[tex]\text{Conjugate of -3-4i is -3+4i}\\\\|-3-4i| = \sqrt{(-3)^2 + (-4)^2} = \sqrt{9+16} = \sqrt{25} =5[/tex]
Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for the license plates, and $40 for a state safety and emissions inspection. How does she need to play for these extra charges, not including the price of the car?
Answer:
999
Step-by-step explanation:
8% of 11,325 is 906
53 plus 40 is 93
906 plus 93 is 999
clara has a positive acceleration for 5 minutes
Answer:
The answer is C.
Step-by-step explanation:
An item is regularly priced at $35 It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?
Answer:
14 dollars off the original price
Step-by-step explanation:
if i can get 4 tastykake snack cakes. 4 for $5.00 how much would it be if i get 2 tastykake snack cakes?
Answer:
2.50
Step-by-step explanation:
If 4= $5.00
then divided 5.00 by 4=1.25
so 1 = 1.25
1.25x2=2.50
Therefore 2 tastykake snack cakes = $2.50
Answer:
The answer is 2.5
Step-by-step explanation:
5 divided by 4 = 1.25
1.25 times 2 = 2.5
brainliest :)
Adam bought 6 dozen balloons and filled them all with air. The air cost him
$.25 each balloon to have filled. Then he divided the balloons between 12 children.
How much did he spend total on the air for the balloons?
Answer:
Adam spent in total 288
The area of rectangle ABCD is 28 cm^2
a) What is the length of side AB in terms of x?
b) If the area of rectangle ABCD is 28cm^2
we can show that x2 + ax=b
a and b are integer values.
Work out the values of a and b.
The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:
Area = length * width
From the image:
Length of AB = x + 4
Length of BC = x + 6
The area of rectangle ABCD = Length of AB * Length of BC
28 = (x + 4)(x + 6)
x² + 10x + 24 = 28
x² + 10x = 4
Comparing with x² + ax = b gives:
a = 10, b = 4
Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
Find out more at: https://brainly.com/question/15019502
The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:
Area = length * width
From the image:
Length of AB = x + 4
Length of BC = x + 6
The area of rectangle ABCD = Length of AB * Length of BC
28 = (x + 4)(x + 6)
x² + 10x + 24 = 28
x² + 10x = 4
Comparing with x² + ax = b gives:
a = 10, b = 4
Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
20% tip on a bill of $22.41
Answer:
5 people - Tip per person = $0.90
Total per person = $5.39
10 people - Tip per person = Tip per person $0.45
Total per person = $2.70
Answer: the answer is $4.49 because if your bill is 22.41 and you divide that by 20 its 4.482 so then you add the 2 to the 8 which is 9 so 4.49
Solve the angles of this parallelogram
[tex]6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312[/tex]
Sorry for the spam, I just really need help.
write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4
Answer:
y= -3x + 8
Step-by-step explanation:
Put -2x + 6y = -4 into slope-interceltp form
Take the negative reciprocal of the slope.
Use this reciprocal in point-slope form
and you have,
= y= -3x + 8
(EDITED) Steps:
2x+6y = -4
6y=2x - 4
y= 1/3x + 2/3
if two lines are perpendicular,
m1 * m2 + -1
1/3 * m2 = -1
m2 = -3
the line perpendicular to this line is
y = -3x + k ; k ∈ R
the line passes through the point (5,-7)
so,
-7 = -3. (5) +k
-7 = -15 + k
k = 8
∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is
y= -3x + 8
Hope this helps, have a nice day/night! :D
Determine the value Y, if X is -2
Y=X-12
A shark is 205 feet below sea level, it rises 80 feet towards sea level, then 25 points
drops 40 feet. What is the current elevation?
Captionless Image
Answer:
165 feet below sea level.
Step-by-step explanation:
205 - 80 = 125
125 + 40 = 165
Helppppp I neeeed it!!!!!!
What is the cube root of 8x27?
