which statement is true about the potential solutions to log3(2x^4 +8x^3) -3log3x =2log3x please help!

The chart showing the quantities and prices is;

Best Deal 1

Quantity of Flour Price

3 pounds $5.25

5 pounds $9.75

7 pounds $12.60

10 pounds $14.20

12 pounds $18.24

Answer:

difference between last weeks best deal = $0.3

Step-by-step explanation:

Let's calculate the unit price for each of the quantities in the chart.

For quantity of 3 pounds;

We have; unit price = 5.25/3 = $1.75

For 5 pounds;. Unit price = 9.75/5 = $1.95

For 7 pounds; unit price = 12.6/7 = $1.8

For 10 pounds; unit price = 14.2/10 = $1.42

For 12 pounds; unit price = 18.24/14 = $1.3

Thus, last weeks best deal is the lowest = $1.3

Thus; difference between last weeks best deal is given as;

= this weeks best deal - last weeks best deal

This gives;

$1.6 - $1.3 = $0.3

Answer:

0.18

Step-by-step explanation:

Answer:

The first term of the series is 4

Step-by-step explanation:

The sum of the first  6  terms of a geometric series is  15 , 624  and the common ratio is  5 .

To find the first term, we use the formula for the sum of terms in a geometric series.

Since the common ratio of the series is greater than 1, the sum of [tex]n^{th}[/tex] term of the geometric series is;

[tex]S = \frac{a(r^n - 1)}{r - 1}[/tex]

where r = common ratio

a = first term

When S = 15,624, r = 5 and n = 6, the first term, a, will be:

[tex]15624 = \frac{a(5^6 - 1)}{5 - 1} \\\\15624 = \frac{a(15625 - 1)}{4}\\\\15624 = \frac{a(15624)}{4}\\\\a = \frac{4 * 15624}{15624}[/tex]

a = 4

The first term of the series is 4.

Answer:

Coldslaw

Step-by-step explanation:

Mia needs to tune up at least 46 bicycles at $55 each to reach her goal of $2500, as she cannot tune up a fraction of a bicycle.

To calculate the minimum number of bicycles Mia needs to tune up to reach her goal of $2500, we must divide her goal amount by the amount she earns per bicycle. Thus, the calculation is as follows:

Number of bicycles = Total goal amount / Earnings per bicycle

Number of bicycles = $2500 / $55

When we divide 2500 by 55, we get approximately 45.4545. Since Mia cannot tune up a fraction of a bicycle, she will need to tune up a whole number of bicycles. Therefore, she needs to tune up at least 46 bicycles to reach or exceed her goal of $2500.

Answer:

Melissa spent $1.90

Step-by-step explanation:

Each quarter is 25 cents. If you have 5 quarters, that would be 25 times 5. And each nickel is 5 cents, so if you have 13 nickels, then you would multiply 5 by 13. Then to get the total amount spent you would have to add the quarters and nickels. which would be 125 and 65. Every 100 is a dollar. so it would be 190, or $1.90.

Answer:

1.90

Step-by-step explanation:

Answer:

I think 3%

Step-by-step explanation:

Hope this helps:)

Answer:

33.3%

Step-by-step explanation:

I had answered another question first. This is the answer for this problem. Sorry!

hope this helps :)

Answer:

Step-by-step explanation:

6

Answer:

c

Step-by-step explanation:

Area of a circle = PI x R^2

r = 1/2 diameter

r = 21.5/2

r = 10.75

Area of circle = 3.14 x 10.75^2 = 3.14 x 115.5625 = 362.86625 square units.

A semicircle is half a circle:

Area of semicircle = 362.86625 / 2 = 181.433125 square units (round the answer as needed).

Answer:

706.5

it's saying i need to fill in twenty characters to answer

so here is my twenty characters

Answer:

[tex]706.5 {in}^{2} [/tex]

Step-by-step explanation:

[tex]area \\ = \pi {r}^{2} \\ = 3.14 \times 15 \times 15 \\ = 706.5 {in}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

1. x=10,-10

2. x = 5

x = -5

3. x=-5

4. x ∈ {4,- 3/2}

Step-by-step explanation:

Answer:

168 seconds

Step-by-step explanation:

To find out when they coincide again, the least common multiple between both numbers must be calculated:

24 14 | 2

12   7 | 2

6    7 | 2

3    7 | 3

1     7 | 7

1     1

Therefore the least common multiple is:

2 * 2 * 2 * 3 * 7 = 168

This means that they will coincide again at 168 seconds, when the first musician has struck 7 times (168/24) and the other 12 times (168/14)

Answer:

by applying Pythagoras theorem;

the ladder(13m) acts as hypotenuse

the wall (12m) acts as height

the distance between the the two is the base

therefore

a² + b² = c²

b²= c²- a²

b²= 169 - 144

b² = 25

√b² = √25

b= 5m

the distance is 5m

The parabola is passing through (0, 0) and (9, 0). Then the correct option is C.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of the parabola is given below.

y = (3/2)x² - 6x

Then the factor of the equation will be

y = 3x (x / 2 - 3)

Then the zeroes of the function will be

y = 0

x = 0, 9

Then the correct option is C.

The graph is given below.

More about the parabola link is given below.

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Answer:

0.71

Step-by-step explanation:

P(Karen wins a prize) = 5/7 = 0.71

Answer: B.Angle 7 and angle 1 are congruent.

Step-by-step explanation:

Alternate angles means that the angles are formed on the alternating sides of the transversal. The term "exterior" means that the alternate angles are formed outside the parallel lines.

Since the parallel lines are cut by a transversal and angles 1 and 7 are alternate exterior angles, it means that angles 1 and 7 are equal or congruent. This is because of the rule in geometry stating that two alternate exterior angles are congruent. Therefore, the correct option would be

B. Angle 7 and angle 1 are congruent.

Answer: The correct option is B; Angle 7 and angle 1 are congruent

Step-by-step explanation: Please refer to the picture attached for more details. The parallel lines AB and CD have been drawn and a transversal line have also been drawn to cut both lines as shown in the picture.

Since both lines are parallel, the angles formed by the transversal would be equal.

A careful observation would show that the interior angle formed by the transversal (which is the supplement of angle 120), is equal or congruent to the interior angle formed at angle 7. These are commonly referred to as "z angles" by virtue of the shape formed. Angle 1 and angle 7 are the exterior alternate angles formed by the transversal and they are both congruent, that is, they both have the same measurement.

The angles cannot be described as supplementary, because supplementary angles add up to 180 degrees. That is, if angle A plus angle B equals 180, then angles A and B are both supplementary. This does not apply to angle 1 and angle 7.

Answer:

12/91

Step-by-step explanation:

The question is not properly formatted, here is how it should be formatted.

A bag contains 6red jelly beans, 4 green jelly beans, and 4 blue jelly beans. If we choose a jelly bean, then another jelly bean without putting the first one back in the bag, what is the probability that the first jelly bean will be green and the second will be red

Step one

This is selection without replacement.

Sample space

6red jelly beans,

4 green jelly beans, and

4 blue jelly beans.

S= 6+4+4= 14

Probability that the first jelly bean will be green = 4/14= 2/7

Without replacement, Probability that the second jelly bean will be red = 6/13

Hence for the two selections the probability is= 2/7*6/13= 12/91

If 4 cakes make 32 slices, one cake will make [tex]\frac{32}{4}[/tex] = 8 slices. Therefore, 5 cakes will make (8 x 5) = 40 slices.

Answer:

You can get 40 slices from 5 cakes because each cake has 8 slices in it.

Step-by-step explanation:

Alpa must take out five T-shirts in order to be absolutely sure of having at least two T-shirts that differ only by size or by color.

The subject of this question is a probability problem, which falls under the domain of Mathematics, more specifically combinatorics. In scenarios such as this, we want to ensure we have at least two T-shirts that only differ by size or color. To guarantee this, Alpa must select one T-shirt of each color and size first. That means she must take out four T-shirts: a red small, a red large, a black small, and a black large. For the fifth T-shirt that she takes out, it will either be the same color as one she already has but different in size or it will be the same size as one she already has but a different color. So, the least number of T-shirts Alpa must take out of the bag in order to be absolutely sure of having at least two T-shirts among them that differ only by size or color is five.

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Answer:

B

Step-by-step explanation:

The highest MOC is 4 in group A but in group B the MOC is 3. So group A has one more dot than group B.

[tex]3 \div 10 \times 2 \div 9 = 1 \div 15[/tex]

the probability of drawing one dime is 3/10. if you don't replace the coin, there are only 9 left, 2 of which are dimes. so multiple the to probabilities and there you have it

Answer:

0.09

Step-by-step explanation:

Answer:

I think it's 640 i may be wrong or its 40.

Step-by-step explanation:

when finding the perimeter you just add up the outsides of the shape.

Answer:

90.24 mm

Step-by-step explanation:

Perimeter of the figure

[tex] =(20 + 20 ) + \frac{1}{2} \times 2\pi \: r \\ = (40 ) + 3.14 \times 16 \\ = 40 + 50.24 \\ = 90.24 \: mm[/tex]

Probability that Eric will pick a country CD is 0.2.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Number of CD's which are country = 4

Number of CD's which are rap = 6

Number of CD's which are pop = 10

Total number of CD's = 4 + 6 + 10 = 20

Probability = Number of likely outcomes / Total number of outcomes3

Probability of getting country CD = 4 / 20

                                                       = 1/5

                                                       = 0.2

Hence the required probability is 0.2.

To learn more about Probability, click on the link :

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Hi

15/100  =  600 / X

X =   600 *100 /15 = 4000

monthly budget =4000

Answer:

Their monthly budget is $600

Answer:

t-shirt: £5.00, hat: £2.00

Step-by-step explanation:

You can rewrite them into equations:

8t+h=42.

3t+h=17.

Then subtract the h from both equations using the elimination process.

8t-3t is 5t, and 42-17 is 25. The new equation is 5t=25, thus t=5. If we substitute the 5 into one of the other equations, we get h=2.

Answer:

T-shirt: £5

Hat: £2

Step-by-step explanation:

Use simultaneous equations elimination method for best results.

8t + h= 42

3t + h= 17

Subtract the two equations. h gets cancelled. 8t-3t= 5t. 42-17= 25.

5t= 25

t= 25÷5

t= £5

Substitute the value of t to give h.

8(5) + h=42

40+ h=42

h= 42-40

h= £2

Answer:

65

Step-by-step explanation:

The mean is 65 because

Answer:

There would be : 750 x (1 + 12.5/100)^4 = 1201.35 dollar after 4 years, with the earning is 750$ and interest rate is 12.5%.

Answer:

$1,500

Step-by-step explanation:

Interest = P × 12.5/100 × 4

750 = P × 0.5

P = 1500

Answer:

8+ (27/9)2 = 17