The ratio of guppies to angelfish in a shop is 2 : 3. The number of angelfish was 23the number of goldfish. The shopkeeper decided to replace 14of the guppies with some angelfish. The number of angelfish she added was equal to the number of guppies she replaced. There were 30 more goldfish than angelfish in the end. How many guppies were in the shop in the beginning?

Answer:

a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x)

Step-by-step explanation:

To know the relation between the minima of the functions you calculate the minima by using the derivative:

[tex]f'(x)=2x\\\\g'(x)=2(x+1)\\\\h'(x)=2(x+3)[/tex]

to find the values of x you equal the derivative of the function to zero:

[tex]f'(x)=0;\ x=0;\\\\g'(x)=0; \ x=-1;\\\\h'(x)=0;\ x=-3;[/tex]

by evaluating this values of x you obtain the coordinates of the minima:

[tex]f(0)=0\\\\g(-1)=-2\\\\h(-3)=4[/tex]

hence, the coordinates will be:

f -> (0,0)

g -> (-1,-2)

h -> (-3,4)

hence, the relation is:

a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x).

Answer:

1.25 ft long

Step-by-step explanation:

Answer:

6.66 in

Step-by-step explanation:

2/3 of 10 inches is

6.66

Answer:

He can write 2125 words

Step-by-step explanation:

We can use a ratio to solve

1275 words          x word

------------------- = ------------

3 pages                5 pages

Using cross products

1275* 5 = 3x

Divide each side by 3

1275*5/3 = 3x/3

2125 =x

He can write 2125 words

Answer:

2,125 words

Step-by-step explanation:

1275/3  = 425 words per page

425 * 5 = 2,125 words

Answer:

x² - 6x + 9

Step-by-step explanation:

(x - 3)² = x² - 6x + 9

Yes; Haley will need __42__ ounces of cat food for 7 days. Since 3 pounds is equivalent to__48__ ounces, and 48 ounces is greater than __42__ ounces ,she __will__ have enough food.

Answer:

Step-by-step explanation:

Given that the wavelengths for X-rays with frequency [tex]3\times 10^{18}[/tex]

The distance between two peaks in a wave is called the wavelength.

The value of wavelength is equal to the wave velocity divided by the frequency.

That is written by

[tex]Wavelength=\lambda =\frac{v}{f}[/tex]

[tex]Wavelength =\frac{3\times 10^8}{3\times 10^{18}}[/tex]

[tex]=\frac{10^8}{10^{18}}[/tex]

[tex]=\frac{1}{10^{18}.10^{-8}}[/tex] (by using the property [tex]a^m=\frac{1}{a^{-m}}[/tex])

[tex]=\frac{1}{10^{18-8}}[/tex] (by using the property [tex]a^m.a^n=a^{m+n}[/tex])

[tex]=\frac{1}{10^{10}}[/tex]

[tex]=1\times 10^{-10}[/tex] m (by using the property [tex]\frac{1}{a^{m}}=a^{-m}[/tex])

Answer:

a. 1 × 10^–10 m

Step-by-step explanation:

Answer:

(x - 3)² + (y + 1.5)² = 15.25

Step-by-step explanation:

Centre: midpoint of the diameter

(h,k) = (0+6)/2, (1-4)/2

= (3, -3/2)

Radius = ½(diameter)

Diameter = sqrt(6² + (-4-1)²)

sqrt(61)

Radius = sqrt(61)/2

Equation:

(x - h)² + (y - k)² = r²

(x - 3)² + (y + 1.5)² = 15.25

Answer:

75%

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

angles x and 133 are supplementary, so they add up to 180°

subtract 133 from 180 to get 47

Answer:A: last option

B: second option

C: third option

D: first option

Step-by-step explanation:

Nerve cells ( neurones )

The nervous system is made up of nerve cells called neurons. Most body cells are round but neurones are not. They are stretched out into long thin fibres that can be over a meter long. Nerve impulses travel along nerve fibre in only one direction. It's function is to carry nerve impulses.

Hope this helps you !!!!!

