What is the equation for the line in slope-intercept form? Enter your answer in the box.
After answering the provided question, we can conclude that The y-intercept is denoted by b. (the point where the line crosses the y-axis)
what is slope intercept?In mathematics, the slope-intercept form of a linear equation is an equation of the form y = mx + b, where m is the line's gradient and b is the más, which is the point on the line where it intersects the y-axis. Because it allows you to speedily see the line and ascertain its slope and y-intercept, the slope-intercept form is a useful way to represent a line's equation. The slope of the line indicates its steepness, while the esta indicates in which the line intersects the y-axis.
The slope-intercept equation for a line is:
y = mx + b
where:
The dependent variable is y. (usually the vertical axis)
x is the independent variable (usually the horizontal axis)
The slope of the line is given by m.
The y-intercept is denoted by b. (the point where the line crosses the y-axis)
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Liam bought a car for 12,478 the car depreciates at a rate of 7% per year how long until the car is worth less than 3,000
find domain and range
f(x)=√3-2x
Answer:
Step-by-step explanation: f(x)=√3-2x
For all x∈R, f(x) is R;
Domain, Df=R (Real Number);
Let, y=f(x)=√3-2x;
y=√3-2x;
2x=√3-y;
x= [tex]\frac{\sqrt{3}-y }{2}[/tex];
For all y∈R, x is R;
Range, Rf=R
Write a phrase that could be modeled by the expression n +2n.
Answer:
Let age of mine be n years.
Age of my father is twice of mine -2 n years.
Find the sum of age of me and my father.
= n+2n
Step-by-step explanation:
if it helped you please mark me a brainliest :))
The expression n + 2n is an example of multiplication, where 2n is two times n. Adding n and 2n together results in 3n, which is three times n.
This question was on my study guide for a big pre algebra test. Only problem, I’m in algebra and never took pre-algebra. Please explain
Talk about any similarities and differences you detect between the groups, as well as what conclusions you can draw from the side-by-side boxplots.
1. To compare, we have to use the matched test.
2. n = 57
3. Sample mean difference = -0.4681
3b. Sample standard deviation of difference = 1.2824
What is the Null Hypothesis?In statistics, the null hypothesis is a statement that suggests there is no significant difference between two groups, samples, or variables being compared. It is a starting point for statistical analysis, and the goal is to either reject or fail to reject this hypothesis based on the evidence from the data.
The images below contains the histogram of differences, the comparison data and the calculation
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Panjang bayangan pohon oleh sinar matahari adalah 15 m. Pada tempat dan saat yang sama tiang bendera sepanjang 3 m memiliki panjang bayangan 6 m. Tinggi pohon adalah …
I was given this question on a review assignment but was never taught this. Please help!
You need to use the formula
pi r squared times the height and all you need to do is plug it in and you’ll have your answer
Sam has a greeting card business where he creates and sells hand-made greeting cards for all occassions. His current card requires a heart with the given dimensions on the front in each of the corners. Each heart is made of a circle and a square, where the diameter of the circle is the same as the length of a side of the square, 2 inches. Calculate the area of each heart for Sam's greeting card.
Answer: 7.14 in²
Step-by-step explanation:
1) Find the area of the square: 2*2 = 4 square inches
2) We can see that there are 2 semi-circles with the same diameter or 2 inches. Use the area of a circle formula: A = r².
Since the diameter is 2 inches, the radius is diameter/2 which is 1 inch.
Plug this information into the formula.
A=
= 3.14 inches
3) 4 + 3.14 = 7.14 inches²
The answer is the second option, 7.14 inches²
Do you want points? Comment below! Then Ill do another question!
Answer:
Step-by-step explanation: ???
Write the expression using only positive exponents. Assume no denominator equals zero
Using the laws of exponents, we can simplify the given expression as:
-(¹/₂₇)(1/x¹²)y²¹
How to use laws of exponents?Some of the laws of exponents are:
1) When multiplying like bases, keep the base the same and add the exponents.
