Answer:
$497.28
Step-by-step explanation:
First, you need to find 16% of 592. To do this, turn 16% into a decimal by dividing by 100:
16/100 = 0.16
Then, multiply 0.16 by 592, to get 94.72.
Then, subtract this number from 592:
592 - 94.72 = 497.28
A tangent PQ at a point P of a circle of radius. 5cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :
A)12 cm
B) 13 cm
C) 8.5 cm
D) √119 cm
Answer :
[tex]\boxed{D) \sqrt{119} \: cm}[/tex]
Solution :
In the above figure, the line that is drawn from the centre of the given circle to the targent PQ is perpendicular to PQ.
And So, OP ⊥ PQ
Using Pythagoras theorem in triangle ΔOPQ we get ,
[tex]\Longrightarrow\: OQ^2 = OP^2 + PQ^2[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: (12)^2 = 5^2+PQ^2[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: PQ^2 = 144-25[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: PQ^2 = 119[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: PQ = \sqrt{119} [/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
So, option D) √119 cm is the length of PQ.
What is the common difference between successive terms in the sequence? 2, 8, 14, 20, 26,. –6 –4 4 6.
Answer:
The common difference is the difference between any two consecutive terms in an arithmetic sequence.
The formula which is used to find the common difference in AP is
d = an - an-1
Here the common difference is
d = a2 - a1 = 8 - 2 = 6
d = a3 - a2 = 14 - 8 = 6
d = a4 - a3 = 20 - 14 = 6
d = a5 - a4 = 26 - 20 = 6
2, 8, 14, 20, 26 … = 2, (2 + 6), (8 + 6), (14 + 6), (20+ 6) …
Therefore, the common difference is 6.
Step-by-step explanation:
A marketing executive earns an annual salary of $78,300, and she contributes $6,500 per year to her 401(k) plan. If she has a required deduction for income taxes (federal, state, and local combined) of 27% of pretax income, how much is withheld in income taxes per year?
Answer:
With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:78,300 - 6,500 = 71,800 (this is your new taxable value)71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.Your answer is A.
Answer:
Step-by-step explanation:
With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:
78,300 - 6,500 = 71,800 (this is your new taxable value)
71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.
My friends and I are buying a total of 50 Howdy
cupcakes. I'd like to order 20% of the total.
Answer: 10 Howdy cupcakes
Step-by-step explanation:
A percent divided by 100 becomes a decimal.
[tex]20\%\; / \;100 = 0.2[/tex]
Now, we will multiply the total by 0.2 to find 20%.
[tex]50 * 0.2 = 10[/tex]
You will be ordering 10 cupcakes.
What is 8.92 cm² Converted To Meters?
[tex]8.92 ~ \text{cm}^2\\\\=8.92 \times \left( 1 ~ \text{cm} \right)^2\\\\=8.92 \times \left(10^{-2}~ \text{m} \right)^2~~~~~~;\left[1~ \text{cm} = \dfrac{1}{100}~ \text m} = 10^{-2}~ \text{ m} \right]\\\\=8.92 \times 10^{-4}~ \text{m}^2\\\\=0.000892~ \text{m}^2[/tex]
A taxi charges a flat rate of $2.00, plus an additional $3 per mile. If Erica has at most $20 to spend on the cab ride, how far could she travel? Write an inequality and solve
Answer:
6 miles
Step-by-step explanation:
20.00 - 2.00 = 18
18/3 = 6
she can travel 6 miles
How do you find area of a figure ?
Length × Width = Area
Answer:
The length x the widith. If there's more then 4 sides I think you just multiply them all together
Step-by-step explanation:
The equation 6 = 2x2 – 11x has two solutions, p and q, with p being greater than q.
What is the value of p – q?
[tex]~~~~~~6=2x^2 -11x\\\\\implies 2x^2 -11x -6 = 0\\\\\implies 2x^2 -12x +x-6=0\\\\\implies 2x(x-6) +(x-6) = 0\\\\\implies (2x+1)(x-6) = 0\\\\\implies x = -\dfrac 12,~~ x= 6\\\\\text{Since }~p > q,}~~ p =6~ \text{and}~ q = -\dfrac 12\\ \\\text{So,}~ p-q = 6 -\left(- \dfrac 12 \right)\\\\~~~~~~~~~~~~~=6+\dfrac 12 \\\\~~~~~~~~~~~~~=\dfrac{13}2\\\\~~~~~~~~~~~~~=6.5[/tex]
The value of p -q is 6.5.
How to find the roots of a quadratic equation?Suppose that the given quadratic equation is
ax^2 + bx + c = 0
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The equation 6 = 2x^2 - 11x has two solutions, p and q, with p being greater than q.
[tex]6 = 2x^2 - 11x \\\\ 2x^2 - 11x - 6 = 0\\\\ 2x^2 - 12x + x- 6 = 0\\[/tex]
(2x + 1) (x-6) = 0
Thus, x = -1/2 , 6
Since p>q
p = 6 , q = -1/2
So, p -q = 6 - (-1/2)
= 6 + 1/2
= 13/2
= 6.5
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PLEASE HELP ME IM IN A HURRY RN
Answer:
x=-32
Step-by-step explanation:
its the last one
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Are the ratios 4:8 and 1:2 equivalent?
