Karla can buy guppies for $0.90 each at the corner pet store. If she has $13.50, how many guppies can she buy? 

Hello from MrBillDoesMath!

Answer:

31a.  2 real roots

31b   2 complex roots

Discussion:

31a.

2x^2 + 3x - 6 = 0

Using standard quadratic notation, the above equation has a  = 2, b = 3 and c = -6. The discriminant is given by b^2 - 4ac, which is

3^2 - 4*2*(-6) = 9 + 48 = 57 > 0, so the quadratic has 2 real roots

31b.

The equation is equivalent to  16x^2 + 10x  +3 = 0. Its discriminant is

10^2 - 4 * (16) * (3) = 100 - 192 = -92 so this equation has two complex roots

Regards,  

MrB

Answer:

50 lbs

Step-by-step explanation:

Jack picked 100 lbs of cranberries. If fresh cranberries have 99% of water, then in 100 lbs of cranberries there are 99 lbs of water and 1 lb of "cranberries".

After being dried this 1 lb of "cranberries" form 2% and the rest 98% is the water. Let the weight of the dried cranberries be x lbs, then

x lbs - 100 %,

1 lb - 2 %.

Therefore,

[tex]\dfrac{x}{1}=\dfrac{100}{2},\\ \\x=\dfrac{1\cdot 100}{2}=50\ lbs.[/tex]

The cranberries, starting at 100 lbs with 99% water content, will reduce to 50 lbs after drying, at which point they have 98% water content. The substance weight shouldn't change being 1 lb as only the water content has changed.

The subject of your question falls under the category of Mathematics, specifically in Percentage and Weight Change. Given that fresh cranberries have 99% water and you started with 100 lbs, then only 1% of this weight, or 1 lb, is non-water content. This is the weight of cranberries' substance that doesn't change during drying.

The partially dried cranberries are 98% water. So the question is 'What weight would give us 1 lb as 2% (100%-98%=2%) of this weight?' The answer is 1 lb divided by 2% (or 1lb/0.02) which gives us 50 lbs. So, the cranberries will weigh 50 lbs after drying.

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Answer:

Number 95 is bigger than number 85.

Step-by-step explanation:

If we want to find which number is the bigger one; we subtract the numbers in  two orders:

95 - 85 = 10

and

85 - 95 = -10

Since the first order (95 - 85) gives a positive answer;

Then it implies that number 95 is bigger than number 85.

Since the second order (85 - 95) gives a negative answer;

Then it implies that number 85 is smaller than number 95.

Answer:

the answer is 77a8b7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I took the test

[tex]z_0=3-2i\\\\z_{n+1}=2z_n+i\\\\z_1=z_{0+1}=2z_0+i\to z_1=2(3-2i)+i=6-4i+i=6-3i\\\\z_2=z_{1+1}=2z_1+i\to z_2=2(6-3i)+i=12-6i+i=12-5i\\\\z_3=z_2+1}=2z_2+i\to z_3=2(12-5i)+i=24-10i+i=24-9i\\\\Answer:\ \boxed{6-3i;\ 12-5i;\ 24-9i}[/tex]

Answer:

r>0 and V(r)>0

Step-by-step explanation:

Number one: There arent no negative volumes

Number two: There aren't Negative radi

Thus V(r) and r must be greater than one. I attach the graph V(r)=5 Pi r^2

The domain would be (0,infinity)

The range would be (0, infinity)

The domain of a function is [tex]$r \geq 0$[/tex] and range of a function is [tex]$V(r) \geq 0$[/tex].

The formula for the volume of a cylinder with a height of 5 units is:

[tex]V(r)=5 \pi r^{2}$$[/tex]

Where [tex]$\mathrm{r}$[/tex] is the radius of the cylinder and [tex]$\mathrm{r}$[/tex] cannot be in negative

Let [tex]$r \geq 0$[/tex] here, [tex]$\mathbf{r}$[/tex] is the independent variable and [tex]$\mathbf{V}(\mathbf{r})$[/tex] is the dependent variable by definition of domain and range.

