Answer:
1
Step-by-step explanation:
Set x - 1 equal to zero
x - 1 = 0
x = 1
Plz ans ASAP! Tysm! Pzlllzzz!
Answer:
Step-by-step explanation:
Number of class intervals = 7
Class width = 5
Class intervals (heights) Frequency (Number of boys)
130 - 135 3
136 - 140 5
141 - 145 3
146 - 150 5
151 - 155 2
156 - 160 1
161 - 165 1
Therefore, frequency table given above will represent the distribution of the heights and number of students.
how do I get the answer?
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y = 5x - 1
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 )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 9)
m = \(\frac{9-4}{2-1}\) = \(\frac{5}{1}\) = 5 , then
y = 5x + c ← is the partial equation
To find c use any ordered pair from the table and substitute into the partial equation.
Using (3, 14 ) , then
14 = 15 + c ⇒ c = 14 - 15 = - 1
y = 5x - 1 ← equation of line
A savings account pays an annual simple interest rate of 1.5%. What would be the balance in your account after 5 years?
The balance in the account after 5 years is $10750.
How to calculate the interest?The following can be deduced based on the information given:
Principal = $10000
Rate = 1.5%
Time = 5 years..
Interest = (Principal × Rate × Time) / 100
= (10000 × 1.5 × 5) / 100
= $750
The balance will be:
= Principal + Interest
= $10000 + $750
= $10750
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A savings account of $10000 pays an annual simple interest rate of 1.5%. What would be the balance in your account after 5 years?
The shaded area of a circle is 25 cm squared. if the diameter of the circle is 10cm, determine what percentage of the circle is shaded
If the shaded area of a circle is 25 cm squared. if the diameter of the circle is 10cm, the percentage of the circle is shaded is: 31.83% .
What percentage of the circle is shaded?We can start by finding the area of the entire circle. The formula for the area of a circle is:
A = πr^2
where A is the area and r is the radius. Since the diameter of the circle is 10 cm, the radius is half of that, or 5 cm. Therefore, the area of the entire circle is:
A = π(5 cm)^2 = 25π cm^2
Next, we can find what percentage of the circle is shaded by dividing the shaded area by the total area of the circle and multiplying by 100:
Percentage shaded = (shaded area / total area) x 100
Percentage shaded = (25 cm^2 / 25π cm^2) x 100
Percentage shaded = 100 / π ≈ 31.83%
Therefore, approximately 31.83% of the circle is shaded.
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On a coordinate plane, 2 triangles are shown. triangle 1 has points at a (negative 3, 4), b (negative 2, 1), c (negative 4, 1). triangle 2 has points at a prime (4, negative 2), b prime (3, negative 5), c prime (5, negative 5). which rule represents the translation from the pre-image, δabc, to the image, δa'b'c'? (x, y) → (x 7, y 6) (x, y) → (x 7, y – 6) (x, y) → (x – 6, y 7) (x, y) → (x 6, y 7)
The rule which represents the translation from the pre-image (Δabc), to the image (Δa'b'c') is (x, y) → (y, x).
What is a triangle?A triangle simply refers to a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
Based on this triangle, we can deduce the following points:
The coordinates of a are given by (-3, 4).The coordinates of a' are given by (4, -2).By critically observing the triangle, we can also deduce that points were swapped as (x, y) → (y, x) and this is a reflection across line y = x.
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Answer:
B
Step-by-step explanation:
4. Sydney is painting a rectangular toy box for her little brother. She will paint all 4 sides and the top
(she will NOT paint the bottom). If the toy box is 20 inches tall. 12 inches wide, and 25 inches long.
how many square inches will she need to paint?
