A hardware store office customers I coupon for $25 off. The regular price of a ladder is $250. If a customer uses the coupon what percent will the customer save.
Answer:
About 11%
Step-by-step explanation:
250-25=225
250/225=1.11 repeating
Carter shared his post with 10 friends, who each share with only 2 people each day. Carter shared his post with 10 friends, who each share with only 2 people each day.
write an exponential function to represent the spread of carters social media post.
The exponential function will be equal to y = 20ˣ.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Carter shared his post with 10 friends, who each share with only 2 people each day.
The exponential function will be written as,
y = abˣ
y = 10(2)ˣ
y = 20ˣ
Therefore, the exponential function will be equal to y = 20ˣ.
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Answer:
f(x) = 10(2)^x
Step-by-step explanation:
Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.
Write the following numbers in order of size.
Start with the smallest number.
Which of these options is true?:
Option A
Option B
Option C
Option D
Option E
Option F
After arrange in order of ascending we get Option D is true.
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;
The numbers are,
⇒ 0.27, 0.309, 0.3, 0.31
Now, We can arrange the number in ascending order as;
⇒ 0.27, 0.3, 0.309, 0.31
Hence, Option D is true.
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Check the divisibility of 4088 by the following number:a.2b.3c.4
Given:
Check the divisibility of 4088
Sol:
A number divided by 2 then:
\(\begin{gathered} =\frac{4088}{2} \\ \\ =2044 \end{gathered}\)Divided by 3 then:
\(\begin{gathered} =\frac{4088}{3} \\ \\ =1362.66 \end{gathered}\)Divided by 4 then:
\(\begin{gathered} =\frac{4088}{4} \\ \\ =1022 \end{gathered}\)2x - 5 > -9
solve inequality
Answer:
x>-2
Step-by-step explanation:
first you want to get rid of all of the numbers on the left so you can only be left with 2x>-4 then you decide both sides by 2x because you only want to be left with one x and once you divide you will be left with x>-2
A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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8x+152=224 Please help! (Show your work!)
Answer:
\(8x + 152 = 224 \\ 8x = 72 \\ x = 9\)
The ratio of the sum of two positive integers to their difference is 7:5. If the sum of the two numbers is at most 25, find all possible values for the pair of numbers.
Step-by-step explanation:
Ohk
that means that the sum of the two numbers are 25
so
to get the first number:
\( \frac{7}{5} \times 25 = 35\)
And to get the second number:
\(\frac{5}{7} \times 25 = \frac{125}{7} \)
R 0, -180(x, y) maps to the same point as R 0, 180(x, y).
O True
O False
Answer:
True.
Step-by-step explanation:
Whether you do a rotation 180 degrees clockwise( \(R__(-180,O)\)), or a rotation 180 degrees counterclockwise (\(R__(180,O)\)), the image will always end up in the coordinate diagonal from the pre-image.
Parents of children with developmental disorders can apply for federal funding for psychosocial rehabilitation. A government sociologist wants to know what percentage of applicants for this funding are in poverty. She obtains access to all their applications, groups the applications by state, and takes a simple random sample from each state's applications. Identify the population of interest to the sociologist.
a. Applicants for the federal funding who were in poverty
b. Applicants for the federal funding
c. Applicants who received the federal funding
d. Applicants whose applications were examined
Answer:
Applicants for the federal funding
Step-by-step explanation:
|x| =3 means that the distance between x and 0 is 3 / true or false
Answer:
True
Step-by-step explanation:
if |x| is 3 then x is either -3 or 3. Either way, the distance from 0 is 3.
Hole this helps! :)
income from operations of $231,000. In addition, it received interest income of $23,100 and received dividend income of $29,700 from another corporation. Finally, it paid $11,000 of interest income to its bondholders and paid $45,000 of dividends to its common stockholders. The firm's federal tax rate is 21%. What is the firm's federal income tax? Do not round intermediate calculations. Round your answer to the nearest dollar.
The firm's federal income tax is $57,168.
To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.
In this case, the firm's total income consists of income from operations, interest income, and dividend income.
Total income:
Income from operations = $231,000
Interest income = $23,100
Dividend income = $29,700
Total income = $231,000 + $23,100 + $29,700 = $283,800
Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:
Total expenses = Interest paid to bondholders = $11,000
Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800
Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:
Federal income tax = Taxable income * Federal tax rate
Federal income tax = $272,800 * 0.21 = $57,168
Therefore, the firm's federal income tax is $57,168.
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y = x^3 + 5x^2 + 3x x= -3
Answer:
9
Step-by-step explanation:
-3^3 +5*(3)^2 +3*-3
-27+5*9+(-9)
-27+45-9
=9
Answer:
Step-by-step explanation:
Wherever you see an x, put in -3
y=(-3)^3 + 5(-3)^2 + 3(-3)
y = - 27 + 5 * 9 + -9
y = -27 + 45 - 9
y = 9
1.
