanation:
Let x be a random variable representing the number of guesses made for the sat questions.
Since the probability of getting the correct answer to a question is fixed for any number of trials and the outcome is either getting it correctly or not, then it is a binomial distribution. The probability of success, p = 0.2
Probability of failure, q = 1 - p = 1 - 0.2 = 0.8
the probability that the number x of correct answers is fewer than 4 is expressed as
P(x < 4)
From the binomial distribution calculator,
P(x < 4) = 0.97
Uhh help?
its completing the square
theres 4 problems if you can help
1) v^2-15v-63=3
2)n^2-19n-50=-2
3)5x^2+9x+9=6
4)5a^2+20a-43= -10
b. Passes through the point (2, -4) and is parallel to 3x + y = 5
c. Passes through the point (2, -4) and is perpendicular to 3x + y = 5
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)
now, keeping in mind that perpendicular lines have negative reciprocal slopes
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)
so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)
The following five values are a sample: 11, 6, 10, 6, and 7. Required: a. Compute the sample variance. (Round your answer to 1 decimal place.) b. Determine the sample standard deviation.
The standard deviation of a sample is the square root of the variance
The variance is 5.5The standard deviation is 2.35How to determine the varianceThe sample is given as: 11, 6, 10, 6, and 7
Start by calculating the mean
\(\bar x = \frac{\sum x}{n}\)
So, we have:
\(\bar x = \frac{11+ 6+ 10+ 6+ 7}{5}\)
\(\bar x = 8\)
The variance is then calculated as:
\(\sigma^2 = \frac{\sum(x - \bar x)^2}{n -1}\)
This gives
\(\sigma^2 = \frac{(11 - 8)^2 + (6 - 8)^2 + (10 - 8)^2 + (6 - 8)^2+(7 - 8)^2}{5 -1}\)
\(\sigma^2 = 5.5\)
Hence, the variance is 5.5
How to calculate the standard deviationIn (a), we have:
\(\sigma^2 = 5.5\)
Take the square roots of both sides
\(\sqrt{\sigma^2} = \sqrt{5.5\)
\(\sigma = 2.35\)
Hence, the standard deviation is 2.35
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HELLO CAN ANYONE ANSWER THIS PLEASE I WILL MARK YOU THE BRAINLIEST !!!
Answer:
145
Step-by-step explanation:
vertically opposite angles
Answer:
145°
Step-by-step explanation:
ANGLE DBE= ANGLE ABC
ANGLE DBE=145°
REASON= VERTICALLY OPPOSITE ANGLE
HOPE IT HELPS:)
Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram.
(please also show an step by step process of getting EAF!)
Answer:
x = 27 , ∠ EAF = 27°
Step-by-step explanation:
∠ GAF = 90° , then
∠ GAC + ∠ CAF = ∠ GAF , that is
x + 63 = 90 ( subtract 63 from both sides )
x = 27
∠ DAE = 90°
since CD is a straight angle of 180° , then
∠ CAE = 90° , so
∠ CAF + ∠ EAF = ∠ CAE , that is
63° + ∠ EAF = 90° ( subtract 63° from both sides )
∠ EAF = 27°
Which table represents a nonlinear function? ASAP
Answer:
The second table, the table in the middle.
Step-by-step explanation:
Since the x-values of all the tables differ by 1, the difference between the y-values must be constant in order for the table to be linear. In second table, the different between the first and second y-value (from top to bottom) is 3, however the difference between the second and third and third and fourth values are 1.5, which is not constant. Therefore, the second table is nonlinear.
Find the measure of ACD
A - 36 degrees
B - 126 degrees
C - 162 degrees
D - 216 degrees
Answer:
C
Step-by-step explanation:
i assume its
C.
differentiate tan inverse of x÷a
Answer:
Expression Derivatives
y = tan-1(x / a) dy/dx = a / (a2 + x2)
y = cot-1(x / a) dy/dx = - a / (a2 + x2)
y = sec-1(x / a) dy/dx = a / (x (x2 - a2)1/2)
y = cosec-1(x / a) dy/dx = - a / (x (x2 - a2)1/2)
If a projectile is launched vertically upward from the ground with an initial velocity of 60 ft per sec, then neglecting air resistance, its height s (in feet) above the ground t seconds after projection is given by s=-16^2 +60t. Which equation should be used to determine the time at which the height of the projectile reaches 20 ft?
The equation that should be used to determine the time at which the height of the projectile reaches 20 ft is
t = {60 ± √(3600 - 1280)}/32
What is a projectile? What are algebraic expressions?A projectile is an object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a projectile is launched vertically upward from the ground with an initial velocity of 60 ft per sec, then neglecting air resistance, its height s (in feet) above the ground t seconds after projection is given by S = - 16t² + 60t.
For the height of {S} = 20 ft, we can write the equation as -
S = - 16t² + 60t
- 16t² + 60t = 20
16t² - 60t + 20 = 0
t = {60 ± √(3600 - 1280)}/32
Therefore, the equation that should be used to determine the time at which the height of the projectile reaches 20 ft is
t = {60 ± √(3600 - 1280)}/32
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PLEASE ANSWER what are the slopes to these graphs ?
Answer:
13. 1/4x
14. -2/4x or -1/2x
15 1/3x or 2/6x
16. Zero
Step-by-step explanation:
13. goes up once and goes to the side 4 times
14. goes down twice and goes to the side 4 times
15. goes up one time and three to the side
16. zero slope, the line is horizontal
Answer:
13. 1/4
14. -1/2
15 1/3
16. Zero
Step-by-step explanation: