Okay, here we have this:
Considering the original function in red, we obtain the following:
Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8).
Answer:
4x - 9y + 28 = 0------------------------
Find the slope of AB:
m(AB) = (8 - 4)/(11 - 2) = 4/9Use point-slope form and point A(2, 4) to determine the line:
y - 4 = (4/9)(x - 2)Multiply both sides by 9 to clear fraction:
9(y - 4) = 4(x - 2)Open parenthesis and convert the equation into ax + by + c = 0:
9y - 36 = 4x - 8 ⇒4x - 9y - 8 + 36 = 0 ⇒4x - 9y + 28 = 03. A window cleaner has several windows to clean for a local business. What is the area of the circular window to the nearest hundredth of a square foot? teet
Given data:
The given radius of the circular window is,
\(r=3\frac{1}{2}\text{ ft}\)The expression for the area of the window is,
\(A=\pi r^2\)Substitute the given value in the above expression.
\(\begin{gathered} A=\frac{22}{7}(3.5ft)^2 \\ =38.5ft^2 \end{gathered}\)Thus, the area of window is 38.5 ft^2.
6
6
4.5
What type of triangle is the figure above?
acute
isosceles
scalene
✓
obtuse
Answer:
Isoceles
Step-by-step explanation:
Isoceles triangles have 2 sides that are the same length.
what operation do i use to
solve 3.18 -16.70
Answer:
subtraction
Step-by-step explanation:
somebody hurry PLSSSSS
a. The image of the net of the square pyramid is given in the diagram attached below.
b. Surface are of the square pyramid = 224 mm²
What is the Surface Area of a Square Pyramid?Surface area of square pyramid = The sum total of each net surface that makes up the square pyramid.
a. An image of the net of the square pyramid is given in the diagram attached below.
The net is made up of 1 square and 4 triangles.
b. Surface are of the square pyramid = 4(area of triangle) + area of square.
= 4(1/2bh) + s²
b = 8 mm
h = 10 mm
s = 8 mm
Thus:
Surface are of the square pyramid = 4(1/2 × 8 × 10) + 8²
Surface are of the square pyramid = 224 mm²
Learn more about the surface area of pyramid on:
https://brainly.com/question/16060915
Binomial distributions
The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 52.5%. What is the probability that in a random sample of 430 voters, less that 49.6% say they will vote for the incumbent?
Answer: the vote will get 82.45%
Step-by-step explanation:
In a fish tank, there are 3 orange fish, 5 blue fish and 6 yellow fish. In simplest form, what is the ratio of yellow
fish to orange fish? Explain what your ratio means in context.
Show Your Work
6:3, for every six yellow fish there are three orange fish
2:1, for every two yellow fish there is one orange fish
3:6, for every three orange fish there are six blue fish
23:5. for every three orange fish there are five blue fish
P
Answer:
B. 2:1, for every two yellow fish there is one orange fish
Step-by-step explanation:
So you have 6 yellow fish and 3 orange fish.
You can divide both these values by 3 to get:
2 yellow fish: 1 orange fish
Therefore, the simplified version of the ratio is 2:1
In context this means for every 2 yellow fish there is 1 orange fish.
The answer is then B.
I hope this helps!!
- Kay
On a test that has a normal distribution, a score of 29 falls three standard deviations above the mean, and a score of 23 falls one standard deviation above the mean. Determine the mean of this test.
The mean of the test is 20.
To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.
Let's denote the mean of the test as μ, and the standard deviation as σ.
We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:
29 = μ + 3σ
Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:
23 = μ + σ
Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.
From the second equation, we can isolate μ:
μ = 23 - σ
Substituting this value into the first equation, we have:
29 = (23 - σ) + 3σ
Simplifying the equation, we get:
29 = 23 + 2σ
2σ = 29 - 23
2σ = 6
σ = 3
Substituting the value of σ back into the second equation, we find:
μ = 23 - 3
μ = 20
For more such questions on mean
https://brainly.com/question/29368683
#SPJ8
Consider the following functions.Step 3 of 4: Find (f g)(-1). Simplify your answer.Answerf(x) = x² + 6 and g(x) = -x +5(-2)-1)=
Solving for (f•g)(-1)
\(\begin{gathered} (f\cdot g)(x)=f(x)\cdot g(x) \\ (f\cdot g)(x)=(x^2+6)\cdot(-x+5) \\ (f\operatorname{\cdot}g)(-1)=((-1)^2+6)\operatorname{\cdot}(-(-1)+5) \\ (f\operatorname{\cdot}g)(-1)=(1+6)\cdot(1+5) \\ (f\operatorname{\cdot}g)(-1)=7\cdot6 \\ \\ \text{Therefore, }(f\operatorname{\cdot}g)(-1)=42 \end{gathered}\)Trey has $75 in his saving account. Each month, he deposits $25 into his account
Which expression shows the amount of money that Trey deposits in 3 months? Choose all that apply. 25+3, 25-3, 25+25+25, 25 . 3, 25÷3
Answer:25x3 and 25+25+25
Step-by-step explanation:
The expression shows the amount of money that Trey deposits in 3 months 25(3).