Answer:
6
Step-by-step explanation:
this is so simple brother
Answer:
The cube root of 8x27 is 54
Step-by-step explanation:
Observe the following pattern (1×2)+(2×3)=2×3×43, (1×2)+(2×3)+(3×4)=3×4×53, (1×2)+(2×3)+(3×4)+(4×5)=4×5×63 and find the value of (1×2)+(2×3)+(3×4)+(4×5)+(5×6)
Determine the equation of the circle graphed below
Answer:
(x-3)^2+(y-5)^2=3^2
Step-by-step explanation:
plz help will mark as brainliest
Answer:
so the answer is = 210 beacuse u have multiply 5 times 6 times 7
Step-by-step explanation:
So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
find the greatest common factor (GCF) OF each pair of number using continuous division
1.15 and 30
2.Cassandra is creating individual servings of dessert.She has 16 pili nut candies and 24 chocolates. If she wants each serving to be indentical with no food left over what is the greatest number of servings Cassandra can create.
Answer:
1. GCF is 15.
2. 8 servings
Step-by-step explanation:
1. Continuous Division
3 15 30
5 5 10
1 2
Multiply the factors in the left side (3 and 5)
= 15
Greatest Common Factor is 15
2. Continuous Division
2 16 24
2 8 12
2 4 6
2 3
Multiply the factors in the left side (2,2 and 2)
= 8
Greatest number of servings is 8
Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)
Answer:
A = 8a + [tex]\frac{1}{2}[/tex]πa²
Step-by-step explanation:
The figure consists of a rectangle and a semi- circle
area of rectangle = 4 × 2a = 8a
area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )
= [tex]\frac{1}{2}[/tex]πa²
Then area (A ) of figure is
A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term
= [tex]\frac{1}{2}[/tex] a(16 + aπ)
Pls tell me the answer of this
Answer:
(C) 27
IS THE ANSWER....
Identify what Number property is shown for each statement
1. Commutative property of multiplication
3. Associative property of Addition
4.Associative property of multiplication
5. Symmetric property
6. Reflexive property
7. Transitive property
8. Zero property of multiplication
9. multiplicative inverse
10. Zero property of multiplication
11. Additive identity
12. Multiplicative identity
A. 21=21
B. If k=15 and 5 = 3m. Then k = 3m
C. 7+4=4+7
D. 9x0=0
E. 4+0=4
F. (5x3)x4=5x(3x4)
G. 10x3=3x10
H. 19x1=19
I. 8x1/2=1
J. If 11 = y then y = 11
K. (6+2) + 1 = 6 + 2 + 1
L. 2+(2-)=0
1. Commutative property of multiplication = G. 10x3=3x10
3. Associative property of Addition = K. (6+2) + 1 = 6 + (2 + 1)
4. Associative property of multiplication = F. (5x3)x4=5x(3x4)
5. Symmetric property = J. If 11 = y then y = 11
6. Reflexive property = A. 21=21
7. Transitive property = B. If k=15 and 5 = 3m. Then k = 3m
8. Zero property of multiplication = D. 9x0=0
9. multiplicative inverse = I. 8x1/2=1
10. Zero property of multiplication = L. 2+(2-)=0
11. Additive identity = E. 4+0=4
12. Multiplicative identity = H. 19x1=19
Hope this helps!
Answer:
Step-by-step explanation:
G. 10x3=3x10 1. Commutative property of multiplication
3. Associative property of Addition
F. (5x3)x4=5x(3x4) 4.Associative property of multiplication
J. If 11 = y then y = 11 5. Symmetric property
A. 21=21 6. Reflexive property
7. Transitive property
8. Zero property of multiplication
9. multiplicative inverse
D. 9x0=0 10. Zero property of multiplication
E. 4+0=4 11. Additive identity
H. 19x1=19 12. Multiplicative identity
B. If k=15 and 5 = 3m. Then k = 3m This statement is not true.
This may be the transitive property, but this was written incorrectly. You have 15 in k = 15, but 5 in 5 = 3m.