Answer:
yes
Step-by-step explanation:
yes they are i can see this because, 4/8 is the same as 1/2.
I know this because if you reduce 4/8, you will get 1/2.
In a company's first year in operation, it made an annual profit of $140,000. The profit of the company increased at a constant 20% per year each year. How much total profit would the company make over the course of its first 14 years of operation, to the nearest whole number?
Answer:
$8,287,429
Step-by-step explanation:
The total profit will be the sum of a geometric series. The formula for that sum is ...
Sn = a1 × (r^n -1)/(r -1)
where a1 is the first term, r is the common ratio, and n is the number of terms.
__
Here, the series has first term $140,000, common ratio 1+0.20 = 1.2, and we want the total of 14 terms. The total profit is ...
S14 = ($140,000) × (1.2^14 -1)/(1.2 -1) ≈ $8,287,429
In the first 14 years of operation, the total profit would be $8,287,429.
What number am i?7 times two digit number equals 4 times number with the digit reversed .the sum of the digits is 3.
Answer:
12
Step-by-step explanation:
7 times 12 is 84. 4 times 21 is 84. The digits have a sum of 3.
11 x_
= 121 what is the missing number?
Answer:
11
Step-by-step explanation:
11x=121
11x/11 = 121/11
x = 11
So, 11*11 = 121
If f(x) = 16x^2 – 20x, what is the value of f(3)?
(Pls show work)
Answer:
f(3) = 84
Step-by-step explanation:
To evaluate a function for a specific value of the variable, put the value in the function's expression where the variable is, and do the arithmetic.
__
Sometimes it works well to simplify the expression a bit.
f(x) = 16x^2 -20x = 4x(4x -5)
f(3) = 4(3)(4(3) -5)) = (12)(7)
f(3) = 84
will give brainliest
Answer:
Here is your answer
Step-by-step explanation:
Bearing from point A to B, can be calculated as,
beta = atan * 2(X, Y)
where, X and Y are two quantities and can be calculated as:
X=cos theta b^ * s AL
Y=cos theta a^ * sin theta b-sin theta a^ * cos theta b^ * cos Delta l put the values and calculate
Select the correct answer from the drop-down menu. a survey conducted in a certain town found that 1 out of every 5 individuals owned a bike. a statistician calculated the margin of error to be 1.5%. the maximum percentage of individuals who own a bike is .
The maximum percentage of individuals who own a bike is 21.5%.
What is the maximum percentage?Margin of error is the percentage points a researcher's value would differ from the real population's value. The maximum percentage is the sum of the margin of error and the true value.
The maximum percentage = margin of error + true value
(1/5) x 100 + 1.5% = 21.5%
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Answer:
See image
Step-by-step explanation:
Plato
HELPPPP
y=1/8x+3 in standard form
Answer:
[tex]x-8y=-24[/tex]
Step-by-step explanation:
Standard form of a linear equation: [tex]Ax+By=C[/tex]
(where A, B and C are integers, and A shouldn't be negative)
Given equation:
[tex]y=\dfrac{1}{8}x+3[/tex]
Multiply both sides by 8:
[tex]\implies 8 \cdot y=8 \cdot \dfrac{1}{8}x+8 \cdot 3[/tex]
[tex]\implies 8y=x+24[/tex]
Subtract 8y from both sides:
[tex]\implies 8y-8y=x+24-8y[/tex]
[tex]\implies 0=x+24-8y[/tex]
Subtract 24 from both sides:
[tex]\implies 0-24=x+24-8y-24[/tex]
[tex]\implies -24=x-8y[/tex]
In standard form:
[tex]\implies x-8y=-24[/tex]
describe full the graph that has the equation x^2 + y^2=9
Answer:
see explanation
Step-by-step explanation:
the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 9 ← is in this form
with centre (0, 0 ) and r = [tex]\sqrt{9}[/tex] = 3
this then is the equation of a circle whose centre is (0, 0 ) with radius 3
Answer:
Step-by-step explanation:
Discussion
First of all, the graph is of a circle. Anytime you see x^2 + y^2 = r^2, you are dealing with a circleThe center is at 0,0. If it was anything else then x or y or both would be modified. (x+4)^2 + ( y - 3)^2 = 25 does not have it's center at 0,0Third, the radius of the circle is the square root of r^2. In this case, r^2 = 9 so r = sqrt(9) or r = 3What is the distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth?
Step-by-step explanation:
first, draw a graph and subtract the nbers in brackets with the others. when done -6,-4 will help you solve the answer
The distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units
Distance between two pointsThe formula for calculating the distance between two points is expressed as:
D = √(y2-y1)²+(x2-x1)²
Given the coordinate points X(−4,3) and Y(2,−7)
Substitute
XY = √(-7-3)²+(2+4)²
XY = √(-10)²+(6)²
XY = √100+36
XY = √136
XY = 11.7 units
Hence the distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units
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2. Noah is solving the equation x² + 8x + 15 = 3. He begins by rewriting the
expression on the left in factored form and writes (x + 3)(x + 5) = 3. He
does not know what to do next.
