What is the solution to the system of equations graphed below?

Answer:

A = 1/2 B H       area = 1/2 base X height

B = 2 A / H = 2 * 99 / 12 = 16.5 cm

dA / d t = 1/2 * (B dH / dt + H dB / dt)

dB / dt = (2 dA / dt - B dH / dt) / H

dB / dt = (2 * 1.5 cm^2 / min - 16.5 cm * 2 cm / min) / 12 cm

dB / dt = (3 - 33) / 12 cm/min = -2.5 cm/min

Answer:

The graph is attached below.

Step-by-step explanation:

The volume of the box containing the coffee mugs is,

[tex]V=x^{3}[/tex]

Then the function representing the side length, in inches, for the box is:

[tex]g(x)=x[/tex]

Now, it is provided that the company decides to double the volume of the box.

That is, the new volume will be:

[tex]V_{n}=2x^{3}[/tex]

Then the side length, in inches, for the box will be:

[tex]g_{n}(x)=\sqrt[3]{2x^{3}} =\sqrt[3]{2}x[/tex]

Then the graph representing the function, formed using the following points is:

[tex]x\ \ \ \ \ \ \ \ \ g_{n}(x)\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\0\ \ \ \ \ \ \ \ \ \ \ 0\\1\ \ \ \ \ \ \ \ \ \ \ 2^{1/3}[/tex]

Answer:

c

Step-by-step explanation:

it's 1 beacuse the exponent has no power so its 1

The correct answer from the given matrix shows that the value of a12 is 1

This refers to a rectangular array of numbers that is arranged in rows and columns to indicate a mathematical property.

Hence, we can see that from the matrix given, we can see that there are different values for each one and to find a12, we can see that because there is no power in the exponent, the answer is 1.

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Answer:

-39/15

Step-by-step explanation:

=-8/5-4/3+1/3

Taking LCM of 5,3 and 3.

=3(-8)-5(4)+5(1)/15

=-24-20+5/15

=-44+5/15

=-39/15

Note:if you need to ask any question please let me know.

Answer: Choice D

0.135, 1.35, 1.352, 13.5

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

Explanation:

Ascending order means "smallest to largest"

The smallest item is 0.135, then we move to 1.35, then to 1.352, and finally 13.5

The reason why 1.35 is smaller than 1.352 is to think of the first value is 1.350; then note how 350 is smaller than 352.

Answer:

see explanation

Step-by-step explanation:

If (2x + 1) is a factor then x = - [tex]\frac{1}{2}[/tex] is a root and P(- [tex]\frac{1}{2}[/tex] ) = 0 ← Factor theorem

P(- [tex]\frac{1}{2}[/tex] )

= 2(- [tex]\frac{1}{2}[/tex] )³ - 11(- [tex]\frac{1}{2}[/tex] )² - 4(- [tex]\frac{1}{2}[/tex] ) + 1

= - [tex]\frac{1}{4}[/tex] - [tex]\frac{11}{4}[/tex] + 2 + 1

= - [tex]\frac{12}{4}[/tex] + 3

= - 3 + 3

= 0

Since P(- [tex]\frac{1}{2}[/tex] ) = 0 then g(x) is a factor of P(x)

Answer:

Add a zero to the remainder and a decimal point in the quotient. Then we can continue to divide decimals. We divide 64 by 5 and obtain 12 as a quotient and 4 as a remainder. Since the remainder is not zero, we can continue to get a decimal answer by adding a decimal point in the quotient and a zero to the remainder

Step-by-step explanation:

Answer:

2nd answer

Step-by-step explanation:

4x^3+2

4*(-1)^3+2

4*(-1)+2

-4+2

-2

Answer: -2

Step-by-step explanation:

Replacing x for -1 would make the equation [tex]4(-1^3)+2[/tex]. Knowing PEMDAS, we know that the parentheses goes first. [tex]-1^3[/tex] means that we need to multiply -1 by itself 3 times ([tex]-1*-1*-1[/tex],  * equals "times"). [tex]-1*-1=1[/tex] so [tex]1*-1=-1[/tex]. Now our equation is [tex]4(-1)+2[/tex].    [tex]4*-1=-1[/tex] and -4 + 2 = -2. Hope this explanation helps :)

Answer:

Confidence interval for the population mean is between 15 homes and 19 homes

Step-by-step explanation:

Given that:

Sample (n) = 17 homes, mean (μ) = 19 homes, standard deviation (σ)= 4 people and confidence (C) = 98% = 0.98

α = 1 - C = 1 - 0.98 = 0.02

α/2 = 0.02/2 = 0.01.