C. 7+4=4+7 This is commutative property of addition, which is not listed above
I. 8x1/2=1 This statement is false. Maybe you meant 8 x 1/8 = 1. Then it is 9. Multiplicative inverse.
K. (6+2) + 1 = 6 + 2 + 1 This does not illustrate anything.
Maybe you missed the parentheses on the right side: 6 + (2 + 1). Then it is the associative property of addition.
L. 2+(2-)=0 If this were 2 + (-2) = 0, then it would be Additive Inverse, but I don't see this listed above.
A shop sells orange juice in the following ways:
500 ml bottle for £1.25
1.5 litre carton for £2.35 each or 2 cartons for £3.50
2 litre carton for £3.25
What's the cheapest way of buying exactly 8 litres with no extra?
Find the amount of each type of bottle or carton you need and the total cost of buying 8 litres
Answer:
1.
1.5 litre carton for $2.35 is the cheapest way since it's the cheapest out of all the other options.
2.
a. 1.25 / 0.5 = $2.50 per L
2.35 / 1.5 = $1.57 per L
3.25 / 2 = $1.63 per L
b. 2.50 x 8 = $20.00 per 8 L
1.57 x 8 = $12.56 per 8 L
1.63 x 8 = $13.04 per 8 L
Step-by-step explanation:
find unit rate (cost / quantity)
The (least common multiple, greatest common factor) of 5 and 10 is 5.
Answer:
the Greatest common factor is 5
Compound $35.000 is invested at 5% compound interest. What is the interest at the end of three years?
Answer:
$40,516.86
Step-by-step explanation:
start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.
Answer:
A = $40,516.88
Step-by-step explanation:
Assuming that interest is compounded annually:
The AMOUNT will be A = P(1 + r)^2, which here is
A = $35,000(1 + 0.05)^3, or
A = $40,516.88
The equation Y-5 = 6(x+1) is written in point-slope form. What is the equation written in slope-intercept form?
O y = 6x + 11
O y = 6x - 1
O y = 6x - 4
O y = 6x + 6.
Answer:
Option A: y = 6x + 11
Step-by-step explanation:
Given the linear equation in point-slope form, y - 5 = 6(x + 1), and that we must determine its equivalent slope-intercept form, y = mx + b:
First, we must distribute 6 into the parenthesis on the right-hand side of the equation:
y - 5 = 6(x + 1)
y - 5 = 6x + 6
Lastly, we must add 5 to both sides of the equation to isolate y:
y - 5 + 5 = 6x + 6 + 5
y = 6x + 11
Therefore, the slope-intercept form is: y = 6x + 11, which matches Option A.
Morgan is buying packages of hotdogs and hamburgers. She is spending a total of $25. Hamburgers cost $9 and hotdogs cost $2. She bought a total of 9 packages.
Morgan wrote the following system of equation to model the scenario:
What does the variable "y" represent?
Step-by-step explanation:
I don't see the equations.
but I can build some myself :
x = number of hamburger packages
y = number of hotdogs packages
x + y = 9
9x + 2y = 25
the first equation tells us after moving y to the right side
x = -y + 9
and that we are using now in the second equation :
9(-y + 9) + 2y = 25
-9y + 81 + 2y = 25
-7y = -56
y = 8
x = -y + 9 = -8 + 9 = 1
Which expression is equivalent to the given expression?
Step-by-step explanation:
16x²y⁵16x²y⁵ is the answer
Mark me BRAINLIEST pls!Find the value of f.
Answer:
f =18
Step-by-step explanation:
The sum of the angles of a triangles is 180
3f+6f+f = 180
10f = 180
Divide by 10
10f/10=180/10
f = 18
The function P(h) = 21h represents the total salary at a rate of $21 per
hour, P. as a function of the number of hours worked, h.
Find the total salary, when the number of hours worked is 34.
Replace h with 34:
p(h) = 21(34)
Multiply :
21x 34 = 714
Answer: $714
If you can wash seven cars in three hours how many cars can you wash in eight hours
Expand the function.
4
f(x)
=
(2x + 3)4
Answer:
16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Step-by-step explanation:
Use the binomial expansion theorem to find each term. ∑
∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k
Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4
Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4
Simplify each term.
= 16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81