The domain of the given function is: [tex]$r \geq 0$[/tex] or in the interval [tex]$=[0, \infty)$[/tex]

The range of the function [tex]$(\mathrm{V}(\mathrm{r}))$[/tex] is: [tex][0, \infty)$$[/tex].

Therefore the correct answer is r > 0, V(r) > 0.

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Answer:

The jar of chermical contains 66g of Zinc.

Step-by-step explanation:

The ratio of Zinc to Copper is 3 : 13

A jar of the chemical contains 286g of copper.

Let the mass of the Zinc be xg.

[tex]\frac{13}{3}[/tex] = [tex]\frac{286}{x}[/tex]

x = [tex]\frac{3 × 286}{13}[/tex] = 66g

So the jar of chemical contains 66g of Zinc.

To determine the grams of zinc in a jar of a chemical with a zinc to copper ratio of 3 to 13 and 286 grams of copper present, calculate the value of one part in the ratio (286 grams / 13) and multiply by the number of parts of zinc (3), resulting in 66 grams of zinc.

The student wants to find out how many grams of zinc are in a jar of chemical, given that the ratio of zinc to copper is 3 to 13 and there are 286 grams of copper. To solve this, we can use the concept of ratios. The ratio of zinc to copper is 3:13, which means for every 3 parts of zinc, there are 13 parts of copper.

First, let's find the value of one 'part' in the ratio by dividing the total amount of copper (286 grams) by 13 parts:

1 part = 286 grams / 13 = 22 grams

Now, to find the amount of zinc, we multiple the number of zinc parts (3) by the weight of one part (22 grams):

Amount of zinc = 3 parts / 22 grams per part = 66 grams

So, the jar contains 66 grams of zinc.

Answer: The three sides are 14, 14, 20

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

x = length of the two equal sides

x+6 = length of the third longer side

add up the three lengths x, x, x+6. Set it equal to the perimeter 48. Solve for x

x+x+x+6 = 48

3x+6 = 48

3x+6-6 = 48-6 ... subtract 6 from both sides

3x = 42

3x/3 = 42/3 ... divide both sides by 3

x = 14

If x = 14, then x+6 = 14+6 = 20

The three sides are 14, 14, 20

We can check this by adding up the three sides 14+14+20 = 28+20 = 48 and we get the right perimeter.

Answer:

64pi

Step-by-step explanation:

So the volume of a sphere is 4/3pi r^3. So the total area would be 6*4/3*8*pi. So that’s 64pi.

Answer:

201.06 cubic centimeters.

Step-by-step explanation:

Hello

I think   I can help you with this

the volume of a sphere is given by:

[tex]V=\frac{4*\pi*r^{3}  }{3}[/tex]

where r is the radius of the sphere

to solve this question you just have to put the values into the formula and multiply by the number of spheres in the  ice cube tray

Let

the number of spheres in the  ice cube tray=6

radius =  2 cm

the total volume is

[tex]V=6*(\frac{4*\pi*r^{3} }{3})\\V=6*(\frac{4*\pi*(2cm)^{3} }{3})\\v=\frac{192\pi }{3} \\v=201.06\ cubic\ centimeters[/tex]

Have a good day.

The next number in the sequence 16, 4, 20, 24, 44 is 68 and in the sequence 6, 5, 15, 10, 70 is 61.

A sequence's series is the total number of terms in the sequence.

A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.

Now the given series are,

16, 4, 20, 24, 44

and 6, 5, 15, 10, 70

Now the difference between the two terms of the series 16, 4, 20, 24, 44

4 - 16 = 12 = 4*3

20 - 4 = 16 = 4*4

24- 20 = 4 = 4*1

44 - 24 = 20 = 4*5

So let x be the next term; hence it can be written as

x - 44 = 4*6

x = 24 + 44

x = 68

Now for the series 6, 5, 15, 10, 70, it is an alternative series,

6 - 1 = 5

5 x 3 = 15

15 - 5 = 10

10 x 7 = 70

So the next term is given as,

70 - 9 = 61

Hence, The next number in the sequence 16, 4, 20, 24, 44 is 68 and in the sequence 6, 5, 15, 10, 70 is 61.

