Answers
Answer:
4. 52 ft^2
5. 25 ft^2
Step-by-step explanation:
15 -11 To get the width of scrapbooking which is = 4
4 * 13 = 52 ft^2
9 - 4 = 5 ft
5 * 5 = 25ft
Related Questions
If function f has zeros at -3 and 4, which graph could represent function f?
Answers
Answer:
A
Step-by-step explanation:
f has zero means that f(x)=0
if f(x)=0 we have to look intersection point or points in the graph on the x-axis.
for A
y=0
x=-3, x=4
for B
y=0
x=-4, x=3
for C
y=0
x=-4, x=-3
for D
y=0
x=3, x=4
I = PRT/100
where
I = simple interest
P = the amount of money invested
R = the interest rate
T = the period of time the money is invested for.
Carla invests £500 for 3 years at a rate of 5%.
How much simple interest does Carla earn?
Answers
Answer:
75
Step-by-step explanation:
I = PRT/100
Substitute the values
in
I = 500 * 5 * 3 /100
I = 75
Find the position vector of a particle that has the given acceleration and the specified initial velocity and position.a (t) = 8t i + sin t j + cos 2t k, v(0) = i, r(0) = jr(t) = ?(b) On your own using a computer, graph the path of the particle.
Answers
Answer:
remember that:
a*i + b*j + c*k can be written as a vector: (a, b, c)
We know the acceleration of the particle, and we want to find the velocity of the particle, so we just need to integrate two times.
a(t) = (8*t, sin(t), cos(2*t))
integrating that, we get:
V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + v0
where v0 is the vector that defines the velocity at t = 0
in the question you wrote:
V(0) = i
so i suppose that this is:
V(0) = (1, 0, 0)
Then the velocity equation gives:
V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + (1, 0, 0)
V(t) = (4*t^2 + 1, -cos(t), sin(2*t)/2)
Now to get the position equation, we integrate it again
r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + r0
where r0 is the initial position, in the question you wrote:
r(0) = j
so we get:
r(0) = (0, 1, 0)
replacing that we get:
r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + (0, 1, 0)
r(t) = ((4/3)*t^3 + t, -sin(t) + 1, -cos(2*t)/4)
Writing this in the same notation than in the question, we get:
r(t) = [(4/3)*t^3 + t}*i + [-sin(t) + 1]*j + [-cos(2*t)/4]*k
b) Now we want to graph this:
The image isn't really good but can be used to understand the motion of the particle.
plsss help !!
Jack and Grace went to the store to buy flowers. Jack bought 3 carnations and 5 roses for a total cost of $22.50. Grace bought 3 carnations and 2 roses for a total cost of $13.50. what does one carnation and one rose cost?
Answers
Answer:
carnation $2.50; rose $3.00
Step-by-step explanation:
Let c = price of 1 carnation.
Let r = price of 1 rose.
3c + 5r = 22.5
3c + 2r = 13.50
Subtract the se3cond equation from the first equation.
3r = 9
r = 3
Now substitute r = 3 in the first equation and solve for c.
3c + 5r = 22.5
3c + 5(3) = 22.5
3c = 7.5
c = 2.5
Answer: carnation $2.50; rose $3.00
It costs a total of R138.90 to purchase 10 loaves of bread and 12 litres of cooidrinks in a store. If the store raises the price of bread by 20% and the price of cooldrinks by 10%, the total price of these items becomes R159.54. Find the original price of three loaves of bread and two litres of cooldrinks.
Answers
9514 1404 393
Answer:
R32.15
Step-by-step explanation:
Let x and y represent the original price of a loaf of bread and a liter of drink, respectively. The two relations given by the problem statement are ...
10x +12y = 138.90
10(1.2x) +12(1.1y) = 159.54
Multiplying the first equation by 1.2 and subtracting the second gives ...
1.2(10x +12y) -(10(1.2x) +12(1.1y)) = 1.2(138.90) -(159.54)
1.2y = 7.14 . . . . collect terms
y = 5.95 . . . . . divide by 1.2
The value of x can be found from the first equation.
10x + 12(5.95) = 138.90
10x = 67.50 . . . . . . . . . . . subtract 71.40
x = 6.75 . . . . divide by 10
Then the value of 3x+2y is ...
3(6.75) +2(5.95) = 32.15
The original price of 3 loaves and 2 liters is R31.15.
Help me i think it’s c
Answers
Answer: Graph B
=====================================================
Explanation:
Point A appears to be at (2.5, -1)
If we shift 6 units to the left, then we subtract 6 from the x coordinate. So the new x coordinate is now 2.5-6 = -3.5
If we shift 4 units up, then we add 4 to the y coordinate to go from -1 to -1+4 = 3
Overall, the point A(2.5, -1) moves to A'(-3.5, 3)
Graph B is the answer because of this. The other points B and C will follow the same pattern as point A does.
Help ASAP please!!