What is the common difference of the sequence 4, 11, 18, 25, 32?
9
7
8
14
Answer: 7
Step-by-step explanation: its correct, trust me
The graph of the linear function passes through points (2, 44) and (5, 80). What is the equation of the function?
Step-by-step explanation:
the slope-intercept form is in general
y = ax + b
a being the slope, b being the y-intercept (the y-value when x = 0).
the slope is the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another.
we got 2 points identified, so, let's use them.
(2, 44) and (5, 80)
x changes by +3 (from 2 to 5).
y changes by +36 (from 44 to 80).
the slope is +36/+3 = 12.
so, we got "a" for our equation. to get "b" we need to use the coordinates of one of the given points as x and y.
I usually use the one with the smaller numbers.
here : (2, 44).
44 = 12×2 + b = 24 + b
b = 44 - 24 = 20
our equation is
y = 12x + 20
Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
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1. Find the equation of the image of the circle x² + y2 + 16x-24y + 183 = 0 by rotated the line mirror 4x + 7y + 13 = 0. 2. The image of the circle (x - 3)² + (y-2)² = 1 in the line mirror ax + by = 19 is (x-1)³ + (y-16)2 = 1 then, find the values of (a, b). 3. Find the equation of a line passing through the origin and making an angle with the 4 line y-3x-5. 4. A parabola is drawn with its focus at (3,4) and vertex at the focus of the parabola y²-12x - 4y + 4 = 0. The n find equation of the parabola. 5. If the line ax + by + c = 0 touches the circle x² + y² - 2x = and is normal to the circle x² + y² + 2x - 4y + 1 = 0, then find the value of (a, b). 6. If the line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x. -3 7.1² 14 231= [] then find the matrix A 8. Find the equation of the ellipse having its center at the point (2,-3), one and one vertex at (4, -3). 3 9. Find the value of x if-1 0 10. Solve the linear system using Cramer's rule a) 2 1 2 4 (6x - 4y = -12 8x - 3y = -2 X = 16 -21 3x + 2y = z = 5 b) x-y+3z = -15 (2x + y +7z = -28 one focus at (3,-3) 11. Find the value of k for which the following system of linear equations has infinite solutions: x + (k+1)y = 5 ((k+1)x + 9y = 8k - 1
Answer:
-72x - 53y + 287 = 0.
Step-by-step explanation:
To find the equation of the image of the circle, we need to reflect each point on the circle in the given line mirror.
The line mirror equation is given as 4x + 7y + 13 = 0.
The reflection of a point (x, y) in the line mirror can be found using the formula:
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
where A, B, and C are the coefficients of the line mirror equation.
For the given line mirror equation 4x + 7y + 13 = 0, we have A = 4, B = 7, and C = 13.
Now, let's find the equations of the image of the circle.
The original circle equation is x² + y² + 16x - 24y + 183 = 0.
Using the reflection formulas, we substitute the values of x and y in the circle equation to find x' and y':
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
= (x - 2(4)y - 2(7)(4x + 7y + 13)) / (4^2 + 7^2)
= (x - 8y - 8(4x + 7y + 13)) / 65
= (x - 8y - 32x - 56y - 104) / 65
= (-31x - 64y - 104) / 65
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
= (y - 2(7)x + 2(4)(Ax + By + C)) / (4^2 + 7^2)
= (y - 14x + 8(Ax + By + C)) / 65
= (y - 14x + 8(4x + 7y + 13)) / 65
= (57x + 35y + 104) / 65
Therefore, the equation of the image of the circle is:
(-31x - 64y - 104) / 65 + (-57x + 35y + 104) / 65 + 16x - 24y + 183 = 0
Simplifying the equation, we get:
-31x - 64y - 57x + 35y + 16x - 24y + 183 + 104 = 0
-72x - 53y + 287 = 0
So, the equation of the image of the circle is -72x - 53y + 287 = 0.
Help pls!!ty!!:))):):
Answer:
Step-by-step explanation:
y = 85x+90
3) 85*3+90 (rule)
y= 85*3 = 255 + 90 = 345 (output)
4) 85*4+90 (rule)
y = 85*4= 340 + 90 = 430 (output)
Translate and solve: 5 less than m is at most 70.
Write your solution in interval notation
The interval notation for the inequality statement "5 less than m is at most 70" is (-∞, 75].
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
The statement given is - 5 less than m is at most 70.
The given sentence can be translated into a mathematical inequality as -
m - 5 ≤ 70
To solve for m, we can add 5 to both sides of the inequality -
m - 5 + 5 ≤ 70 + 5
m ≤ 75
Therefore, m is less than or equal to 75.
In interval notation, we can represent this solution as -
(-∞, 75]
Therefore, the interval value is (-∞, 75].
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What is the value of this expression when h= -2 and g = 5?