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Hey there!

[tex](3^2)^2[/tex] [tex]*[/tex] [tex](10^3)^2[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer:

81000000

Step-by-step explanation:

(3^2)^2 x (10^3)^2

PEMDAS says do what is inside the parentheses first

3^2 = 9

10^3 = 1000

3^2)^2 x (10^3)^2

9^2 * 1000^2

Now we need to do the exponents

81 * 1000000

Mow we multiply

81000000

Answer:

the answer here is B

Step-by-step explanation:

Step  1  :

           b10

Simplify   ———

           b2  

Dividing exponential expressions :

1.1    b10 divided by b2 = b(10 - 2) = b8

Final result :

 b8

Answer:

B)  [tex]b^{8}[/tex].

Step-by-step explanation:

Given  : [tex]\frac{b^{10}}{b^{2}}[/tex].

To find : simplify.

Solution : We have given  [tex]\frac{b^{10}}{b^{2}}[/tex].

By the quotient property of exponential  :  [tex]\frac{x^{a}}{x^{c}} = x ^{a -c}[/tex].

Here , x = b , a = 10 , c = 2.

[tex]\frac{b^{10}}{b^{2}}[/tex] = [tex]b^{10 -2}[/tex].

[tex]\frac{b^{10}}{b^{2}}[/tex] =  [tex]b^{8}[/tex].

Therefore, B)  [tex]b^{8}[/tex].

[tex]12x+4>16\qquad\text{subtract 4 from both sides}\\\\12x>12\qquad\text{divide both sides by 12}\\\\\boxed{x>1}\\\\or\\\\3x-5<-14\qquad\text{add 5 to both sides}\\\\3x<-9\qquad\text{divide both sides by 3}\\\\\boxed{x<-3}\\\\Answer:\ \boxed{x<-3\ or\ x>1}[/tex]

The inequalities 12x + 4 > 16 and 3x - 5 < -14 simplify to x > 1 and x < -3 respectively. In graphical form, both inequalities represent lines extending from the points x = 1 and x = -3, with x > 1 going towards the right and x < -3 moving leftward.

To solve this inequality problem, we first isolate the variable on one side of the inequality for both expressions. Let's begin with 12x + 4 > 16. We can start by subtracting 4 from both sides to get 12x > 12, then divide each side by 12, resulting in x > 1.

Solve 12x + 4 > 16:

Subtract 4 from both sides to isolate 12x:

12x > 16 - 4

12x > 12

Divide both sides by 12:

x > 1

Solve 3x - 5 < -14:

Add 5 to both sides to isolate 3x:

3x < -14 + 5

3x < -9

Divide both sides by 3:

x < -3

Now, you have two separate solutions:

For the first inequality, x > 1.

For the second inequality, x < -3.

This means the solution graph includes all values of x that are greater than 1 or less than -3. In graphical terms, it's the union of two intervals:

Solution Graph: (-∞, -3) ∪ (1, ∞)

This represents all real numbers less than -3 and all real numbers greater than 1.

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Answer:

the correct answer would be b)8.2

Step-by-step explanation:

The correct answer is C

For each bolt used, the number of cracks decreased by an average of [tex]\frac{1}{2}[/tex].

Scatterplot:

'A scatter plot is a type of plot or mathematical diagram that uses Cartesian coordinates to display values for typically two variables for a set of data.'

According to the given problem,

The line in the scatterplot has two points, (2,8) , (8,5)

Let (2,8) be ([tex]x_{1},y_{1}[/tex]) and (8,5) be ([tex]x_{2},y_{2}[/tex])

Finding slope:

[tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex] = [tex]\frac{5 - 8}{8-2}[/tex] = [tex]\frac{-1}{2}[/tex]

Hence, we can conclude that the number of cracks decreases by an average of half. We can conclude that its decreasing because of the negative slope.