LE
Answer: 1,780
Step-by-step explanation:
What is 15/20 simplest form
Answer:
the simplest form of 15/20 is 3/4
What is the answer to this question
Answer:
m1 = 33 degrees ; m3 = 33 degrees
Step-by-step explanation:
m8 = m4 = 147 degrees
m4 + m1 = 180
147 + m1 = 180
m1 = 180 - 147
m1 = 33 degrees
m1 = m3 (vertical angles)
What is the equation of the line that passes through the point (8,3) and has a slope
of 1/4
Answer:
y= 1/4x - 2
Step-by-step explanation:
y-y1=m(x-x1)
y-3=(1/4)(x-(-4))
y-3=(1/4x)+1
y=1/4x+1-3
y=1/4x-2
The original quantity is 10 and the new quantity is 13. What is the percent change?
3 is 13 more than 10, and 3 is 30% of 10, so 30% im pretty sure
Answer:
130%
Step-by-step explanation:
It's 130% because 10*130% is 13.
Kedwin has $150.00 and wants to buy a new pair of headphones that cost $175.00 plus 10% shipping. He decides to wait until the headphones go on sale. What is the smallest sale rate that he needs to be able to afford them? 10% 20% 25% 30%
Answer:
25%
Step-by-step explanation:
Amount Kedwin has for the purchase = $150
Total cost of purchase :
Item cost =. $175
Shipping cost = 0.1 * 175 = 17.5
Total cost =. $(175 + 17.5) = $192.5
Smallest sale rate in other to afford the item:
At 10%
(1 - 0.1) * 192.5 = $173.25
At 20%
(1 - 0.2) * 192.5 = $154
At 25%
(1 - 0.25) * 192.5 = $144.375
Hence, smallest sale rate needwd is 25%
Answer:
25%
Step-by-step explanation:
got it right o edge2021
GIVING BRAINLIEST ONCE AGAIN
Answer:
45
Step-by-step explanation:
divide 25 by 5 to see how they got that, which is 5. then multiply 9 by 5 bc you have to do the same thing, which is 45.
Answer:
5:9 = 25:45
Step-by-step explanation:
Solve the following
4x-1/2=x+7
Answer: x= 5/2
Step-by-step explanation::)
The table shows the total distance that Myra runs over different time periods.
A 2-column table with 5 rows titled Time and Distance Ran by Myra. The first column is labeled Time (minutes) with entries 0, 2, 4, 6, 8. The second column is labeled Distance (miles) with entries 0.0, 0.4, 0.8, 1.2, 1.6.
Distance is increasing with a speed of 0.2 Miles/Min
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Time in Minutes Distance in Miles
0 0.0
2 0.4
4 0.8
6 1.2
8 1.6
Here, Myra’s distance is increasing as time increase with a constant Speed.
Now, In every 2 mins distance traveled = 0.4 Miles
Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min
Thus, Distance is increasing with a speed of 0.2 Miles/Min.
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2+2= what is the answer for it? Hint it's not a 2
The answer for 2 + 2 in the addition is determined as 4.
What is addition operation?Addition is a mathematical operation that involves combining two or more quantities or values to find their total or sum.
Addition is one of the four basic arithmetic operations, along with subtraction, multiplication, and division.
In addition operation, the two or more numbers are often added to produce result called the sum.
For example, in the equation; 2 + 2 = 4.
2 and 2 are the addends, and 4 is the sum.
We can also preform addition on fractions. decimas, percentages, etc.
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PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
Answer:
33cm^2
Step-by-step explanation:
Add the areas of the individual shapes so one rectangle and a square.
4*2 + 5*5 > 8 + 25 = 33
Answer:
31 cm²
Step-by-step explanation:
The area of the large figure is the sum of the areas of the smaller rectangles, the 4 cm x 2 cm one and the 5 cm x 5 cm one.
Area of the 4 x 2: 4 x 2 = 8 cm²
Area of the 5 x 5: 5 x 5 = 25 cm²
Sum of the two: 8 cm² + 25 cm² = 31 cm²
Function g is defined as g(x) = 2f(x – 4) + 3. What is the domain of function g?
OA. {xl -♾ < x <♾}
OB. {x|0 < x <♾}
OC. {x] -4 < x < ♾}
OD. {x|4 < x <♾}
Answer:
OB
because domain is all X values that satisfy graph. And on graph X has all +ve values going to infinity.