2) When raising a base with a power to another power, keep the base the same and multiply the exponents.
3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.
The expression is given as:
(-3x⁴y⁻⁷)⁻³
Using the power to power rule of exponents, we have:
-3⁻³x⁻¹²y²¹
Using the reciprocal law of exponents, we have:
(-1/3³)(1/x¹²)y²¹
= -(¹/₂₇)(1/x¹²)y²¹
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3/4 of the bolts in the marina are white 4/7
of the remaining bolts are blue, and the rest are red. If there are nine red boats, how many boats are in the marina.
The majority of the marina's bolts are white. The remaining bolts are divided into 4/7 blue and the remainder red. There are 84 vessels at the marina if there are nine red boats.
Let's start by finding the fraction of bolts that are not red:
Fraction of white bolts: 3/4
Fraction of bolts that are not white: 1 - 3/4
Fraction of bolts that are not white = 4-3/4
Fraction of bolts that are not white = 1/4
Fraction of blue bolts: 4/7 of 1/4
Fraction of blue bolts = 4/28
Fraction of blue bolts = 1/7
Fraction of red bolts: 1/4 - 1/7
Fraction of red bolts = 7-4/28
Fraction of red bolts = 3/28
We know that there are nine red boats, which is equal to 3/28 of the total number of bolts. So we can set up an equation to solve for the total number of bolts:
3/28x = 9
Multiplying both sides by (28/3), we get:
x = (28/3) * 9
x = 28 * 3
x = 84
Therefore, there are 84 boats in the marina.
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Please help me find the arc!
Answer:
33
Step-by-step explanation:
135/360 × 2 × 22/7 × 14
= 33
square root of 98 . simifiy
We can simplify the square root of 98 by factoring 98 into its prime factors:
98 = 2 * 7 * 7
Now, we can take out one factor of 7 from the square root and simplify it:
√98 = √(2 * 7 * 7)
√98 = √2 * √7 * √7
√98 = 7√2
Therefore, the simplified form of the square root of 98 is 7√2.
Calculate the amount of money you'll have at the end of the indicated time period.
You invest $4000 in an account that pays simple interest of 6% for 8 years.
Answer:
$5920.00
Step-by-step explanation:
1. (6% ÷ 100)×4000
=240.
2. 240 interest per year
240×8 years
= $1920
3. $1920 + $4000= $5920.00
The amount of money you'll have at the end of the indicated time period is $5920.
Given
You invest $4000 in an account that pays a simple interest of 6% for 8 years.
The amount of money you'll have at the end of 8 years.
What is the interest owed for the use of the money?We know the formula of simple interest, substitute the values in it,
[tex]\text{Simple interest}=\dfrac{\text{P}\times\text{R}\times\text{T}}{100}[/tex]
Substitute all the values in the formula
[tex]\text{Simple interest}=\dfrac{\text{P}\times\text{R}\times\text{T}}{100}[/tex]
[tex]\text{Simple interest}=\dfrac{\text{4000}\times\text{6}\times\text{8}}{100}[/tex]
[tex]\text{Simple interest}=40\times6\times8[/tex]
[tex]\text{Simple interest}=1920[/tex]
Therefore,
The amount of money you'll have at the end of the indicated time period is:
[tex]= \$1920 + \$4000 = \$5920[/tex]
Hence, the amount of money you'll have at the end of the indicated time period is $5920.
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A theater has 424 seats there are eight sections of seats in the theater each section has the same number of seats how many seats are in each section
Answer:
53.
