A quantity with an initial value of 6900 grows exponentially at a rate
of 40% every 8 hours. What is the value of the quantity after 2.75
days, to the nearest hundredth?

Answer:

d

Step-by-step explanation:

took the test

2x³ + xy and 2 + 5x - 3x³ are trinomials with degree 3.

Options C and D are the correct answer.

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

The degree of a polynomial is the highest power of the variable in the polynomial.

a.

2xy² is a monomial with degree 3 (degree of x is 1 and degree of y is 2).

b.

3x + 3x² is a binomial with degree 2 (degree of x is 2).

c.

2x³ + xy is a trinomial with degree 3 (degree of x is 3).

d.

2 + 5x - 3x³ is a trinomial with degree 3 (degree of x is 3).

Therefore,

2x³ + xy and 2 + 5x - 3x³ are trinomials with degree 3.

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9514 1404 393

Answer:

  y = 3x + 4

Step-by-step explanation:

The given line is in the form ...

  y = mx + b

where m is the slope (3) and b is the y-intercept (-1).

The parallel line will have the same slope. The given point (0, 4) is the y-intercept, so the desired equation is ...

  y = 3x +4

Answer:

378,917.15

Step-by-step explanation:

Annual compound interest formula:

[tex]AV=PV(1+i)^n\\\\AV=135000(1+.035)^{30}\\\\135000*2.8067937047=378917.15[/tex]

Answer:

answer is 7898tI don't know either thank very much for the points though

Answer:

8%

Step-by-step explanation:

Solving our equation

r = 1600 / ( 2000 × 10 ) = 0.08

r = 0.08

converting r decimal to a percentage

R = 0.08 * 100 = 8%/year

The interest rate required to

accumulate simple interest of $ 1,600.00

from a principal of $ 2,000.00

over 10 years is 8% per year.

Answer:

55

Step-by-step explanation:

g(-4)=-20-5 or -25

f(g(4)=-2(-25)+5 or 50+5

Answer:

v= -3 and v= 11

Step-by-step explanation:

v^2 - 8v -33 = 0

v^2-11v+3v-33=0

v(v-11) +3(v-11)=0

(v+3)(v-11)=0

v+3=0          and          v-11=0

v=-3                              v=11

Answer:

18.18%

Step-by-step explanation:

The percentage of sweets in the bag that are yellow is as follows:

Let us assume the number of yellow sweets be x

So for number of blue sweets be 4x

And, the number of red sweets be 0.5x

So it could be written as

Blue Red Yellow

4        0.5    1

8        1        2

So for yellow, the percentage is

= 2 ÷ (8 + 1 + 2)

= 2 ÷ 11

= 18.18%

Answer:

14

Step-by-step explanation:

Answer:

the answer is X = 14

Step-by-step explanation:

So you need to single out the X

You do this by doing the opposite of X,

right now X is being multiplied by 14

The opposite of Multiplaction is division

That means you divide X by 14

But dont forget, what you do one side you do to the other.

This means you also Divide 196 by 14

196 ÷ 14 = 14

meaning X = 14

9514 1404 393

Answer:

Step-by-step explanation:

We have to assume that the image of B is the large dot at upper right. We further have to assume that the distance between dots on the line segment is equal to CB.

The scale factor multiplies the distance from C. That distance has been multiplied by 5, so the scale factor is 5.

Answer:

All the dots need to be on the line, and maybe dont add so many dots

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don’t know

Answ

i dont know

Step-by-step explanation:

Answer:

21060

Step-by-step explanation:

19500÷100=195

195×8=1560

1560+19500=21060

Scale factor is  [tex]\frac{14}{21}[/tex].

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

Given

The rectangle on the right is a scaled copy of the rectangle on the left.