The z score of 0.01 (α/2) corresponds to the z score of 0.49 (0.5 - 0.01) which from the normal distribution table is 2.33

The margin of error (E) is:

[tex]E=z_{0.01}*\frac{\sigma}{\sqrt{n} } =2.33*\frac{4}{\sqrt{19} }=2[/tex]

The confidence interval = μ ± E = 17 ± 2 = (15, 19)

Confidence interval for the population mean is between 15 homes and 19 homes

Answer:

[tex]\displaystyle 7 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle 24 = [3 + x] + 2x → 24 = 3 + 3x → \frac{21}{3} = \frac{3x}{3} \\ \\ 7 = x[/tex]

I am joyous to assist you at any time.

Answer:

hey mate

surface area of cuboid is 2(lh+bh+hl)

doing for first cuboid

h = 20

l = 6

b = 5

surface area for this cuboid on calculating u get 500 sq.cm

now

second cuboid

h = 12

l = 6

b = 4

calculaye it by formula and u get 288 sq.cm

so total surface area is 500 + 288 = 788 but in this one side is getting counted 2 times which is rectangle with length 6 and 12 so it's area is 12×6 = 72

final ans = 788-72 = 716 cm2

as per me that's ans

brinliest pls

Answer:

6 (2 x + 1)

Step-by-step explanation:

Simplify the following:

4 (3 x + 2) - 2

Hint: | Distribute 4 over 3 x + 2.

4 (3 x + 2) = 12 x + 8:

12 x + 8 - 2

Hint: | Group like terms in 8 + 12 x - 2.

Grouping like terms, 8 + 12 x - 2 = 12 x + (8 - 2):

12 x + (8 - 2)

Hint: | Subtract 2 from 8.

8 - 2 = 6:

12 x + 6

Hint: | Factor out the greatest common divisor of the coefficients of 12 x + 6.

Factor 6 out of 12 x + 6:

Answer: 6 (2 x + 1)

You can pick one or the other to have as your answer

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

Explanation:

The formula you use is

A = pi*r^2

The radius is r = d/2 = 10/2 = 5

So,

A = pi*r^2 = pi*5^2 = pi*25 = 25pi

is the exact area

Replace pi with 3.14 to get 25*pi = 25*3.14 = 78.5

which is the approximate area

To get a better approximation, you would use more decimal digits of pi.

Answer:

Step-by-step explanation:

We don't know if the number can start with a 0 or 1. Since we don't know, I will assume the number can start with either. The restriction is on 6s.

The way this is worded, I'm not sure if the digits can be repeated or not. It sounds like they can.

9 * 9 * 9 * 9 * 9 * 9 = 531441

If you are not allowed to repeat and no digit is a 6 then you get

9 *8 * 7 * 6 * 5*4 = 60480

Answer:

x = -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

-1/4 (x+2)+5=-x

-1/4x-1/2+5=-x

-1/4x+4.5=-x

+1/4x          +1/4x

(4/3) 4.5=-3/4x (4/3)

6=x

x=6

Answer:

2

Step-by-step explanation:

(2-2)x = 8

(0)x = 8

x = 8/0

no solution

The value of "b" that would result in the equation having no solution is A) 2.

To determine the value of "b" that would result in the given equation having no solution, we need to look at the coefficient of "x" in the equation (b - 2) and the constant term on the other side (8).

The equation is: (b - 2)x = 8

For the equation to have no solution, the coefficient of "x" (b - 2) must be 0. This is because when you multiply any number by 0, the result is always 0, meaning the left-hand side of the equation becomes 0x, which simplifies to 0. However, the right-hand side is 8, and 0 is never equal to 8.

Therefore, to make (b - 2) equal to 0, we can set:

b - 2 = 0

Adding 2 to both sides:

b = 2

So, the value of "b" that would result in the equation having no solution is A) 2.

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Answer:

-32x-60y+1122=0

-(32x+60y-1122)=0

32x+60y-1122=0

by factorize

Answer:

24,30

Step-by-step explanation:

Answer:

213.3

Step-by-step explanation:

The volume of a pyramid is 1/3 base times height.

Using this formula, our square base is 8*8, or 64 square units.

Multiplying that by the height, 10. We get 64*10, 640.

Finally dividing by 3, we have 213.3333333333...

Rounding that to the nearest tenth, 213.3.