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The pair of polygons in the image are not similar. Although they are both rectangles, they do not have the same corresponding side ratios.

A rectangle is defined by having four right angles and two pairs of parallel sides. The corresponding sides of similar rectangles are in proportion. In the image, the rectangle on the left has side lengths of 11 ft and 10 ft, while the rectangle on the right has side lengths of 9.4 ft and 8.4 ft.

The ratio of the corresponding sides is not the same for both pairs of sides. The ratio of the left side lengths is 11 ft / 9.4 ft, which is about 1.17. The ratio of the right side lengths is 10 ft / 8.4 ft, which is about 1.19. Because the corresponding side ratios are not the same, the rectangles are not similar.

Here are some additional points to note:

Answer:

B

Step-by-step explanation:

= 6cos ([tex]\frac{5\pi }{6}[/tex]) + 6i sin ([tex]\frac{5\pi }{6}[/tex])

the related acute angle of [tex]\frac{5\pi }{6}[/tex] is [tex]\frac{\pi }{6}[/tex]

= - 6 cos ([tex]\frac{\pi }{6}[/tex]) + 6i sin ([tex]\frac{\pi }{6}[/tex])

= - 6 × [tex]\frac{\sqrt{3} }{2}[/tex] + 6 i × [tex]\frac{1}{2}[/tex]

= - 3[tex]\sqrt{3}[/tex] + 3i → B

[tex]49-c\leq45\qquad\text{subtract 49 from both sides}\\\\-c\leq-4\qquad\text{change the signs}\\\\\boxed{c\geq4}[/tex]

Answer: 9

Step-by-step explanation: This is the answer because you would subtract so the equation would be 24-15=9. Hope this helps!

Answer:

25.38

Step-by-step explanation:

Its a 3-D block, so you have to find the distance from on corner to the opposite corner of the roof, but first find the distance from corner to corner on the floor.

20^2+12^2=c^2

400+144=544=c^2

c=[tex]\sqrt{544}[/tex]

then find corner of floor to opposite roof corner.

100+544=644=c^2

c=[tex]\sqrt{644}[/tex]

so its about 25.38 feet

Answer:

25.4 ft  

Step-by-step explanation:

Let D1 be the distance from one corner to the diagonally opposite one and D2 be the  diagonal distance from one corner to the ceiling.

D1² = 20² + 12²

D2² = D1² + 10²            Substitute the value of D1²

D2² = 20² + 12² + 10²

D2² = 400 + 144 + 100

D2² = 644

D2 = √(644)

D2 = 2√(161)

D2 ≈ 25.4 ft

Answer:

3 2/4 is your answer.

Step-by-step explanation:

8 1/4 - 4 3/4

Subtract. Note that one whole number = 4/4 (1 = 4/4)

Now, change the first fraction by breaking down one whole number into fraction form.

8 1/4 = 7 4/4 + 1/4 = 7 5/4

Subtract.

7 5/4 - 4 3/4 = 3 2/4

3 2/4 is your answer.

~

Answer:

KJ = 6 , LW = 3 , KJ = 6

Step-by-step explanation:

Let LW be x then KJ be x + 3

In ΔKHJ and ΔLGW,

∠K = ∠L and ∠H = ∠G , So, by AA Similarity, [tex]\Delta KHJ \sim\Delta LGW[/tex]

Therefore,

[tex]\frac{8}{4}=\frac{x+3}{x} =\frac{HJ}{2.5}[/tex]

First taking,

[tex]\frac{8}{4}=\frac{x+3}{x}\\8\cdot x = 4\cdot x + 12\\4\cdot x=12\\x=3[/tex]

∴LW = 3 , KJ = 6

Now,

[tex]\frac{8}{4}=\frac{HJ}{2.5}[/tex]

⇒ HJ = 5

The unknown sides of the triangle KHJ and triangle LGW are HJ = 5, LW = 3, and KJ = 6 and this can be determined by using the given data.