For a proof by induction of the math statement below,
identify the correct step for proving the theorem is true
for n=k+1
2+4+6+...+2n=n(n+1)
Answers
Answer:
2+4+6+...+2k+2(k+1) = k(k+1) + (k+1)(k+1)
Step-by-step explanation:
Proved case for n
2+4+6+...+2n = n(n+1) ................(1)
for n = k + 1, we replace n by k and add n = k+1 on both sides (
2+4+6+...+2k+2(k+1) = k(k+1) + 2(k+1))
rearrange by factoring the right-hand-side
2+4+6+...+2k+2(k+1) = (k+1)(k+2)
which if we substitute n=k+1, we get back
2+4+6+...+2(n-1) + 2(n) = n(n+1) ...............(2)
This means that equation (1) is applicable to case n+1, and the proof by induction is completed.
How is the product of a complex number and a real number represented on the coordinate plane?
A. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a scalar of the complex number.
B. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a countercockwise rotation of 90 degrees of the complex number.
C. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a clockwise rotation of 90 degrees of the complex number.
D. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows the product is a counterclockwise rotation of 90 degrees and a scalar of the complex number.
Please help I don't know which one.
Answers
Answer:
A
Step-by-step explanation: When you multiply a coordinate in the complex plane it doesn't just magically rotate. It works the exact same way a normal coordinate would. Therefore, the answer is A
When 2 + 3i is multiplied by 3, the result is 6 + 9i. Graphically, this shows that the product is a scalar of the complex number.
The correct answer is an option (A)
What is a complex number?"It is number of the form [tex]x+iy[/tex] where the first part (x) is called real part and the second part ([tex]iy[/tex]) is called as imaginary part and [tex]i=\sqrt{-1}[/tex]"
What are real numbers?"It is a combination of rational and irrational numbers, including positive and negative whole numbers, integers, decimals, fractions"
For given example,
The product of a complex number and a real number.
Let, [tex]u[/tex] be any real number and [tex]x+iy[/tex] be any complex number.
The product of 'u' and 'x + iy' is,
[tex]\Rightarrow u\times(x+iy)=(u\times x)+i(u\times y)\\\\\Rightarrow u(x+iy)=ux+i(uy)[/tex]
Let [tex]2+3i[/tex] be a complex number.
For [tex]u=4[/tex],
[tex]\Rightarrow 4\times(2+3i)=8+12i[/tex]
Let [tex]u=-2[/tex],
[tex]\Rightarrow -2\times(2+3i)=-4-6i[/tex]
We can observe that, the product is a scalar of the complex number.
Therefore, when 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a scalar of the complex number.
The correct answer is an option (A)
Learn more about the product of real number and complex numbers here:
https://brainly.com/question/16544923
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Write - 32/12 as a mixed number in reduced form.
Answers
-2 2/3 = -2.6 = -8/3
Answer: -2 2/3 or -8/3
Step-by-step explanation:
Hope this help
Pls help
Escape Question 2
Answers
Answer:
unlock code is 11
A= 27
B=16
C=1
(11)^1 = 11
Step-by-step explanation:
please help. having trouble with this question.
Answers
Answer:
Step-by-step explanation:
The problem told you what all the variables represent, so all we have to do it fill them in accordingly and solve:
[tex]V=6440e^{(.068)(8)}[/tex] and
[tex]V=6440e^{.544}[/tex] and
V = 6440(1.7228846) so
V = $11,095.38
Write a linear factorization of the function.
f(x) = x4 + 16x2
f(x) = x2 (4x + i)(4x - i)
f(x) = x2 (x + 4i)2
f(x) = x2 (x + 4i)(x - 4i)
f(x) = x2 (4x + i)2
Answers
Answer:
f(x) = x^2 ( x -4i) (x+4i)
Step-by-step explanation:
f(x) = x^4 + 16x^2
Factor out x^2
f(x) = x^2 ( x^2 +16)
f(x) = x^2 ( x^2 - -16)
The square root of -16 is 4i and -4i
Using the difference of square (a^2 - b^2) = (a-b)(a+b)
f(x) = x^2 ( x -4i) (x+4i)
select an expression that is equivalent to 4√x2/3
A x14x14
B x94x94
C x16x16
D x83x83
Answers
Answer:
here is your answer
Step-by-step explanation:
here is your answer
How many Egyptian numerals (total) are needed to represent the following problem?
Answers
Which inequality represents the compound in
equality x > 3 and x < 5
Answers
Answer:love
Step-by-step explanation:
Inequalities and Absolute Value Equations.
x > 3 and x < 5
Inequality Form:3<x<5
Interval Notation:
(3,5)
An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols
What are the 5 inequalities?The 5 inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠).
Which of the following is an example of compound inequality?Think about the example of the compound inequality: x < 5 and x ≥ −1. The graph of each individual inequality is shown in color. Since the word and joins the two inequalities, the solution is the overlap of the two solutions. This is where both of these statements are true at the same time.