Noah knows that the solutions are x = -2 and x = -6, but is not sure how
get to these values from his equation.
Solve the original equation by completing the square.
Answer:
The solution set is {-6, -2}.
Step-by-step explanation:
x^2 + 8x + 15 = 3
x^2 + 8x = -12
Completing the square:
(x + 4)^2 - 16 = -12
(x + 4)^2 = 4
Taking square roots of both sides:
x + 4 = +/- 2
x = 2 - 4 = -2 or x = -2-4 = -6.
The Breaker's Manufacturing Company makes 80% of a particular sensor, the Cartin Company makes 15% of them, and the Flutes Company makes the other 5%. The sensors made by Breaker's have a 4% defect rate, the Cartin sensors have a 6% defect rate, and the Flutes sensors have a 9% defect rate. If a sensor is randomly selected from the general population of all sensors, what is the probability that it is defective, given that it was made by Breaker’s?
Answer:
0.04
Step-by-step explanation:
The sensors made by Breaker's have a 4% defect rate
Which graph represents the function f(x) = x| - 2'
Answer:
the function of y =×+1 is equal to (×,-4)
The graph that has the thinnest triangle is the correct one or C.
Step-by-step explanation:
Identifying the Graph of a
Function
Try It
Which graph represents the function h(x) = |x - 3|?
Answer: the one that passes through the y-intercept of -3
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
A rectangle has a length of 2x+1 and a width of 3x-2. What is the perimeter of the rectangle?
Answer:
The opposite sides of a rectangle are equal in length ⇒ perimeter = 2(3x +1) +2(x + 1) Also the perimeter = 28.
Answer:
P=2(L+W)
Step-by-step explanation:
p=2(L+W)
2(2x+1)+2(3x-2)
4x+2+6x-4
10x-2
Awnser This Question to get 10pts!
Remember to say: 1. 2. (Beetween 1.) and 3.
Answer
Box (1) : 240Box (2) : 40Box (3) : 2632Hope it helps
Simplify the expression (2x − 9)(x 6). a. 2x2 − 54 b. 2x2 − 3x − 54 c. 2x2 3x − 54 d. 2x2 21x − 54
The means of simplifiying is by factoring. The simplified form of the expression is 2x² + 3x - 5
Simplifying expressionsThe means of simplifiying is by factoring
Given the expression
(2x - 9) (x+ 6)
Expand
(2x - 9) (x+ 6)
2x² +12x -9x - 54
2x² + 3x - 54
Hence the simplified form of the expression is 2x² + 3x - 54
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Answer: It's
c
Step-by-step explanation:
Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56
The simplest form of the expression (x + 7)(3x − 8) is 3x² + 13x - 56
How to determine the simplest form of this expression?The expression is given as:
(x + 7)(3x − 8)
Expand the expression
3x² - 8x + 21x - 56
Evaluate the like terms
3x² + 13x - 56
Hence, the simplest form of the expression (x + 7)(3x − 8) is 3x² + 13x - 56
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The points (−8,−2) and (7,4) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Answer
8.08
Use the distance formula:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf d =\sqrt{(7-(-8))^2 + (4-(-2))^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{(15)^2 + (6)^2}[/tex]
[tex]\rightarrow \sf d =3\sqrt{29}[/tex]
This is the length of diameter.
Then radius:
· diameter/2
[tex]\sf \cdot \dfrac{3\sqrt{29} }{2}[/tex]
[tex]\sf \cdot 8.0777[/tex]
[tex]\sf \cdot 8.08 \ \ (rounded \ to \ nearest \ hundreth)[/tex]
109, 94, 87, 103, 89, 112, 98, 115, 99 Find the minimum.
ANSWER ASAP PLEASE
Answer:
The minimum is 87
Step-by-step explanation:
The minimum is the lowest number that you can see. 87 is the minimum because it is the lowest of all numbers listed
Answer:
87
Step-by-step explanation:
Put them in order
87, 89, 94, 98, 99, 103, 109, 112, 115
Minimum = The least
The least = 87
Which THREE statements would produce the truth value F when pis true and q is false?
The THREE statements that would produce the truth value F when p is true and q is false are (a) p → q (b) ¬ p ∧ ¬ q (d) q ∨ ¬ p
How to determine the statements with a false truth value?To do this, we simply analyze each option
The given parameters are:
p = true
q = false
(a) p → q
This means that:
If p then q
So, we have:
If true then false
The above statement would return false.
(b) ¬ p ∧ ¬ q
This means that:
If not p and not q
So, we have:
If not true and not false
i.e.
If false and true
The above statement would return false.
(c) p → ¬ q
This means that:
If p then not q
So, we have:
If true then not false
i.e.
If true then true
The above statement would return true.
(d) q ∨ ¬ p
This means that:
If q and not p
So, we have:
If false and not true
i.e.
If false and false
The above statement would return false.
Hence, the THREE statements that would produce the truth value F when p is true and q is false are (a) p → q (b) ¬ p ∧ ¬ q (d) q ∨ ¬ p
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