242 +9
Answer:
B
Step-by-step explanation:
the g is not in the root, solve everything in the root separately and then add g to it
Someone help pls :((((
9514 1404 393
Answer:
y +1 = -3(x -3)
Step-by-step explanation:
The given point is (3, -1), and the given slope is -3. The form suggests you want the point-slope form of the equation for the line:
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Using the given values, the equation is ...
y -(-1) = -3(x -3)
y +1 = -3(x -3)
Help please and thank you I will give extra points thanks
Answer:
21 square feet
Step-by-step explanation:
In this answer, I have attached an image.
I have split the figure into two parts, A and B.
Area of A: \(6ft \times 2ft= 12\ square\ feet\)
Area of B: \((5ft-2ft)\times 3ft=3ft\times 3ft = 9\ square\ feet\)
Total Area: \(12\ square\ feet+9\ square\ feet=21\ square\ feet\)
help me asap!!!!!!!!
Answer:
the last option
Step-by-step explanation:
–5(–2) =
please help :) :D
Answer:
10
Step-by-step explanation:
-5 * -2 = 10
cuz - * - = +
and 5 * 2 = 10
hence 10
Answer:
-7
Step-by-step explanation:
-5(-2)
-5-2
-7
..........
Determinewhether the two lines areparallel, perpendicular, neither.X-3=6Y = 3x +4
we have the lines
x-3=6
x=6+3
x=9
this is a vertical line (parallel to the y-axis)
The slope is undefined
and
y=3x+4
The slope is m=3
Compare their slopes
1) Their slopes are not equal -----> are not parallel lines
2) Their slopes are not negative reciprocal -----> are not perpendicular lines
therefore
The answer is neitherJackson takes a marker and draws an arrow at the top of his yo-yo, pointing it toward the string when it is all wound up. The location of the arrow on the yo-yo can be represented by a cosine function.
The function that represents the location of the arrow is f(x)=2cos(8πx)+2, where x represents time in seconds, and f(x) represents the vertical distance in inches that the arrow is from the lowest point on the yo-yo.
How many times does the yo-yo rotate in 1 second?
4 times
8π times
16 times
8 times
Please explain how u got ur answer
The number of times the yo-yo rotate in 1 second is 8π times. Option B
What is a function?A function can be defined as defined as an expression, rule or law that explains the relationship between two variables.
These variables are;
The dependent variableThe independent variableFrom the information given, we have that;
f(x) = 2cos (8πx) + 2
Where;
f(x) represents the vertical distance in inches that the arrow is from the lowest point on the yo-yo x represents time in secondsIf the value of x is 1 second, then
f(x) = 2cos(8π) + 2
Hence, the value is 8π times
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Enter the number that belongs in the green box
The angle measure that belongs in the green box is given as follows:
70.67º.
What is the law of sines?We consider a triangle with side lengths and angles related as follows, as is the case for this problem:
Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.Then the lengths and the sines of the angles are related as follows:
sin(A)/a = sin(B)/b = sin(C)/c.
The relation for this problem is given as follows:
sin(x)/12 = sin(76º)/12.34
Applying cross multiplication, the missing angle measure is given as follows:
sin(x) = 12 x sine of 76 degrees/12.34
sin(x) = 0.9436.
x = arcsin(0.9436)
x = 70.67º.
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The gate code at your apartment complex is three numerical digits followed by the "#" sign. If each code
contains non-repeating digits, how many possible gate codes does your apartment complex have
If each code contains non-repeating digits there would be 720 possible gate codes.
What is a combination in mathematics?
Combination in mathematics is a way of selecting items from a set, without regard to the order in which they were chosen.
In your example, there are 10 possible digits (0-9) that can be used for each of the three numerical digits, but since the digits cannot repeat, the total number of possible gate codes is 1098 = 720. Since the "#" sign is not included in this calculation, the final answer is 720 possible gate codes.
Hence, If each code contains non-repeating digits there would be 720 possible gate codes.
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The average car sold from Dealership A is $25,700. If the sales person receives 1.5% commission on price of car, how much commission is made on average per car sold?
Answer:
$385.50
Step-by-step explanation:
The amount of commission is found by multiplying the commission rate by the value of the sale.
1.5% × $25,700 = $385.50
A commission of $385.50 is made on an average car sold.
quentin is filling a glass that holds 1 3/4 cups of water. he is using 1/4 cup measuring cup. how many times will he have to fill the smaller measuring cup to equal 1 3/4 cups?
Answer: 7 lol
Step-by-step explanation:
The number of times he will have to fill the smaller measuring cup to equal 1 3/4 cups is 7 times.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Glass holds = 1(3/4) cups of water
One cup holds = 1/4 cup of water
Now,
The number of 1/4 cups needed to fill the 1(3/4) cups of water glass.
1/4 x C = 1(3/4)
C/4 = 7/4
C = 7/4 x 4
C = 7
Thus,
The number of times the smaller cup fills the glass is 7.
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