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
Trey has $75 in his saving account.
He deposit $25 each month.
let the number of months spend be 'm'.
So, the expression that shows the amount of money that Trey deposits in 3 months would be
= 75 + 25m
If m=3
= 75 + 25(3)
= 75 + 75
= 150
Hence, the expression is 25(3).
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Rewrite as a logarithmic equation.
*=8
Answer:
yes in the steps
Step-by-step explanation:
conclusive
12 out of 15 students play in the school band. In a class of 45 students, how many do NOT play in the band? HELP!
Answer:
9 students
Step-by-step explanation:
because 15x 3 = 45 so 12x3= 36 so 45-36= 9 Can i be branliest
Al lanzar un dado determinar la probabilidad de que salga un número primo o un número mayor que 3
The probability of a prime number or a number greater than 3 coming up is given as follows:
5/6.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:
Prime numbers: 2, 3, 5.Non-prime greater than 3: 4 and 6.Hence the probability is given as follows:
5/6.
Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
Match each table with the equation that represents the same proportional relationship.
Step-by-step explanation:
can't answer this without a picture of the graphs and equations
How to get the Y-intercept of an system of equation with equation 5x-y=9 which original form is ax+by=c i know that the slope is -a/b but what is the Y-intercept WITHOUT changing anything in the equation like making it in the form y=mx+b or anything.
Answer:
y=5x-9
Step-by-step explanation:
Step 1
You are trying to get y by itself on one side, so you subtract 5x to both sides and you are left with -y=-5x+9
Step 2
You don't want your y to be negative (-y) and there's an imaginary -1 there so in order to make that positive you have to multiply by another -1 to both sides because a negative multiplied by a negative is a positive. Then you are left with y=5x-9 because each of those numbers were also multiplied by -1. And that's your answer!
Hope this helped
HELPP ME PLEASE IM TAKING A EXAM
Answer: (x, y) --> (-y, x)
Step-by-step explanation:
A rotation of a polygon 90° counterclockwise or 270° clockwise would be translated from x, y to -y, x
Hope this helps!
Answer:
Last one
Step-by-step explanation:
UNIT ISCALING
SCALE DRAWING OF A SCHOOL BUS HAS A SCALE OF 1/2 INCH TO 5 FEET. IF THE
ENGTHS OF THE SCHOOL BUS IS 4 1/2 INCHES ON THE SCALE DRAWING, WHAT IS THE
ACTUAL LENGTH OF THE BUS? EXPLAIN OR SHOW YOUR REASONING
The actual length of the bus is given as follows:
45 feet.
How to obtain the actual length of the bus?The actual length of the bus is obtained applying the proportions in the context of the problem.
The scale drawing is of 0.5 inches to 5 feet, hence the length represented by each inch of drawing is given as follows:
5/0.5 = 10 feet.
The length of the drawing is given as follows:
4.5 inches.
Hence the actual length of the bus is given as follows:
4.5 x 10 = 45 feet.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
how many 3 fourths can you cut from a 6 in a half ft ribbon? explain
Answer:Half of 51/8 is 51/16 (you multiply 51/8 by 1/2 and that is your answer.)
Now back to mixed number
51/16 = 3 3/16
So final answer is 3 3/16.
Step-by-step explanation:
To find half of 6 3/8.
6 3/8 is a mixed number.
First will change into fraction.
6 3/8 = ((8*6)+3)/8 = 51/8
(Convert the mixed number 6 3/8 into an improper fraction first by multiplying the denominator (8) by the whole number part (6) and add the numerator (3) to get the new numerator. Place the new numerator (51) over the old denominator (8).)
As part of a survey, 75 people were asked to name their favorite sport. The results showed that 25 of the people named basketball as their favorite sport. What percentage of the people in the survey named basketball as their favorite sport?
Answer:
%33.33 repeating
Step-by-step explanation:
because 75 divided by 25 is 3 so it is 1/3
please help me asap!!
Answer:
u = 6
Step-by-step explanation:
When two triangles are similar, one can multiply one side by the ratio of the similitude to get find the length of the corresponding side in its similar triangle. The ratio of similitude can simply be defined as the scaling factor between two similar polygons. One can find the ratio of similitude by dividing two corresponding sides in similar triangles.