To learn more about inequality, refer
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What is the smallest counting number that is divisible by 2, 4, 5, 6, and 12? express each number and your final answer as a product of primes. What do you notice?
Answers
Answer:
60
[tex]2^{2} * 3 * 5[/tex]
Step-by-step explanation:
13. Find the area of the parallelogram.
Answers
Answer:
Step-by-step explanation:
make it 1 triangle and trapezium
1) 1/2 x 7 x 8 = 28 in2
Answer:
56 in^2
Step-by-step explanation:
A = b* h
A = (8) * (7)
A = 56
A = 56 in ^2
Hope this helps!
Solve the inequality for s:
5s + 2 > 7
Answer:
Answers
Answer:
S>1
Step-by-step explanation:
5s + 2 > 7
Subtract 2 from both sides
5s>5
Divide 5 from both sides
S>1
Solution of the inequality is s>1.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.
Adding the same amount to each side, taking the same amount away from each side, multiplying or dividing each side by the same positive integer, and other operations can be used to solve the inequality.
The inequality sign must be reversed if either side is multiplied or divided by a negative number.
5s+2 > 7
Subtracting 2 on both side,
5s > 5
s>1
Therefore, the solution set of inequality is s>1.
To learn more about the inequality in mathematics;
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Parrot eats only ........ products
Answers
Answer:
Maybe Plants products...
A spinner with 8 equal-size sections labeled as shown is spun 200 times. What is the sample
space for this experiment?
Answers
Answer:
hiiooioudzzxuxojxoufxodyzufxufxyfxuoxudr tztdxhxfuoxir d and
X + 2 (x + 1) + 1 in the simplest form
Answers
Answer:
3x + 3
Step-by-step explanation:
First, the 2 must be distributed. This leaves us with x + 2x + 2 + 1. x and 2x are like terms, as are 2 and 1. They can be combined, giving us 3x + 3. 3x + 3 cannot be simplified any further, so it is the final answer.
Question: X + 2 (x + 1) + 1 in the simplest form
Answer: 3x+3
In one season, a basketball player missed 15% of her free throws. How many free throws did she attempt if she made 102 free throws? Write the exact answer. Do not
round
Answers
Answer:
120 free throws
Step-by-step explanation:
If she misses 15% of her free throws, that means she makes 85% of them.
Find how many she attempted by dividing 102 by 0.85:
102/0.85
= 120
So, she attempted 120 free throws
The number of free throws that were attempted is 120 free throws.
Since the basketball player missed 15% of her free throws, This means that the percentage scored will be:
= 100% - 15% = 85%
Therefore, 85% of x = 102
0.85x = 102
x = 102/0.85.
x = 120
Read related link on:
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Find mzmon???????????
Answers
Answer:
angle MON = 57 degree
Step-by-step explanation:
Angle LOM + Angle MON =90 degree (being perpendicular)
3x- 15+5x -23 = 90
8x -38 = 90
8x = 90 + 38
8x = 128
x = 128/8
x = 16
Angle MON
5x - 23
5*16 - 23
80 - 23
57 degree
Angle LOM
3x - 15
3*16 - 15
48 - 15
33 degree
8 subtracted by 1/3 + 2/3 equals?
Answers
Answer:
8-1/3=7 2/3+2/3=8 1/3
Step-by-step explanation:
Determine the value of x.
Answers
Answer:
x=10
Giving brainiest would be appreciated! :D
finding missing angles 33 33 x
Answers
x + 33 = 180
x = 180 - 33
x = 147
Explanation:
The angle x and the angle 33 are supplementary angles. Supplementary angle are two angle side-by-side one another, and when added, give you 180 degrees.
please help me solve this
Answers
Answer:
x=5, y=16
Step-by-step explanation:
y=x^2-9
y=2x+6
solve by substitution
2x+6= x^2 -9
2x+6 = (x+3) (x-3)
2 (x+3) = (x+3) (x-3)
divide both sides by x+3
2= x-3
add 3 to both sides
x=5
y= 2(5) +6
y= 16
Answer:
(-3, 0), (5, 16)Step-by-step explanation:
y = x² - 9y = 2x + 6Solve by substitution:
x² - 9 = 2x + 6x² - 2x - 15 = 0x² - 2x + 1 = 16 (x - 1)² = 4²x - 1 = ± 4x = 1 ± 4x = 5 ⇒ y = 2*5 + 6 = 16x = - 3 ⇒ y = 2*(-3) + 6 = 0PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!
Answers
Answer:
pulling a king out of a deck of cards
Step-by-step explanation:
A compound event is more than one thing happening
The only item listed that has only one thing happening is pulling a king out of a deck of cards, so that is the only one that is not a compound event
Express 384kg in tones
Answers
1 kg= 1000 tonnes
384 kg= 384×1000 tonnes = 384000 tonnes
Step-by-step explanation:
384kg = 0.384 tones!!!!!
Check all of the correct names for the object pictured below.
A. UT
B. TU
C. UT
D. TU
E. TU
DE UT