Step-by-step explanation:
Complete the square to slice the quadratic equations
1. x2(x square) -10x = -100
2. x2(x square) +7x-16=0
The solution for the equation x^2 - 10x = -100 is
x = 5 + 5√3i and x = 5 - 5√3i.The solution for the equation x^2 + 7x - 16 = 0 is
x = -8 and x = 1How to solve the equation by completing the squareTo complete the square for the equation x^2 - 10x = -100, we need to add and subtract (b/2a)^2 = (10/2)^2 = 25 to both sides of the equation:
x^2 - 10x + 25 = -100 + 25
(x - 5)^2 = -75
x - 5 = ±√75i
x = 5 ± √(75)i
x = 5 ± 5√3 i
Therefore, the solutions are x = 5 + 5√3i and x = 5 - 5√3i.
For the equation x^2 + 7x - 16 = 0, we need to add and subtract (7/2)^2 = 49/4 to both sides of the equation:
x^2 + 7x + 49/4 - 49/4 - 16 = 0
(x + 7/2)^2 = 81/4
x + 7/2 = ±9/2
x = -7/2 ± 9/2
x = -8 or x = 1
Therefore, the solutions are x = -8 and x = 1.
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need help with these two questions when anyone can do so, thanks.
The area of the composite shapes are:
1) A = 22 cm²
2) A = 91.5cm²
How to find the area of the composite shape?1) The formula for area of a trapezium is:
A = ¹/₂(sum of parallel sides) * height
Area of rectangle = Length * width
Thus:
Total Area of composite shape is:
A = (7 * 2) + ¹/₂(6 + 2)*2
A = 14 + 8
A = 22 cm²
2) Area of square = side * side
Area of semi circle = ¹/₂π(r²)
Total area of composite shape is:
A = (5 * 5) + (21 * 3) + ¹/₂π(1.5²)
A = 91.5cm²
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A piece of art is in the shape of a rectangular pyramid like the figure shown.
A rectangular pyramid with a base of dimensions 7 feet by 6 feet. The two large triangular faces have a height of 7.79 feet. The two small triangular faces have a height of 8 feet.
How much glass is needed to cover the entire pyramid?
After answering the provided question, we can state that As a result, 145.62 square feet of glass are required to cover the entire pyramid.
what is pyramid?A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal shape. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and peak. The base's edges form triangle faces known as sides that connect to the top.
To determine how much glass is required to cover the entire pyramid, we must first determine the total surface area of the pyramid, including the base.
The formula for calculating the surface area of each triangular face is:
(1/2) x width x height
27.31 square feet = (1/2) x 7 feet x 7.79 feet
24 square feet = (1/2) x 6 feet x 8 feet
Simply multiply the length and width to find the area of the rectangular base:
7 feet by 6 feet equals 42 square feet
As a result, the total surface area of the pyramid is:
145.62 square feet = 2 (27.31 square feet) + 2 (24 square feet) + 42 square feet
As a result, 145.62 square feet of glass are required to cover the entire pyramid.
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Answer: 102.53
Step-by-step explanation: I calculated all the numbers you gave me and then added them to get 102.53
The radius of a cone's circular base is 3.5 inches. The height of the cone is twice the base's diameter.
What is the volume of the cone?
Use π≈3.14.
Enter your answer rounded to the nearest whole number in the box.
in³
Answer: It is 180
Step-by-step explanation:
The vοlume οf the cοne is apprοximately 205.9 cubic inches.
What is cοne?A cοne is a shape fοrmed by using a set οf line segments οr the lines which cοnnects a cοmmοn pοint, called the apex οr vertex, tο all the pοints οf a circular base(which dοes nοt cοntain the apex). The distance frοm the vertex οf the cοne tο the base is the height οf the cοne.
The diameter οf the base is twice the radius, sο:
Diameter = 2 x Radius = 2 x 3.5 inches = 7 inches
The height οf the cοne is twice the diameter, sο:
Height = 2 x Diameter = 2 x 7 inches = 14 inches
The vοlume οf a cοne can be fοund using the fοrmula:
Vοlume = (1/3) x π x Radius² x Height
Substituting the given values, we get:
Vοlume = (1/3) x π x (3.5 inches)² x (14 inches)
Simplifying, we get:
Vοlume = (1/3) x π x 12.25 inches² x 14 inches
Vοlume = 205.9 cubic inches (rοunded tο οne decimal place)
Therefοre, the vοlume οf the cοne is apprοximately 205.9 cubic inches.
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use π ≈3.14 5mm and round your answer to the nearest hundredth
Answer:
113.04cm2
Step-by-step explanation:
6cm is the radius, right?
If so, 12*3.14 = 37.68cm is the circumference and 6^2*3.14 = 113.04cm2 is the area.
HOPES THIS HELPS
Directions: Simplify by combining like terms in each of the following expressions.
1. 1s2 + 10s2 - 21st =
2. 5st - st - t2 =
3. x^{2} + x^{2} + x^{3} =
4. 6x - 4x + 2=
5. 9x - 3s - 2t=
6. 87x + 8x - 1 =
7. 3x + 6x - 2 =
8. 8s - 4s + 3s =
9. 12 + x - 11x =
10. 12x + 24x - 3x - 4 =
11. 14t + 8t - 12t =
12. 17g + 14g - 6g + g =
13. 13 + 12 - 12 + 13x =
14. 17s - 3s + 3s =
15. 14t - 12t + t =
Answer:
1. 11s2 - 21st
2. 4st - t2
3. 2x² + x³
4. 2x + 2
5. 9x - 3s - 2t
6. 95x - 1
7. 9x - 2
8. 7s
9. 12 - 10x
10. 33x - 4
11. 10t
12. 26g
13. 13 + 13x
14. 17s
15. 3t
Prove the following theorem (Euclid's Proposition I.28) and its converse.
ℎ. ′ ,, ℎ ℎ ,ℎ ′
Answer:
Step-by-step explanation:
If a straight line falling on two other straight lines makes the interior angles on the same side less than two right angles
factor out -1/2 from -1/2(x-0)^2+x+4=0
The original equation formed after factoring out [tex]$-\frac{1}{2}$[/tex] is [tex]$$(x-0)^2 - 2x - 8 = 0$$[/tex].
What is meant by factor?
In mathematics, a factor is a number or expression that divides another number or expression evenly without a remainder. Factoring is the process of finding the factors of a number or expression. In algebra, factoring is used to simplify expressions, solve equations, and find zeros of functions. By factoring, we can rewrite a complex expression or equation as a product of simpler expressions or factors.
To factor out [tex]$-\frac{1}{2}$[/tex] from the equation [tex]$-\frac{1}{2}(x-0)^2+x+4=0$[/tex], we can divide both sides of the equation by [tex]-\frac{1}{2}$:[/tex]
[tex]$-\frac{1}{2}(x-0)^2 \div -\frac{1}{2} + x \div -\frac{1}{2} + 4 \div -\frac{1}{2} = 0 \div -\frac{1}{2}$$[/tex]
Simplifying each term, we get:
[tex]$$(x-0)^2 - 2x - 8 = 0$$[/tex]
This is the factored form of the original equation, after factoring out [tex]-\frac{1}{2}$.[/tex]
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Please Someone Help
Brainliest+30 Points
Answer:8
Step-by-step explanation:
if x>7 it means x is have to be bigger than 7
in this case,
6<7
5<7
8>7
which is answer.
There are 9 green apples and 5 red apples in a basket (a) what is the ratio of green apples to all the apples in the basket (b) what is the ratio of red apples to all apples in the bag 
After answering the provided question, we can conclude that So the ratio of red apples to all the apples in the basket is 5:14.
What is ratio?In mathematics, ratios show how frequently one number is contained in another. For example, if there are 8 oranges and 6 lemons in a fruit dish, the ratio of oranges to lemons is 8 to 6. In a similar vein, the orange-to-whole-fruit ratio is 8, while the lemon-to-orange ratio is 6:8. A ratio is an ordered pair of numbers a and b expressed as a / b, where b is not zero. A ratio is an equation that equates two ratios. For example, if there is one boy and three girls (for every boy she has three girls), 3/4 are girls and 1/4 are boys.
