Answer:
C.6
Step-by-step explanation:
8) 3/
of the magazines sold at a newsagents were wedding magazines.
What is this as a percentage?
44
Answer:
0.0085× 100= 0.85℅
Step-by-step explanation:
okay so you want 3/8 from 44 as percentage but how can you put the 3/8 on top of the 44 to multilply it by 100 to get the percentage, ofcourse we will have to change the 3/8 into a whole number. To do that we are going to do the following.
= 3 ÷ 8 = 0.375, so here you got a number that you can put on the 44.
Now to get the percentage we are going to do this:
0.375/44 × 100
= 0.0085 × 100 ( I solved the 0.375/44 as you know that division always comes first in maths)
= 0.85℅ ( I solved the 0.0085 × 100)
°•°•° I hope this helped sorry for taking long °•°•° May I get brainliest if you liked my ans im trying to lvl up ty and its okay if you don't want to
Multiply (3a³-6b³) (4a² + 5b²)
Answer:
[tex]12a^5+15a^3b^2-24b^3a^2-30b^5[/tex]
Step-by-step explanation:
(3a³-6b³) (4a² + 5b²) -> Simplify not Multiply
Expand (3a³-6b³) (4a² + 5b²) using the FOIL Method.
Apply the distributive property.
[tex]3a^3(4a^2+5b^2)-6b^3(4a^2+5b^2)[/tex]
[tex]3a^3(4a^2)+3a^3(5b^2)-6b^3(4a^2+5b^2)[/tex]
[tex]3a^3(4a^2)+3a^3(5b^2)-6b^3(4a^2)-6b^3(5b^2)[/tex]
Simplify each term.
Rewrite using the commutative property of multiplication.
[tex]3*4a^3a^2+3a^3(5b^2)-6b^3(4a^2)-6b^3(5b^2)[/tex]
↓
[tex]12a^5+15a^3b^2-24b^3a^2-30b^5[/tex]
Equation Simplified.
---------------------------------------------------------------------------------------
Hope this helped!
Consider the matrix [tex]A_{4x4}, det(A) = -2[/tex]
Show that the following is true or false:
[tex]det(adj(2A^{-1}) =-2^{9}[/tex]
We found a counterexample, so the statement is false.
Is the statement true?
Let's use the matrix:
[tex]\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right][/tex]
This is a 4x4 matrix with determinant equal to -2.
The inverse matrix is:
[tex]\left[\begin{array}{cccc}1/2&0&0&0\\0&-1&0&0\\0&0&-1&0\\ 0&0&0&-1 \end{array}\right][/tex]
If we multiply it by 2, we get:
[tex]\left[\begin{array}{cccc}1&0&0&0\\0&-2&0&0\\0&0&-2&0\\ 0&0&0&-2 \end{array}\right][/tex]
The adjoint of that is the original matrix, actually:
[tex]\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right][/tex]
Which we already know, has a determinant of -2.
So the statement is false, as we found a counterexample.
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Derek works 43 hours at a rate of pay of $15 per hour. He receives double pay over 40 hours. What is his gross pay?
The Gross pay which Derek gets is 690 dollars.
What is Gross Pay?Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages. The amount remaining after all withholdings are accounted for is net pay or take-home pay.
Here, Total hours worked by Derek = 43 hours
Rate of pay = $15 per hour
Rate of pay beyond 40 hours = $30 per hour
Now,
Rate of pay for the first 40 hours = 40 X 15 = $ 600
Since the pay rate doubles after 40 hours,
Rate of pay for the remaining 3 hours = 3 X 30 = $ 90
Gross Pay = 600 + 90 = $ 690
Thus, the Gross pay which Derek gets is 690 dollars.
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What is the equation of the line that has a slope of -4 and passes through the point (2,3)?
Answer:
The answer is y = -4x+11
What is the slope intercept of the line below
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{Option D, y = 2x - 3}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{The graph}[/tex]
Find: [tex]\textsf{The equation in slope intercept form}[/tex]
Solution: Looking at the graph, we can see that the line intersects the y-axis at -3 therefore that is the y-intercept. All we need to do now is find a second point so we can determine the slope. The line crosses at (1, -1) so we will use that as the second point. Then we just plug all of the values into the slope intercept form.
Determine the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex][tex]m = \frac{-1 - (-3)}{1 - 0}[/tex][tex]m = \frac{-1 + 3}{1}[/tex][tex]m = \frac{2}{1}[/tex][tex]m = 2[/tex]Plug in the values
[tex]y = mx + b[/tex][tex]y = 2x - 3[/tex]Therefore, the option that would best fit the graph that was provided would be option D, y = 2x - 3.
