Using proportions, it is found that your taxable income for this year is given by:
d. $37,735
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that $6,414.95 is 17% of his taxable income, hence it is given by:
T = 6414.95/0.17 = $37,735.
Which means that option D is correct.
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Answer:D
Step-by-step explanation:
bc its D
The richter scale measures the magnitude, m, of an earthquake as a function of its intensity, i, and the intensity of a reference earthquake, . which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake? a. b. c. d.
The magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
What is magnitude?magnitude can be regarded as the size or the weight of destruction that is been experienced as a result of the earthquake.
The magnitude as regards Richter scale is
[㏒(I/I₀]
But we were given l as 10000I₀.
Then if we substitute we have, [㏒(10000I₀./I₀)]
If we simplify we have:
[㏒10000]
Therefore, magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
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A tank is 1/2 filled with water. some of the water is then poured into 8 small containers each with a capacity of 27 cubic centimeters. the tank is now 1.4 full. what is the capacity of the tank.
The capacity of the tank is 240 cm³.
What is capacity?Capacity means the volume of a solid shape.
To calculate the capacity of the tank, we use the formula below.
Note: When the water from the 8 small containers is poured into the tank that was initially half full, becomes 1.4 full that means the water from the 8 small containers fills the tank 0.9
Formula:
V = (8×27)/0.9............... Equation 1Where:
V = Volume or capacity of the tankSolve for V
V = 240 cm³.Hence, the capacity of the tank is 240 cm³.
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estimate the perimeter and the area of the shaded figure to the nearest whole number
Answer:
See below ~
Step-by-step explanation:
Perimeter
2(6 + 8)2(14)28 unitsArea
2(4 x 2) + 2(8)4(8)32 square unitswhats the answer for this qusten
Answer:
The speed i total is 750 meters per second
Step-by-step explanation:
9000/12 = 750
7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0
Answer:
x = 2, - 4
Step-by-step explanation:
The factors of 8 are:
1, 8
2, 4
You can combine 2 and 4 to create 2.
( x - 2 ) ( x + 4 ) = 0
0 can either be x - 2 or x + 4
Therefore, x = 2 or - 4
Hey there!
Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0
Answer :x = -4 or x = 2 ✅
Explanation :Quadratic formula : ax² + bx + c = 0 where a ≠ 0
The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :
If b² - 4ac > 0 , There are 2 real-number solutionsIf b² - 4ac = 0 , There is 1 real-number solution.If b² - 4ac < 0 , There is no real-number solution.The roots of the equation are determined by the following calculation:
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
Here, we have :
a = 1b = 2c = -81) Calculate the discriminant :
b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36
b² - 4ac = 36 > 0 ; The equation admits two real-number solutions
2) Calculate the roots of the equation:
▪️ (1)
[tex]x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}[/tex]
▪️ (2)
[tex]x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}[/tex]
>> Therefore, your answers are x = -4 or x = 2.
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9. Use the Desmos graphing calculator to find slope and y-intercept for the least-squares
regression line for the dataset in the table:
xy
31
45
8 11
10 21
m= 2.55, b= 6.435
m=1.477, b=1.477
m= 1.698, b-0
m=2.55, 6-6.435
Answer:
D) m=2.55, b=-6.435
Step-by-step explanation:
See attached file ("a" represents the slope and "b" represents the y-intercept).
What is 6 3/4 % of $7,600.00
A. 513
B. 520
C. 456
D. 479.25
E. 550
Answer:
A 513
Step-by-step explanation: is your answer
Hope this helps :)
a song has 12 beat in 5 second . how many beats are in 30 seconds
someone help me find r please!
Answer:
4
Step-by-step explanation:
Round this number to the nearest one.
87.6
ANWER:
rounded o the nearesr tens is 88.6
Answer:
88
Step-by-step explanation:
Because 6 is greater than 5 it will rounded off and 87.6 = 88
The sum of two numbers is 40 and the difference is 8. What are the numbers?
Answer:
24 and 16.
Step-by-step explanation:
They both are in between the sum of the two numbers.
A car with a cost price of $5200 is
sold at a profit of 15%. Calculate the
selling price
Answer:
We are given the initial price of a car and we are also told that the car sold for a 15% profit which means that the price that the car was sold for is 15% more than it's initial price. This is just a simple multiplication problem which we multiply the initial price by the total percentage plus 0.15
[tex]Sold\ Price = Initial\ Price *(Total\ Percentage+Profit\ Percentage)[/tex]
[tex]Sold\ Price = \$5200*(1+0.15)[/tex]
[tex]Sold\ Price = \$5200*(1.15)[/tex]
[tex]Sold\ Price = \$5980[/tex]
Therefore, our final answer is that the selling price was $5980
Hope this helps!
Describe how to identify the lines of symmetry in the shape below.
Which of the following expressions is true?
2^4•2^4>2^7
3^2•3^6=3^7
4^3•4^5<4^8
5^2•5^3=5^6
Answer:
2^4•2^4>2^7
Step-by-step explanation:
Hope it helps you in your learning process.
help asap please!! <3
Answer:
3/2 or 1.5
Step-by-step explanation:
Finding the gradient
gradient (m) = y₂ - y₁ / x₂ - x₁m = 5 + 1 / 4 - 0m = 6/4m = 3/2 or 1.5Answer:
gradient = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 1 ) and (x₂, y₂ ) = (4, 5 )
m = [tex]\frac{5-(-1)}{4-0}[/tex] = [tex]\frac{5+1}{4}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
The expression above can also be written in the form a=, b=,c=. 3 6/5
The expression above can also be written in the form .