(a) The ratio of green apples to all the apples in the basket is:
Green apples : Total apples = 9 : (9+5) = 9 : 14
So the ratio of green apples to all the apples in the basket is 9:14.
(b) The ratio of red apples to all apples in the basket is:
Red apples : Total apples = 5 : (9+5) = 5 : 14
So the ratio of red apples to all the apples in the basket is 5:14.
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can you solve this question?
f(x)=?
a=?
Using derivative of a function
f(x) = cosx and a = πWhat is the derivative of a function?The derivative of a function is its limit as the change in the independent variable tends to zero.
Now, since we have the [tex]\lim_{h \to 0}\frac{cos(\pi + h) - (- 1)}{h}[/tex].
We know that the definition of the derivative of a function f(x) is
[tex]f'(x) =\lim_{h \to 0}\frac{f(x + h) - f(x)}{h}[/tex]
Now, comparing both equations, we see that
f(x + h) = cos(x + h), f(x) = -1
Now, since f(x + h) = cos(x + h), we notice that f(x) must be a cosine function.
So, f(x) = cosx
Now, f(a) = -1
cosa = -1
a = cos⁻¹(-1)
= π
So, substituting this into the derivative equation, we have
[tex]f'(x) =\lim_{h \to 0}\frac{f(x + h) - f(x)}{h}[/tex]
[tex]f'(x) =\lim_{h \to 0}\frac{cos(x + h) - (-1)}{h}\\=\lim_{h \to 0}\frac{cos(x + h) - cos(x)}{h}\\=\lim_{h \to 0}\frac{cos(\pi + h) - cos(\pi )}{h}\\= -sin\pi \\= 0[/tex]
So,
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Find the value of the ratio: x : 16 = 9 : 24.
Answer: 18/27 or 2/3
Step-by-step explanation: trust me
Ryan’s grandparents bought him a new basketball. Ryan wants to know if the ball is the same size as the ball his basketball league uses. The volume of the ball is 295.6 cubic inches. What is the circumference of Ryan’s new basketball? Use 3.14 for pi
.
Thus, the circumference of Ryan’s new spherical basketball is found as: 52.752 in.
Explain about the circumference:The perimeter of a polygon, including a square or rectangle, is the distance around it (P). On the opposing hand, the circumference of a circle is the distance around it (C). As a result, the circular circumference is the length of a circle's edge in linear terms.
Given data:
Volume of ball = 295.6 cubic inches.As the ball is in the shape of sphere.
Let r be the radius of sphere:
Volume of sphere = 4/3 * π * r³
295.6 = 4/3 * 3.14 * r³
r³ = (295.6 * 3)/(4*3.14)
r³ = 70.60
r = 8.40 in
circumference = 2 * π * r
circumference = 2 * 3.14 * 8.40
circumference = 52.752 in
Thus, the circumference of Ryan’s new spherical basketball is found as: 52.752 in.
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PLS ANSWER PLS PLS I HAVE A TEST PLS the function d(t)=1/2 at x 2 can be used to estimate the distance that a dropped object falls into the t seconds. the constant a has a value of 4.8m/s x 2. how far, to the nearest tenth of a meter, does an acorn fall 2.25 secs. 2(2.2)=_____ meters
the acorn falls approximately 12.15 meters (to the nearest tenth of a meter) in 2.25 seconds.
what is gravity ?the natural force that makes things fall to the ground when you drop them.
The given function is:
d(t) = (1/2)a[tex]t^2[/tex]
where a = 4.8 m/[tex]s^2[/tex] is the acceleration due to gravity.
To find the distance an acorn falls in 2.25 seconds, t = 2.25 seconds
d(2.25) = (1/2)(4.8)[tex](2.25)^2[/tex]
= (1/2)(4.8)(5.0625)
= 12.15 meters (rounded to two decimal places)
Therefore, the acorn falls approximately 12.15 meters.
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