When the Function g is defined as g(x) = 2f(x – 4) + 3 so the domain of the function g is OB. {x|0 < x <♾}.
Calculation of the domain of the function g:Since the Function g is defined as g(x) = 2f(x – 4) + 3
So here OB should be considered as the domain of the all x values should satisfied the graph. Also, on graph X it contains the positive values that goes to infinity.
Hence, When the Function g is defined as g(x) = 2f(x – 4) + 3 so the domain of the function g is OB. {x|0 < x <♾}.
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Help me please
A y=9
B x=-6
C y= 8x +2
Answer:
y = 8x +2 that's the correct answer
What is the answer I need help
Answer:
3c+ (25x)/(2) + 2
PLEASEEEEEEE I NEED THE NOWWWWWWWWW
Which of the following represents the equation for an exponential function?
y=x^(ab)
y = a(b^x)
y = a^x(b)
y = a^x
The equation of an exponential function is y = a(b^x)
What is an exponential function?An exponential function is a mathematical function that has a constant base raised to a variable exponent. Exponential functions are used to model processes that exhibit exponential growth or decay, such as population growth, radioactive decay, or the spread of infectious diseases.
The general form of an exponential function is:
f(x) = ab^x
where a is the initial value, b is the base, and x is the variable exponent. If the base is greater than 1, the function will exhibit exponential growth, while if the base is between 0 and 1, the function will exhibit exponential decay.
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What is pie's value in math
Answer:
3.14
Step-by-step explanation:
literally that
A) Find the inductance of a solenoid of length 4 cm with 400 cotle. Take the area of each loop to be 3 cm^2. Thko the solenoid to be air filled for which μ_r =1. B) If the current flowing in the solenoid of part A) is given by I=(0.4 A) coe ( 2π60/s t),
find the witage acroms the inductor as a function of time.
The length of the solenoid is 4 cm, the number of coils is 400, and the area of each loop is 3 cm^2. The area per unit length of the solenoid is A/l = 3/4 = 0.75 cm^2/cm.
The inductance of a solenoid of length 4 cm with 400 coils is given by the formula L = μ0n^2A/l, where n is the number of turns per unit length of the solenoid, A is the area of each loop, l is the length of the solenoid, and μ0 is the permeability of free space, which is equal to \(4π × 10^-7 T·m/A.\)
The number of turns per unit length of the solenoid is n = N/l = 400/4 = 100 turns/cm.
So, the inductance of the solenoid is
\(L = μ0n^2A/l = 4π × 10^-7 × 100^2 × 0.75 × 10^-4/4 = 2.355 × 10^-5 H.\)
The current flowing in the solenoid is given by I = (0.4 A) cos (2π60t/s). The witage across the inductor is given by the formula V = L(dI/dt). So, differentiating I with respect to t, we get
\(dI/dt = - 0.4 A × 2π60 sin (2π60t/s) = - 4.776π sin (2π60t/s)\).
\(V = L(dI/dt) = - 2.355 × 10^-5 × 4.776π sin (2π60t/s) = - 0.283 sin (2π60t/s) V.\)
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function f gives the distance of a dog from a post, in feet, as a function of time in seconds, since its owner left. Find the value of f(20) and of f(140)
The value of f(20) is 3 feet , and the value of f(140) is 3.5 feet .
In the question ,
the graph represents a function which gives the distance of a dog from a post (in feet ) ,
to find, f(20) which means the distance of the dog from the post after 20sec .
As we can see from the graph that at t=20 sec the distance from post (in feet ) is 3feet .
which means f(20) = 3feet .
Also from the graph we see that at t=140 sec the distance from post (in feet ) is 3.5 feet .
which means f(140) = 3.5 feet .
Therefore , the value of f(20) is 3 feet , and the value of f(140) is 3.5 feet .
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A train arrived at the station. If you count cars starting from the first one, the dining car is th 7th in the row. If you count cars starting from the last one, then the dining car is the 8th in a row. How many cars are there in this train?