Given :

Given that m∠K = m∠L, m∠H = m∠G, therefore, triangle △KHJ and △LGW are congruent to each other by AA similarity postulate.

To determine the unknown sides of the given triangles, first, let the unknown side LW be 'a' and the side KJ be 'a + 3'.

[tex]\rm \dfrac{8}{4}=\dfrac{a+3}{a}=\dfrac{HJ}{2.5}[/tex]  -----  (1)

[tex]2\times a = (a+3)\times 1[/tex]

2a = a + 3

a = 3

Put the value of 'a' in equation (1).

[tex]\rm \dfrac{3+3}{3}=\dfrac{HJ}{2.5}[/tex]

[tex]\rm 2\times 2.5 = HJ[/tex]

HJ = 5

LW = 3

KJ = 3 + 3 = 6

The unknown sides of the triangle KHJ and triangle LGW are HJ = 5, LW = 3, and KJ = 6 and this can be determined by using the given data.

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Answer:

Refer to the image attached

Step-by-step explanation:

Answer:

12 dollars

Step-by-step explanation:

"95% off" means Charlie pays 5% of the original price (5% + 95% = 100%)

5% = 5/100 = 0.05

Multiply 0.05 with the original price $240 and we get our answer to be 0.05*240 = 12

Answer: A. 7.84

Step-by-step explanation:

1. According to the problem given in the image attached, the total energy used was 98 quadrillion Btu.

2. Therefore, if you want to know how many quadrillion Btu of energy were consumed in 2010 from renewable energy sources, you must multiply the percentage given in the circle graph, as following:

[tex]8[/tex]%[tex]=0.08[/tex]

Then:

[tex]98*0.08=7.84[/tex]

3. Therefore, the answer is the option A.

Answer:

x² - 8x + 65 = 0

x² - 8x + 16 = -49

(x - 4)² = -49

x - 4 = ±7i

x = 4 ± 7i

Answer:

Price after discount = 2.4 (1-.3)

Price after discount = 2.4 (.7)

Step-by-step explanation:

We know the cost after the discount.

Price after discount = original price - original price * discount rate

Factoring out the original price

Price after discount = original price (1- discount rate)

We know the discount rate = .3 and the original price is 2.4

Price after discount = 2.4 (1-.3)

Price after discount = 2.4 (.7)

Price after discount = 1.68

Answer:

The correct answer is The second table.

Step-by-step explanation:

1x5= 5

2x5= 10

3x5= 15

4x5= 20

5x5= 25

Hope this helps!! (:

Answer:

r 5 10 15 20 25

s 1 2 3 4 5

Step-by-step explanation:

1x5= 5

2x5= 10

3x5= 15

4x5= 20

5x5= 25

Answer:

We are given eqaution: e=\frac{17}{20}d , where e the amount of euros and d is the value as U.S. Dollars.

We need to find number of euros for 1 U.S. Dollar.

Plugging d=1 in the given equation

We get

e=\frac{17}{20}(1)

On simplfying , we get

e=\frac{17}{20}

Dividing 17 by 20, we get 0.85.

Therefore, there would be 0.85 euro have the same value as 1 U.S. Dollar.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

There is missing information, the complete question is:

We can calculate e, the amount of euros that has the same value as d U.S. Dollars, using the equation [tex]e=\frac{17}{20}d[/tex], in words, e equals, start fraction, 17 divided by 20, end fraction, d. How many euros have the same value as 1 U.S. Dollar?

Basically, the problem offer a equation that allows to transform certain amount of American dollars into euros. In the expression given, e is the amount of euros and d is the amount of dollars. Now, the problem is asking how many euros would be 1 U.S. Dollar, to do that we have to use the equation and replace values:

[tex]e=\frac{17}{20}d\\e=\frac{17}{20}(1 USD)= 0.85[/tex]

Therefore, one dollar equals 0.85 euros.