For this expression, a =
, b =
, and c =
.
The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
[tex]\rm = 3^{\dfrac{6}{5}}[/tex]
We can write it as:
[tex]\rm = \sqrt[5]{3^6}[/tex]
The value of a = 3,
The value of b = 6, and
The value of c = 5
Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶
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Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick two red pencils?
6/25
1/3
9/25
2/5
The probability that Dalia will pick two red pencils without replacement is 1/3.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability of picking two red pencils = 6/10 x 5/9 = 1/3
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Using the equation, y=5x²−17x −12, determine the roots.
A) (-4, 0) and (0.6, 0)
b) (-4, 0) and (-0.6, 0)
c) (4, 0) and (-0.6, 0)
d) (4, 0) and (0.6, 0)
Answer:
c
Step-by-step explanation:
y = 5x² - 17x - 12
to find the roots let y = 0 , that is
5x² - 17x - 12 = 0
Factorising the quadratic
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 5 × - 12 = - 60 and sum = - 17
the factors are - 20 and + 3
use these factors to split the x- term
5x² - 20x + 3x - 12 = 0 ( factor first/second and third/fourth terms )
5x(x - 4) + 3(x - 4) = 0 ← factor out (x - 4) from each term
(x - 4)(5x + 3) = 0
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - [tex]\frac{3}{5}[/tex] = - 0.6
roots are (4, 0 ) and (- 0.6, 0 )
ladder reaches a window 18 ft high,
and makes a 64 angle with the
ground. How long is the ladder?
Round your ancun
Using trigonometric ratio, the length of the ladder that reached the window is 20.03 feet
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let l represent the length of the ladder, using trigonometric ratio:
sin(64) = 18/l
l = 20.03 feet
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Please help me with this. Brainliest for right answer
Answer:
40
Step-by-step explanation:
Write the verbal sentence as an algebraic equation.
The product of a three and a number plus five is 20.
Step-by-step explanation:
product=× three=3 a number is unknown =x plus=+ five=5 is=equals to 20
3×x +5=20
3x+5=20
Subtract 5 from both sides
3x+5-5=20-5
3x=15
3x/3=15/3
x=5
Scott sells beaded necklaces. Each large necklace sells for $6.20 and each small necklace sells for $4.70. How much will he earn from selling 1 large necklace and 3 small necklaces?
Answer:
$20.13
Step-by-step explanation:
$4.70x3=$14.10+$6.20 = $20.13
Select the correct answer. which expression is equivalent to the given expression? assume the denominator does not equal zero. a. b. c. d.
The expression that is equivalent to the expression, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is the expression, [tex]64m^9n^3[/tex].
What are Equivalent Expressions?If two expressions are equivalent to each other, it means the value of each of them are the same when simplified or evaluated in their simplest form.
Given the expression,
[tex](\frac{4m^5n^2}{m^2n} )^3[/tex]
Evaluate the expression in its simplest form
[tex](\frac{4m^5n^2}{m^2n} )^3 = (4m^3n^1)^3[/tex]
Multiply the exponents in the bracket by the one outside, then find the cube of 4.
[tex]64m^9n^3[/tex]
Therefore, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is equivalent to [tex]64m^9n^3[/tex].
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The midpoint of overline AB is M(-4, 0)M If the coordinates of A are (-6, 6) what are the coordinates of B?
Answer:
(-2, -6)
Step-by-step explanation:
Equating A and B to the Midpoint (M) :
(-4, 0) = (-6 + x / 2, 6 + y / 2)Equations formed :
-6 + x / 2 = -4-6 + x = -8x = -22. 6 + y / 2 = 0
6 + y = 0y = -6Midpoint : (x , y)
(-2, -6)7. Find the L.C.M of 24,15 and 16
Answer:
240
Step-by-step explanation:
Step 1 : Prime factorize the given terms.
24 = 3 x 8 = 3 x 2³15 = 3 x 516 = 4 x 4 = 2⁴Step 2 : Out of the factors of all terms, take the factors with the highest power of different bases and multiply.
⇒ LCM (24, 15, 16) = 2⁴ x 3 x 5
⇒ LCM = 16 x 15
⇒ LCM = 240
Please help! Giving brainliest!!!!
You deposit $1200 in an account that earns simple interest. After 42 months, the account earns $96.60 in interest. What is the annual interest rate
to the nearest tenth of a percent?
A. 0.8%
O B.2.3%
C.35.0%
D. 1.0%
Answer:
interest rate= interest earned multiply 100% then divide by the amount and time
R=I/Pt
I=96.60$, P=1200$, t=42/12=3.5
R= 96.60×100%/1200×3.5
=2.3%
What is the median?
767
-765
767
769
769
-770
-767
768
sumbit
Answer:
767
Step-by-step explanation:
A farmer has hens, this hen composes 2500 eggs every month. A farmer has 2500 eggs a month, 25% of these eggs are sold in restaurant. How much is the total number of eggs sold in the restaurant, if 35 eggs are sold in the restaurant.
Answer:
625 eggs are sold in a restaurant
2500-100%
x- 25%
62500=100x
x=625 eggs
Answer:
21875
Step-by-step explanation:
25% x 35 x 2500
= 0.25 x 35 x 2500
=21875
I need help with this question
Answer:A
Step-by-step explanation: because there is an association with the child’s hight and age so the answer is A ( plus I have did this before and got it wrong and the actual Answer was A when I picked B
Answer: A
Step-by-step explanation:
A baby is born weighing 120 ounces. At 1 year, the same baby weighs 14 pounds. How many pounds did the bay gain?