It is given that side NP is similar to OP. Therefore;
\(\frac{OP}{MP}\\=\frac{10}{5}\\=2\)
The ratio of similitude between the two given triangles is; 2
To find side NP, one must multiply it corresponding side, PL by the ratio of similitude;
PL * 2
= 3 * 2
= 6
Julie is using construction methods to inscribe a square into circle A. She constructed EF the perpendicular bisector to CD. To complete
the construction, what must Julie do next?
Answer:
Use a straightedge to connect consecutive points.
Step-by-step explanation:
C
Julie must draw a line joining the C to E, then E to D, D to F, and F to C, she will get a square into a circle.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
To construct a square into the circle A.
Let's assume the CD is the diameter of the circle.
By joining the point C and point D we will get a line CD(diameter of the circle)
Draw a line EF which Bisect the line CD.
Join point E and F which are on the circle and join them.
Draw a line joinig the point C to E, then E to D, then D to F, and F to C.
We will get a square inscribed into a circle.
Thus, Julie must draw a line joining the C to E, then E to D, D to F, and F to C, she will get a square into a circle.
Learn more about circle here:
brainly.com/question/11833983
Help would be appreciated
Does anyone know what 30 divided by .5 is? Thank you!! :)
Answer:
60
step-by-step explanation:
Answer: 60
Step-by-step explanation: Basically just multiply the whole number by 2 :)
Whenever you see something times 0.5, just know that its going to be that number times 2 (like another half of that number if you understand)
Why? Because 0.5 is basically like a one half (1/2) and you flip the stuff. since 0.5 is a half, here's a tip. Whenever you're dividing with decimals, use the formula KCF (keep, change, flip) (what my teacher taught me before)
Here's a drawing to better explain:
The graph on the left shows the parabola y=x2. What parabola does the graph on the right depict?
y-axis
0
2
x-axis
sixe-A
x-axis
Assessment
Answer:
y=x^2 + 1
Step-by-step explanation: the second parabola is only raised by 1 unit up, therefore the entire function shifts upwards by 1.
The graph shows the amount of profit in thousands of dollars for a toy each year .A scatter plot of the data is shown below with the line of best fit .
What statement are true related to the line of best fit ? Select all that apply
A.the amount of profit after the first year was around $0.
B.the amount of profit increases about $10,000 each year.
C.the amount of profit decreases about $10,000 each year.
D.the amount of profit after the first year was around $30,000.
E. The amount of profit after 10 years is approximately $120,000.
Answer:
Step-by-step explanation:
We want to confirm which of the given statement is true about the graph.
A) the amount of profit after the first year was around $0
-----------false
From the given graph, the amount of profit after year was far more $0. So the statement above is false.
B) The amount of profit increases about $10,000 each year ------------true
From the line of best fit shown in the graph, the amount of profit increases each year by approximately $10,000.
C) the amount of profit decrease about $10,000 each year ------------ False
From the line of best fit on the graph, we can observe that the amount of profit does not decrease. It rather increases every year.
D) the amount of profit after the first year was around $30,000 ------------true
From the given graph, the amount of profit after the first year is approximately $30,000.
So, the statement is true.
E) the amount of profit after 10 years is approximately $120,000 --------- true
At the year 10 on the graph , the corresponding amount of profit is $120,000.
If you place a 35-foot ladder against the top of a 31-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
4ft
Step-by-step explanation:
The bottom of the ladder will be 16.25 feet from the bottom of the building.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
As per the situation, we create a right triangle as shown.
Let x be the distance from the bottom of the building to the bottom of the ladder.
Using Pythagoras's theorem, then, we have:
x² + 31² = 35²
Simplifying this equation, we get:
x² = 35² - 31²
x² = 264
x = 16.25 (rounded to the nearest tenth of a foot).
Therefore, the bottom of the ladder will be 16.25 feet from the bottom of the building.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ6
Simplify 6x^2y^3(2x^2y)^3
Answer: 6x2y3(2x2y)3
=48x^8 y^6
Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
What is the equation of the line that passes through the point (1,3) and has a slope
of -1?
Answer:
y = -x + 4
Step-by-step explanation:
to find the equation of a straight line with the slope and a pair of coordinates given the equation is
y - y1 = m(x - x1)
where x is the slope
x1 and y1 are the coordinates given
By substitution,
y - 3 = -1(x -1)
y - 3 = - x + 1
y = - x + 1 +3
y = -x + 4
(q1) Find the length of the curve described by the function
The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:
L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2
The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.
Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:
L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral be solved.
We can, however, find a general solution. We use the above formula and substitute the limits of integration.
Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
To know more about Integral.
https://brainly.com/question/27419605
#SPJ8