The volume of the given square pyramid is 480 cubic centimeter.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Slant height of pyramid is 10 cm and base is 8 cm.

The volume of square based pyramid =a²h/3.

Now, volume = (8²×10)/3

= 213.33 cubic centimeter

Therefore, the volume of a square pyramid is 213.33 cubic centimeter.

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Answer:

R= (-9, -10) S=(-1,-10) T=(-1, -8) U=(-9, -8)

Step-by-step explanation:

There isn't really an explanation it's just reading the points on the graph. Hope this helps!! :)

Answer:

Charlie is the right person.

Step-by-step explanation:

The right person is Charlie because he was sure of what he was saying. Others were not sure making them mention two textbooks while Danny didn't answer the question Tony asked because he was talking about the one that doesn't have the solution.

Answer:

[tex]\huge\boxed{A)\ 7.618\times10^{-6}}[/tex]

Step-by-step explanation:

The scientific notation:

[tex]a\cdot10^n[/tex]

where

[tex]1\leq a<10;\ n\in\mathbb{Z}[/tex]

We have

[tex]761.8\times10^{-8}[/tex]

We need to move the decimal point two places to the left.

[tex]\underbrace{(7.618\times10^2)}_{=761.8}\times10^{-8}=7.618\times(10^2\times10^{-8})[/tex]

use

[tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex]=7.618\times10^{2+(-8)}=7.618\times10^{-6}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

52-4=48

hope this helps

Answer:

$18

Step-by-step explanation:

$18.02 rounds to $18

Answer:

  $17

Step-by-step explanation:

Rounded, the listed numbers are ...

  12 + 5 -1 +3 -2 = 17

The estimate of total cost is $17.

Answer:

x < 4

Step-by-step explanation:

|x+3| >2x-1 [|a| is the absolute value of a]

x+3 > 2x-1

4 > x

Therefore,

x < 4

The negative case doesn't have equal RHS and LHS so, it isn't valid.

Answer:

Purchasing rate = ₹45 per kg

Profit percent = 33.33%

Step-by-step explanation:

Selling price of 1 kg fruit = ₹60

Therefore, S. P. of 40 kg fruits = 40*60 = ₹2400

Gain = ₹ 600 (given)

Cost price (C. P.) = S. P. - Gain

= ₹2400 - ₹600

= ₹ 1800

Rate of purchasing

= C. P. /quantity of fruits

= 1800/40

= ₹45 per kg

Profit percent

= (Gain* 100)/C.P.

= (600*100)/1800

= 60000/1800

=33.33%

Step-by-step explanation:

[tex]1 \div 100th[/tex]

Answer:

Brauilo is wrong because he divided by (x+1) instead of (x-1)

Step-by-step explanation:

The remainder Theorem states that

if polynomial f(x) is divided by binomial x-a, the remainder will equal f(a). The factor is positive so the binomial is the same as

which is why we divide by -1, or subsitue -1 into the equation p(x).

The remainder of a polynomial division can be gotten using remainder theorem or synthetic division.

The true statement is: Brauilo did not find the value of a, because he divided by (x+1) instead of (x-1)

From the question, we have the following parameters:

[tex]\mathbf{p(x) = x^4 +5x^3 + ax^2 - 3x + 11}[/tex]

[tex]\mathbf{Divisor =x+ 1}[/tex]

[tex]\mathbf{Remainder = 17}[/tex]

First, we set the divisor to 0.

[tex]\mathbf{Divisor =x+ 1 = 0}[/tex]

So, we have:

[tex]\mathbf{x+ 1 = 0}[/tex]

Solve for x

[tex]\mathbf{x= -1}[/tex]

The above equation means that, the value of x that will be used to test the polynomial is -1

From the question,

Hence, Braulio is incorrect, because he used the wrong value of x

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Answer:

Step-by-step explanation:

¾*90=67.5

180-67.5=112.5°

Answer:

60°

Step-by-step explanation:

You can see the explanation in the picture

Answer:

d= 6

r= 6/2

r=3

V= π. r². h

V= π . 3². 14

V= π. 9 . 14

V= π 126 cm³

V= 126 π cm³ (π not in number)

hope it helps^°^

Answer:if you use the formula it is 126 pi cm cubed

The answer is c

Step-by-step explanation:

Answer:

-25

Step-by-step explanation:

Answer:

Hey there!

When we have a^b, b is the power.

Thus, in -5^2, 2 is the power.

Let me know if this helps, or if you need more help :)