Which statements are true about the ordered pair (-1,-4) and the system of equations? x-y=3 and 7x-y=-3
Answer:
when (-1, -4) is substituted into the first equation it's true
when (-1, -4) is substituted into the second equation it's true
the ordered pair (-1, -4) is a solution to the systems of equation
Step-by-step explanation:
original equation
x-y=3
multiply both sides by 7
7x-7y = 21
add 7y to both sides
7x=7y + 21
substitute into second equation
(7y+21)-y=-3
simplify
6y+21=-3
subtract 21 from both sides
6y=-24
y=-4
substitute y into original equation
x-(-4) = 3
cancel out negative signs
x+4=3
subtract -4 from both sides
x=-1
Write a linear equation in slope-intercept form using a slope and a given point. If a line has a slope of short dash 2 and goes through the point open parentheses 1 comma short dash 3 close parentheses, then the equation for the line in slope-intercept form is ______________. a.) y equals short dash 2 x minus 1 b.) y equals short dash 2 x plus 1 c.) y equals 2 x minus 5 d.) y equals 2 x plus 5
y equals short dash 2 x minus 1
In other words, y = -2x - 1 is the equation
=========================================================
Explanation:
Slope = m = -2
Point on the line is (x,y) = (1, -3)
Use these three items to find the y intercept b
y = mx+b
-3 = -2*1 + b
-3 = -2 + b
-3+2 = b
-1 = b
b = -1
The slope intercept form of y = mx+b turns into y = -2x-1 after plugging m = -2 and b = -1
One leg of a 90-45-45 triangle is 5. What are the sides of the hypotenuse and the other leg?
Answer:
5√2, 5
Step-by-step explanation:
in a 90 45 45 triangle, each leg is the same legnth
the hypotenuse of a 90 45 45 triangle is x√2
x being the measure of the leg
How would you multiply 4x 2
—
3
( 4 x 2 by 3 (fractions))
Answer:
8/3
Step-by-step explanation:
4 x 2 = 8, so (4 × 2)/2 = 8/3.
Which of the following linear equations passes through points (-1,5) and (1,-5)?
Y=-5x
Y=5x+10
Y=-2x+3
Answer:
y = -5x
Step-by-step explanation:
gradient = delta y / delta x
gradient = -10 / 2
gradient = -5
y = mx + b
5 = -5(-1) + b
5 = 5 + b
b = 0
y = -5x
A linear function contains the following points. What are the slope and y-intercept of this function?
Answer:
slope: -1
y-intercept: 6
Step-by-step explanation:
y-intercept is when x is 0 so it's 8 and the slope can be found using the slope formula (y2-y1)/(x2-x1)
(6-8)/(0 - (-2)) = -2/2 = -1
yo
24
yx
SECTION B
(a) Identity element;
(b) Inverse of 3 and -5 under *
Range y
[30 marks]
Answer all the questions in this section. All questions carry equal marks.
1. A binary operation is defined on the set of real numbers, R, by x + y = x + y + 10.
Find the:
The inverse of 3 and _ 5
Answer:
Sorry I don't know the answer
Simplify (3^1\2x2^1\3)^1\2
Answer:
1.37
Step-by-step explanation:
3^1=3/2=1.5
2^(1/3)=1.26
1.5×1.26=1.89
1.89^(1/2)=1.37
if a tap leaks at the rate of 1 L per half minute, how many litres are Lost after 10 minutes?
Answer:
The answer is 20 L
Step-by-step explanation:
if 1/2 minutes = 1 L
10 minutes = 20 L
Answer:
20 liters
Step-by-step explanation:
when working with math problems about the rate that something is happening, it is typically helpful to find the unit rate.
In this case, the unit rate will be how many liters are lost in 1 minute (per unit essentially means per "1" )
we know that 1 liter is lost in 1/2 minute
1/2 minute = 1 liter
×2 ×2 {multiply both sides by 2 to find "1 minute"}
1 minute = 2 liters
So, for every 1 minute, we lose 2 liters
if we have 10 minutes, we can multiply both sides by 10:
1 minute = 2 liters
×10 ×10
10 minutes = 20 liters
So, after 10 minutes, 20 liters are lost
hope this helps!!
If an investor invests $24,000 into two bonds, one that pays 4% in simple interest, and the other paying 2% simple
interest, and the investor earns $700 annual interest, how much was invested in each account?
Round your answers to the nearest dollar.
2% bond: $
4% bond: $
Answers:
2% bond: $11000
4% bond: $13000
========================================================
Explanation:
x = amount invested in the 4% bond
y = amount invested in the 2% bond
Amounts are in dollars
The two amounts add to $24,000 so
x+y = 24000
y = -x+24000 is one equation to set up
0.04x = interest earned from the 4% bond
0.02y = interest earned from the 2% bond
0.04x+0.02y = total interest earned = $700
0.04x+0.02y = 700 is another equation to set up
------------
The system of equations is
[tex]\begin{cases}y = -x+24000\\0.04x+0.02y = 700\end{cases}[/tex]
Apply substitution. Solve for x.
0.04x+0.02y = 700
0.04x+0.02(-x+24000) = 700
0.04x-0.02x+480 = 700
0.02x= 700-480
0.02x= 220
x= 220/(0.02)
x = 11000
Use this to find y
y = -x+24000
y = -11000+24000
y = 13000
indicate whether the statement is true of false.
please provide a explanation
A linear system with three variables and three equations has a unique solution.
The statement is false, as the system can have no solutions or infinite solutions.
Is the statement true or false?
The statement says that a system of linear equations with 3 variables and 3 equations has one solution.
If the variables are x, y, and z, then the system can be written as:
[tex]a_1*x + b_1*y + c_1*z = d_1\\\\a_2*x + b_2*y + c_2*z = d_2\\\\a_3*x + b_3*y + c_3*z = d_3[/tex]
Now, the statement is clearly false. Suppose that we have:
[tex]a_1 = a_2 = a_3\\b_1 = b_2 = b_3\\c_1 = c_2 = c_3\\\\d_1 \neq d_2 \neq d_3[/tex]
Then we have 3 parallel equations. Parallel equations never do intercept, then this system has no solutions.
Then there are systems of 3 variables with 3 equations where there are no solutions, so the statement is false.
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Help me with this please and thank you!! :)
Answer:
Step-by-step explanation:
[tex]A \cap C[/tex] denotes the set of elements in both A and C, which is [tex]\{20, 24, 28\}[/tex].[tex]B^{C}[/tex] denotes the complement of set B, which is the set of all elements that are in the universal set that are not in set B. In this case, this set is [tex]\{3, 4, 5, 6, 8, 11, 13, 16, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28\}[/tex]We can describe 3x- 2 as an expression. How can we describe the parts of the expression that the arrows point to? 3x- 2
Step-by-step explanation:
3x - 2 is formatted in the formula y = mx + c
To substitute for 3x - 2
y = 3x -2
Which numbers below are odd?
A. 4271
B. 7966
C. 787
D. 288
E. 8113
F. 985
Which statement is true about this equation Y=-3x2+4x+-11
Answer:
For plato users, the answer would be letter C.
Step-by-step explanation:
A.
It represents neither a relation nor a function.
B.
It represents a relation only.
C.
It represents both a relation and a function.
D.
It represents a function only.
This equation represents both a relation and a function.
Took the test, hope this helps!
Step-by-step explanation:
A hole the size of a photograph is cut from a red piece
of paper to use in a picture frame.
3
What is the area of the piece of red paper after the hole
for the photograph has been cut?
O 17 square units
O 25 square units
O 39 square units
O 47 square units
Answer:
D)
Step-by-step explanation:
47 is the right answer! Have an cool day!
The area of the piece of red paper after the hole for the photograph has been cut is,
⇒ 47 square units.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Now, First, find the area of the two squares:
The photograph have vertices:
(-3, -2), (-2, 2), (2, 1), and (1, -3).
Since, The square is diagonally aligned, so we need to find the length between two points in order to find the area.
For (1, -3) and (2, 1).
There is a 1 unit length and a 4 unit height.
We can use the Pythagorean theorem to find the hypotenuse of the triangle, which is the length of the square's side:
1² + 4² = x²
1 + 16 = x²
x = √17
The side length for the square of the photograph is the square root of 17,
so the area of the photograph is 17 units²
Now, The red paper has side lengths of 8. The distance between (-4, 4) and (4, 4) is 8 units wide, so we do not need to use the Pythagorean theorem.
Now , we know the area of the red paper and photograph, you can subtract the area to find the red paper with the hole:
64 - 17 = 47 square units.
Thus, The area of the piece of red paper after the hole for the photograph has been cut is,
⇒ 47 square units.
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For any real number c, √² =
A. ²
B. cl
C. 1
D. C
Answer:
answer D ( if i interpreted your question correctly )
Step-by-step explanation:
Sqrt (c^2) = √(c^2) = C
Look at the attachment! This is algebra. 10 points!
If x∆y = 3x - y², then
5∆1 = 3×5 - 1² = 15 - 1 = 14
and
14∆6 = 3×14 - 6² = 42 - 36 = 6
So (5∆1)∆6 = 6.
The first term of a sequence is 5.
The term-to-term rule is 'add 8'. What is the 10th term of the sequence?
Answer:
[tex]\fbox {77}[/tex]
Step-by-step explanation:
Given
⇒ a = 5
⇒ d = + 8
Solving :
⇒ a₁₀ = a + 9d
⇒ a₁₀ = 5 + 9(8)
⇒ a₁₀ = 5 + 72
⇒ a₁₀ = 77
ratio of pi?
3. whats an estimation that's fraction form?
Answer:
22/7
Step-by-step explanation:
22/7 is not very close to pi, but it is sometimes used as an estimation for pi
Answer:
22/7 is estimation
6x -8=16 solve equation
Answer:
x = 4
Step-by-step explanation:
6x - 8 = 16 (add 8 to both sides)
6x = 24 (divide by 6 on both sides)
x = 4
Brainliest, please :)
Step-by-step explanation:
6x=16+8
6x=24
6x/6=24/6
x=4
so the answer is 4
Help me with this question please!!!
Question 1
We want to choose a white marble, then a black marble.
The probability of choosing a white marble is 9/(9+7+8)=9/24.The probability of choosing a black marble is 8/(9+7+8)=8/24.Multiplying these probabilities, we get (9/24)(8/24) = 1/8.
Question 2
For the guess to be less than 6, they have to choose 1, 2, 3, 4, or 5.Thus, the probability is 5/10 = 1/2.
Question 3
The probability of choosing a yellow marble is 7/(7+8+9)=7/24.The probability of choosing a green marble after is 9/(6+8+9)=9/23. [Note that the 7 yellow marbles is now 6 since we are assuming a yellow marble was drawn beforehand]Multiplying these probabilities, we get (7/24)(9/23) = 21/184.
−3x(4x² − 81) (x² + 64) = 0
Answer: [tex]x=0,x=-\frac{9}{2}, x=\frac{9}{2}[/tex]
Step-by-step explanation:
[tex]-3x(4x^2-81)(x^2+64)=0\\[/tex]
multiply the terms together
[tex]-12x^5-525x^3+15552x=0[/tex]
factor left side of the equation
[tex]3x(-x^2-64)(2x+9)(2x-9)=0[/tex]
set factors equal to 0
[tex]x=0,x=-\frac{9}{2}, x=\frac{9}{2}[/tex]
Evaluate iint S sqrt 1+x^ 2 +y^ 2 dS where S is the helicoid: r(u, v) = u * cos (v) * i + u * sin (v) * j + vk with 0 <= u <= 1, 0 <= v <= 2pi
Given the parameterization
[tex]\vec r(u,v) = u\cos(v) \, \vec\imath + u\sin(v) \,\vec\jmath + v \,\vec k[/tex]
take the normal vector to be
[tex]\vec n = \dfrac{\partial\vec r}{\partial u} \times \dfrac{\partial \vec r}{\partial v} = \sin(v) \,\vec\imath - \cos(v) \,\vec\jmath - u \,\vec k[/tex]
(The order of partial derivatives in the cross product doesn't matter since this a scalar line integral.)
Compute the magnitude of the normal vector.
[tex]\|\vec n\| = \sqrt{\sin^2(v) + (-\cos(v))^2 + (-u)^2} = \sqrt{1+u^2}[/tex]
so that the area element reduces to
[tex]dS = \|\vec n\| \, du\,du = \sqrt{1+u^2}\,du\,du[/tex]
Evaluate the integrand at [tex]\vec r[/tex] to get
[tex]\sqrt{1 + (u\cos(v))^2 + (u\sin(v))^2} = \sqrt{1 + u^2}[/tex]
The surface integral reduces to
[tex]\displaystyle \iint_S \sqrt{1+x^2+y^2} \, dS = \int_0^{2\pi} \int_0^1 (1+u^2) \, du \, dv = 2\pi \int_0^1 (1+u^2) \, du = \boxed{\frac{8\pi}3}[/tex]