Real answer: A. Dendrites :Receive

messages

B. Axon : Conduct.

messages

C. Synaptic knob : they sent message to another neurones

Hope this helps you !!!!!

Answer:

  Door 3  diagonal 3√10 feet

Step-by-step explanation:

The diagonal of a rectangle is the hypotenuse of a right triangle whose legs are the side lengths of the rectangle. That is, the diagonal of a 9 ft by 3 ft rectangle will have length ...

  d = √(9² +3²) = √90 = 3√10

Any "9 ft by 3 ft" figure that has a diagonal different from this is not a rectangle. To fit the rectangular opening, we want a rectangular door—one with a diagonal of 3√10 feet.

Answer:

Door 2

Step-by-step explanation:

Answer:

a square i believe so I'm not sure

Answer: ist B, rectangular pyramid

Step-by-step explanation:

I what the other guy said and it was wrong.

Answer:

B, D, G

Step-by-step explanation:

I just took the test on edg.

Answer:

he is correct on edge

Step-by-step explanation:

Answer: B

Step-by-step explanation:

X axis only

The graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only

In mathematics, symmetry has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling.

A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense related.

Here,

The graph of r = -3 + 5cosθ is symmetric about the x axis only

Also when we plot the graph we can say that it is symmetric about x axis only.

Hence, the graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only

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Answer:

i think it is th 3rd one

Step-by-step explanation:

Answer:

the answer is c)y=4/3x-6

Step-by-step explanation:

yayayayyayaya

Answer:

1 = x and -2 = y

I am fairly happy with this answer

Answer:

0=7 just did it

Step-by-step explanation:

Answer:

$464

Step-by-step explanation:

Including 16% trip, she pays

100+16 = 116% of the cost

116/100 × 400

= 464

Answer:

Mary pay the movers $464.

400 x 0.16 = 64

400 + 64 = 464

2 + 8 + 5 = 15 total candy bars.

8 twix, so picking a twix would be 8/15

5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3

Probability of both: 8/15 x 1/3 = 8/45

Answer:

Step-by-step explanation:

Changing the "a" value changes x-intercepts because when you distribute the "a" value to the binomials or the factored pairs to the right then the suitable x value which makes the quadratic equation also changes.

Answer:

The final price with tax is 15,921.75‬, and the total tax added was 971.75‬

Step-by-step explanation:

To find the final cost, you multiply the cost of the product by the tax rate plus one.

For this problem, you multiply 14,950 by (0.065 + 1) to get the answer

Answer:

$15,921.75

Step-by-step explanation:

1. Multiply the cost of the car by the sales tax rate.

14950*.65= 971.75

2. Then add this amout to the original cost of the car.

14950 + 971.75= $15,921.15

Step-by-step explanation:

Multiply one of them by each of the terms in the other, then distribute.  Finally, combine like terms.

(ax + b) (cx² + dx + e)

ax (cx² + dx + e) + b (cx² + dx + e)

acx³ + adx² + aex + bcx² + bdx + be

acx³ + (ad+bc) x² + (ae+bd)x + be

Answer:

The marginal-cost function is;

c'(x)= (20x-1)/(2√(400 + 10x² - x))

Completed question;

The cost of producing x bags of dog food is given by C(x) = 800 + √(400 + 10x² - x) where 0≤x≤55000. Find the marginal-cost function.

The marginal-cost function is c'(x)=

(Use integers or fractions for any numbers in the expression.)

Step-by-step explanation:

The marginal-cost function is c'(x)= = dC(x)/dx

Where;

C(x) = 800 + √(400 + 10x² - x)

c'(x) = d(800 + √(400 + 10x² - x) )/dx

Using function of function rule of differentiation or chain rule;

c'(x) = (20x-1)×(1/2√(400 + 10x² - x))

c'(x) = (20x-1)/(2√(400 + 10x² - x))

The marginal-cost function is;

c'(x)= (20x-1)/(2√(400 + 10x² - x))

Final answer:

The marginal-cost function c'(x) is 9.