[tex]\frac{42}{63}[/tex] and 15 ÷ [tex]\frac{45}{2}[/tex]

[tex]\frac{42}{63}[/tex]

Rationalizing [tex]\frac{42}{63}[/tex] by 45

= [tex]\frac{42(45)}{63(45)}[/tex]

= [tex]\frac{1890}{2835}[/tex]

15 ÷ [tex]\frac{45}{2}[/tex]

Rationalizing 15 ÷ [tex]\frac{45}{2}[/tex] by 63

= [tex]\frac{30(63)}{45(63)}[/tex]

=  [tex]\frac{1890}{2835}[/tex]

If we want to find the scale factor we have to equal the proportions of two rectangles.

∴ Scale factor =  [tex]\frac{1890}{2835}[/tex] = [tex]\frac{14}{21}[/tex]

Hence, scale factor is  [tex]\frac{14}{21}[/tex].

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Answer:

see explanation

Step-by-step explanation:

Using the identities

tanx = [tex]\frac{sinx}{cosx}[/tex] , cotx = [tex]\frac{cosx}{sinx}[/tex]

Consider the left side

[tex]\frac{tanx}{tanx+cotx}[/tex]

= [tex]\frac{\frac{sinx}{cosx} }{\frac{sinx}{cosx}+\frac{cosx}{sinx} }[/tex]

= [tex]\frac{\frac{sinx}{cosx} }{\frac{sin^2x+cos^2x}{cosxsinx} }[/tex]

= [tex]\frac{\frac{sinx}{cosx} }{\frac{1}{cosxsinx} }[/tex]

= [tex]\frac{sinx}{cosx}[/tex] × [tex]\frac{cosxsinx}{1}[/tex] ← cancel cosx on numerator/ denominator

= sin²x

= right side

Answer:

c. 80

Step-by-step explanation:

cos x = sin(x-70)

cos x = cos [90-(x-70)]

cos x = cos (90-x +70)

cos x = cos 160 -x

x= 160-x

2x = 160

x =80

Answer:

-10x + y = 64

Step-by-step explanation:

hope it helps

Answer:

s<11

Step-by-step explanation:

44>7+s+26

Switch sides:

7+s+26<44

Group like terms:

s+7+26<44

Add the numbers:7+26=33

s+33<44

Subtract 33 from both sides:

s+33-33<44-33

Simplify:

s<11

Answer:

y=2/3x-1

Step-by-step explanation:

slope intercept form is y=mx+b

where m is the slope and b is the y-intercept

You already know that the slope is 2/3 and the intercept is -1 so all you have to do is plug it in

y=2/3x-1

Answer:

When a company borrows money it is better to have a low interest rate. The lower the interest rate, the less amount of money the company has to pay back as interest on the loan.

Step-by-step explanation:

Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?

Answer:

a) The vector equation

[tex]AB^{-} = -4i^{-} -0j^{-} -8k^{-}[/tex]

b) The vector equation

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

Step-by-step explanation:

Step(i):-

a)

Given that the points are A( 6,5,7) and B = m = 2i+5j-k

OA = 6i+5j+7k and OB = 2i+5j-k

AB = OB-OA

    =  2i+5j-k - (6i+5j+7k)

    = 2i -6i +5j-5j-k-7k

   =  [tex]-4i^{-} -0j^{-} -8k^{-}[/tex]

b)

Given that the points are A( 8,6,2) and B = (3,4,1)

OA = 8i+6j+2k and OB = 3i+4j+k

AB = OB-OA

     = 3i+4j+k -(8i+6j+2k)

    = 3i -8i +4j-6j+k-2k

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

Answer:

7869

Step-by-step explanation:

   8,328

-     459

________

    7,869

Answer:

The answer is 38.48

Step-by-step explanation:

Picture with explanation provided below.

Answer:

B

Step-by-step explanation:

A number increased by 7 means, 7 was added to the number and the result is 15

Answer:

A. 8fg + 3h

Step-by-step explanation:

[tex]4f × 2g + 3h \\ \\ = 4 \times 2 \times f \times g + 3h \\ \\ = 8fg + 3h[/tex]

Step-by-step explanation:

[tex]4f \times 2g + 3h \\ = (4 \times 2)fg + 3h \\ = 8fg + 3h \\ [/tex]

Answer:

A B and C are true

Step-by-step explanation: