Write a new expression to represent the account balance, in dollars, if interest compounded quarterly.

Answer:

The angle between the two vectors

∝ = 64°

Step-by-step explanation:

Step(i):-

Given that the vectors

                           [tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]

          and

                         [tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]

[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]

           =  3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)

          = 3 - 2 -10

          = -9

Step(ii):-

Let '∝' be the angle between the two vectors

                    [tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]

                  [tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]

                 [tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]

               [tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]

              ∝ = cos⁻¹(0.4392) = 63.947

Final answer:-

The angle between the two vectors

               ∝ = cos⁻¹(0.4392) = 63.947

                ∝ = 64°

Answer:

with?

Step-by-step explanation:

...............................................

Answer:

D. left-handed = 00–14, right-handed = 15–99

Step-by-step explanation:

Got it right on edge 2021

Answer:

1:9

Step-by-step explanation:

First Rectangle:

width x height = area

4 * 5 = 20

Second Rectangle:

(4*3)*(5*3)=x

12 * 15 = 180

Ratio:

180/20 = 90

1:9

Answer:

1:9 or 1/9

Step-by-step explanation:

if a rectangle is 5cm × 4cm

Area of rectangle= length ×width

= 5 × 4

=20cm²

if we triple dimensions of a rectangle we get the second rectangle

therefore, (5×3)cm × (4×3)cm

Area of second rectangle= 12 ×15

=180cm²

ratio is 20/180= 1/9 (Ans.)

Answer:

6.76

Step-by-step explanation:

Go to quizlet.

Answer:

The answer would be D.

Step-by-step explanation:

The answers is not C because your not adding, the answer is not A because its backwards And the answers is not B because it has the d on 24 but she didn't drink 24 drinks she only drank two so the answer would be D.

Answer:

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. ... In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Answer:

[tex]y=\frac{2}{3} x+\frac{7}{3}[/tex]

Step-by-step explanation:

Parallel lines have the same slope. Therefore, the line we're trying to find the equation for and the given line 2x-3y=1​ must have the same slope.

1) Find the slope of 2x-3y=1​

To do this, rewrite this equation in slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

[tex]2x-3y=1[/tex]

Subtract 2x from both sides

[tex]2x-3y-2x=1-2x\\-3y=-2x+1[/tex]

Divide both sides by -3 to isolate y

[tex]\frac{-3y}{-3}=\frac{-2}{-3}x+(\frac{1}{-3} )\\y=\frac{2}{3}x-\frac{1}{3}[/tex]

Now, we can easily identify that [tex]\frac{2}{3}[/tex] is in the position of m, the slope. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{2}{3} x+b[/tex]

2) Find the y-intercept

[tex]y=\frac{2}{3} x+b[/tex]

To find the y-intercept, plug the given point P(-2,1) into the equation and solve for b

[tex]1=\frac{2}{3} (-2)+b\\1=\frac{-4}{3}+b[/tex]

Add [tex]\frac{4}{3}[/tex] to both sides of the equation

[tex]1+\frac{4}{3}= \frac{-4}{3} +b+\frac{4}{3} \\\frac{3}{3} +\frac{4}{3}= b\\\frac{7}{3}[/tex]

Therefore, the y-intercept of the line is [tex]\frac{7}{3}[/tex]. Plug this into our original equation:

[tex]y=\frac{2}{3} x+b\\y=\frac{2}{3} x+\frac{7}{3}[/tex]

I hope this helps!

Answer: (a) [tex]\dfrac{5}{24}[/tex]

Step-by-step explanation:

Given: Fraction of section of land = [tex]\dfrac{5}{6}[/tex]

Fraction of corn planted on land = [tex]\dfrac14[/tex]

The fraction of the entire section is planted with Margaret’s corn =

[tex]\dfrac{5}{6}\times\dfrac{1}{4}\\=\dfrac{5}{24}[/tex]

The correct option is (a).

The fraction of the entire section is planted with Margaret’s corn = [tex]\dfrac{5}{24}[/tex]

Answer:

The definite integral expressing the total quantity of oil, 'V', which leaks out of the tanker in the first hour is given as follows;

[tex]V = \int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt[/tex]

Step-by-step explanation:

From the question, we have;

The rate at which oil leaks out of the tanker, r = f(t)

The unit of the oil leak = Liters per minute

The unit of t = Minutes

[tex]If \ f(t) = A \cdot e^{(-k \cdot t )}[/tex]

Therefore, we have;

The definite integral expressing the total quantity, 'V', of oil which leaks out of the tanker in the first hour is given as follows;

[tex]V = \int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt[/tex]

Therefore, we have;

[tex]\int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt = \dfrac{A \cdot e ^{60 \cdot k} - A}{k \cdot e ^{60 \cdot k} }[/tex]

Answer:

9>5

Step-by-step explanation:

9 comes further in counting than 5

=9=nine=greater than five=5=five

Answer:

2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did the same exact question and I got it right.

Answer:

625

Step-by-step explanation:

it is essentially 5*5*5*5

==================================================

Explanation:

Let's solve (x-2)(x-5) = 0 and doing so leads to x = 2 or x = 5. Plugging either value in for x makes the expression (x-2)(x-5) become 0.

Let's pick a value to the left of x = 2, let's say we pick x = 0. Plug this into the expression (x-2)(x-5) and we get the following:

(x-2)(x-5)

(0-2)(0-5)

(-2)(-5)

10

The result is a positive number, meaning that (x-2)(x-5) is positive when we select a value smaller than 2.

Now we'll repeat this with a value between 2 and 5. Let's say we pick on x = 3.

So,

(x-2)(x-5)

(3-2)(3-5)

(1)(-2)

-2

The result is negative, so (x-2)(x-5) is negative when 2 < x < 5. This immediately rules out choices C and E.

Unfortunately, answer choices B and D won't work either for similar reasoning. The only thing left is choice A.

Side note: The answer in interval notation is [tex](-\infty, 2] \cup [5, \infty)[/tex] so basically it's everything but values between 2 and 5; however, x = 2 and x = 5 are part of the solution set.

Another side note: if you flip the inequality sign from [tex]\ge[/tex] to [tex]\le[/tex], then the answer would be choice C.

Answer:

the first one: 24.8

the second one: 2012

24Answer:

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

looked on photomath

Answer:

c because each island is 750 and if you x's 4 x750 it gives you 3,000 which is c

Answer:

C.

3,000 miles

Step-by-step explanation:

pls, tell me if wrong have a good night/day <3

Answer:

cube

Step-by-step explanation:

The shape in the middle of the two rectangular prism would be a cube. This is the case since the angle at the base of the rectanglular prism forms a 90-degree angle. This indicates that the line is a straight line and would also form a 90-degree angle with the bottom angles as well. This would ultimately indicate that it forms a square, and since the shape is a 3-Dimensional shape it would be classified as a cube in this image.

Answer:

Triangular Prism

Step-by-step explanation:

The middle shape is a rectangular prism.

The top and bottom is a Triangular Prism.

Answer:

She can only buy 12 centerpieces.

Step-by-step explanation:

To solve this question, we must first create an expression. We know that the total would be $1000. The delivery is included in that budget and it is a constant. EACH centerpiece is $80. From that information, you can build an expression.

80c + 35 = 1000

-------------------------------------

Next, you will need to solve for c, or any variable you choose. If you solve it, you will be left with:

c= 12.06

--------------------------------------

Since you cannot buy a fraction of a centerpiece, this concludes that the answer would be 12.

Good Luck!!

Brainliest?

Answer:

40

Step-by-step explanation:

(120 - 40)/2 = 80/2 = 40

Answer:

25

Step-by-step explanation:

Okay we know the length is 5 inches if this is a square then the width is 5 inches as well. This is because 5 x 5 = 25

Answer:

equal the 4 sides

Step-by-step explanation:

Rectangle area = length × width

Rectangle area = ( 7x - 2 )( 3x + 4 )

Rectangle area = 21x^2 + 22x - 8

Thus the correct answer is option D .

Answer:

y = 2

Step-by-step explanation:

The way you solve this is you transform it until one side of the equation is just "y"

3y + 2 = 8   ;    subtract 2 from both sides

3y = 6   ;     divide both sides by 3

y = 2

Answer:

10 ≥ 2(2.99) + 0.67b  

10 ≥ 5.98 + 0.67b

4.02 ≥ 0.67b

6 ≥ b

David can buy 6 pounds of bananas at most.

Step-by-step explanation:

Its A OR B

make me brainest please

Answer:

136

Step-by-step explanation:

Answer:

136

step by step explanation