Explanation:

Marginal-cost function:

Given cost function: C(x) = 800 + 400 + 10x - x

Find derivative of C(x): C'(x) = 10 - 1 = 9

Therefore, the marginal-cost function is c'(x) = 9

Answer:

Well, if you substitute 2 and 6 on the first expression, the answer you get when x=2 is half of what you get when x=6

But for the second expression, the answers are not equivalent

Answer:

If both expressions have the same value after substituting and simplifying for x = 6 and x = 2, then they are equivalent. The value of both expressions is 15 when x = 6. The value of both expressions is 7 when x = 2. So, the expressions are equivalent

Step-by-step explanation:

for the people who has ads

The answer is most likely:

B) Quad. 2                                                      

Answer:

37 Degrees

Step-by-step explanation:

Manipulate the triangle so angle A measures approximately 92°.

Manipulate the triangle so angle B measures approximately 51°.

Notice the straight line p.

What must the measurement of angle C be for p to remain a straight line?

Angle C should measure approximately 37 Degrees

There is angle C should measure approximately 37° for line p to remain a straight line.

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

As we know that a straight line, the sum of the angles is equal to 180°.

So, when angle A measures approximately 92° and angle B measures approximately 51°,

Then, the measurement of angle C must be 180° - 92° - 51° = 37° in order to keep line p a straight line.

Thus, angle C should measure approximately 37° for line p to remain a straight line.

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Answer:

X = -1/3, 1/3

Step-by-step explanation:

6x^2 - x = 1

(subtract 1 from both sides)

6x^2 - x - 1 = 0

(factor)

(6x - 3) (6x + 2)

(simplify)

(2x - 1) (3x + 1)

(Solve for x in each parentheses)

2x-1= 0 and 3x+1=0

X= -1/2 X= -1/3

Answer:

x=-1/2,-1/3

Step-by-step explanation:

6x²-x = 1 <- Rewrite

       -1  -1 <- Subtract 1 from both sides

6x²-x-1 = 0

x²-x-6 = 0 <- Slide the x²'s coefficient over to the variable with no coefficient through multiplication

(x-3)(x+2)=0 <- Factor

(x-3/6)(x+2/6)=0 <- Divide the 6 back out and simplify

(x-1/2)(x+1/3)=0 <- Simplify

(2x-1)(3x+1)=0 <Bring the denominator in front of the x

2x+1 = 0 and 3x+1 = 0 <- Seperate the two and solve

    -1    -1             -1    -1

  2x = -1 and      3x = -1

   x = -1/2 and      x = -1/3

so

x=-1/2,-1/3

Answer:

The answer is rotation.

a)this is an arithmetic series

equation: 10+(n-1)d=360

note: 6hrs=60x6=360minuites

(b) 10+(n-1)d=360

n= no of days

d=common difference=2minutes

10+(n-1)2=360

(n-1)2=360-10

n-1=350/2

n-1=175

n=175+1

n=176

Answer:

a. 0.4333

b. 255

Step-by-step explanation:

The maximum Error E is 1.3

approximately normal test scores,

Standard Deviation, SD is 6.5

a).

Level of confidence = 99.7%

critical value of z for a two tailed test and 0.3% level of significance is 3

since the sample mean is within 0.5 of the true population mean

hence, the standard dev of mean is given by

[tex]Z_{\alpha}[\frac{\sigma}{\sqrt{n}} ]=E[/tex]

where E = 1.3

[tex]Z_{\alpha}=[/tex] 1.3

[tex]\frac{\sigma}{\sqrt{n}} =\frac{E}{Z_{\alpha}} \\\\\frac{\sigma}{\sqrt{n}} =\frac{1.3}{3}[/tex]

hence the Std of the mean is 0.4333 (to 4 d.p.)

b).

The sample size is computed as follows

making n the subject of formular of the above equation

[tex]\sqrt{n} =\frac{3\sigma}{1.3}} \\\\\sqrt{n} =\frac{3\times 6.5}{1.3}} \\\\n=(\frac{3\times 6.5}{1.3}})^2[/tex]

hence,

n = 255