Answer:
15
Step-by-step explanation:
from the first then it is 0+7=7
and from the last it is 0+8=8
then the number of cars available in the station is 8+7=15
Please prove the following two problems.
Let f : R S be a homomorphism of rings. I and ideal of R, and J an ideal of S.
(a) f-1(J) is an ideal in R that contains the kernel of f.
(b) If f is an epimorphism them f(I) is an ideal in S. If f is not surjective, f(I) need not be an ideal in S.
a) To prove this, it needs to satisfies the Closure under addition, Closure under multiplication by elements of R and Contains the kernel of f properties. b) To prove this, it needs to satisfies the Closure under addition, Closure under multiplication by elements of S and Contains 0.
(a) Proof that \(f^{-1}\) (J) is an ideal in R containing the kernel of f:
To show that \(f^{-1}\) (J) is an ideal in R, we need to demonstrate that it satisfies the following properties:
Closure under addition,
Let a, b be elements in \(f^{-1}\) (J) and let r be any element in R. We have f(a), f(b) in J since J is an ideal of S. Since f is a homomorphism of rings, f(a + b) = f(a) + f(b) is in J. Therefore, a + b is in \(f^{-1}\) (J), showing closure under addition.
Closure under multiplication by elements of R,
Let a be an element in \(f^{-1}\) (J) and let r be any element in R. We have f(a) in J since J is an ideal of S. Since f is a homomorphism of rings, f(ra) = rf(a) is in J. Therefore, ra is in \(f^{-1}\) (J), showing closure under multiplication by elements of R.
Contains the kernel of f,
Let x be an element in the kernel of f, i.e., f(x) = 0 in S. Since J is an ideal of S, 0 is in J. Therefore, x is in \(f^{-1}\) (J), showing that \(f^{-1}\) (J) contains the kernel of f.
Therefore, \(f^{-1}\) (J) is an ideal in R that contains the kernel of f.
(b) Proof that if f is an epimorphism, then f(I) is an ideal in S:
To show that f(I) is an ideal in S, we need to demonstrate that it satisfies the following properties:
Closure under addition,
Let a, b be elements in f(I), and let s be any element in S. Since f is surjective, there exist elements x, y in I such that f(x) = a and f(y) = b. Therefore, f(x + y) = f(x) + f(y) = a + b is in f(I), showing closure under addition.
Closure under multiplication by elements of S,
Let a be an element in f(I), and let s be any element in S. Since f is surjective, there exists an element x in I such that f(x) = a. Therefore, f(sx) = sf(x) = sa is in f(I), showing closure under multiplication by elements of S.
Contains 0,
Since f is a homomorphism of rings, f(0) = 0 in S. Therefore, 0 is in f(I).
Therefore, if f is an epimorphism, f(I) satisfies the properties of an ideal in S.
If f is not surjective, f(I) need not be an ideal in S. This is because in this case, there may exist elements in S that are not in the image of f, and therefore f(I) may not satisfy the closure properties required for an ideal.
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Perform the indicated operation.
(-3)(0)(-6)(-4)
Answer:
0
Step-by-step explanation:
Given the following equation:
\((-3)(0)(-6)(-4)\)
The indicated operation for this equation is multiplication. When they're two parentheses around two numbers with no operation symbol in-between the two then we know to multiply.
\((-3\times0)\times(-6\times-4)\)
\(-3\times0=0\)
\(-6\times-4=-24\)
\(0\times-24=0\)
\(=0\)
Hope this helps.
A student lives 3 miles from the library . He is riding his bike to the library . The distance he has remaining y is a function of how long he has been riding his bike
Would the answer be 6? or 9?
3. The decimal expansion of 13/625 will terminate
after how many places of decimal?
(a) 1
(b) 2
(c) 3
(d) 4
The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.
The given fraction is 13/625.
Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Here, the decimal expansion is 13/625 = 0.0208
So, the number of places of decimal are 4.
Therefore, the correct answer is option D.
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Toby buys a new MP3 player for the price of $125.If the MP3 player was on sale for 30%, what's the discount? What is the sale price?