Eighty percent of a number is less than 24

The solutions to the given equation are not real if the discriminant is less than zero, or 0. The solutions are complicated and there are no actual ones.

An discriminant value definition ?

The discriminant is the expression b2 - 4ac for the quadratic equation ax2 + bx + c = 0. The discriminant's value reveals how many roots f(x) has: - The quadratic function has two unique real roots if b2 - 4ac > 0, otherwise it does not. The quadratic function has one repeating real root if b2 - 4ac = 0.

The number of solutions to the given quadratic equation depends on the discriminant, which can be positive, zero, or negative. A quadratic equation with a positive discriminant has two unique real number solutions. A repeating real number solution to the quadratic equation is indicated by a discriminant of zero.

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the equation is of the form y = mx + b , therefore

Answer:

$56,226

Step-by-step explanation:

x = investment

Earning interest of 3.57% is the equivalent of multiplying the initial balance (investment) by 1.0357;

Over 20 years, the new balance can be found by multiplying the initial balance by (1.0357)²⁰;

We can formulate an equation to solve to get the initial investment:

x(1.0357)²⁰ = 113400

(2.01687752)x = 113400

x = ¹¹³⁴⁰⁰/₍₂.₀₁₆...₎

x = 56225.5263 → 56226

Answer:

count the amount shaded and put that as your numerator (top number of fraction) and the total amount of boxes on the grid as your denominator (Bottom number of fraction) and convert the fraction to a decimal and that will be your percentage of gid shaded

Answer: 8 books

Step-by-step explanation:

y= how much shelf space take up (inches)

x= # of books

y=2x

in this situation 16=y

16=2x

divide both sides by 2

8=x

Answer:

G ≥ 3.70

Step-by-step explanation:

4.95g + 4.25 ≤ 20.00

reverse the symbol + to subtraction

subtract 4.25 from 20.00

you get 15.75 so next thing you do is divide soo 15.75÷4.25

and your answer is 3.70 or 3.7  

The inequality that represents the number of games, g is G ≥ 3.70

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality.

We have been given that Cynthia's mom gave her $20.00 to spend at her friend's birthday party on Friday night.

Then the inequality that represents the number of games, g is;

4.95g + 4.25 ≤ 20.00

Now subtract 4.25 from 20.00

4.95g ≤ 20.00 - 4.25

Then divide 4.95;

g ≤ 15.75/4.95

g =  3.70 or 3.7  

Hence, the inequality that represents the number of games, g is g =  3.70.

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Answer:

D

Step-by-step explanation:

answer is on the photo

Answer:

6 bags.

Step-by-step explanation:

Subtract 38 from 75 to represent the remaining amount of Matthew's money.

\(75-38=37.\)

Matthew has $37 left over from buying flowers.

Divide 37 by 6 to represent how many bags of soil he can buy.

\(37\div6=6\frac{1}{6}\)

Matthew can only buy 6 bags of soil, 1/6 isn't included because you can't buy a fraction of a bag.

Answer:

i think it cccccccc

Step-by-step explanation:

Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

Pretty sure it´s 12.25

61.25 /5=12.5

you can check this by doing 12.5 x 5 ; 15 or 30 and you´ll get the same product in monthly earned

Step-by-step explanation:

2x+6=14

2x=14-6

2x=8

x=8/2

hence; x=4

Answer:

x = 4

Step-by-step explanation:

2(x+3)=14

Distribute

2x + 6 = 14

Subtract 6 on both sides

-6. - 6

Move the variable on one side and the other number on the other

2x = 8

Divide by 2 on both sides

2. 2

Answer:

x = 4

I hope it helps! Have a great day!

Lilac~

Answer:

True.

Step-by-step explanation:

When two lines are crossed by a transversal, the interior angles between them will always add up to 180 degrees, which means they can never be parallel.

Hey there!

2^30+2^29+2^28 / 2^31+2^30+2^29

= 1,073,741,824 + 536,870,912 + 268,435,456 / 2,147,483,648 + 1,073,741,824 + 536,870,912

= 1,610,612,736 + 268,435,456 / 3,221,225,472 + 536,870,912

= 1,879,048,192 / 3,758,096,384

= 1 / 2

≈ 0.50

Therefore, your answer is: 1/2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

We are given with a fraction which has a lot of power raised , but their is a way to do it fastly . Consider the given first ;

\({:\implies \quad \sf \dfrac{2^{30}+2^{29}+2^{28}}{2^{31}+2^{30}+2^{29}}}\)

Now , here , if we calculate 2³⁰ and the other stuff and then plus and then divide by the stuff in denominator , it will be very long .But here the interesting thing is that , we can see here 28 is the smallest in all powers in both numerator and denominator , but their isn't any 28 raised to 2 in denominator but their is 29 raised to 2 . So , we can take 2 raised to 28 common and then we can cancel it and then it will be very easy for us to calculate it . So , let's proceed

\({:\implies \quad \sf \dfrac{2^{28}(2^{2}+2^{1}+1)}{2^{28}(2^{3}+2^{2}+2^{1})}}\)

\({:\implies \quad \sf \dfrac{\cancel{2^{28}}(2^{2}+2+1)}{\cancel{2^{28}}(2^{3}+2^{2}+2)}}\)

\({:\implies \quad \sf \dfrac{2^{2}+2+1}{2^{3}+2^{2}+2}}\)

\({:\implies \quad \sf \dfrac{4+2+1}{8+4+2}}\)

\({:\implies \quad \sf \dfrac{7}{14}=\dfrac12}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{\dfrac{2^{30}+2^{29}+2^{28}}{2^{31}+2^{30}+2^{29}}=\dfrac12}}}\)

Hence , The required answer is ½

Answer:

$105

Step-by-step explanation:

Let x be the amount of money Carolina has in her checking account. Then, her savings account has x + $30. The total amount of money in both accounts is $180, so we can write the equation:

x + (x + $30) = $180

Expanding the left-hand side:

2x + $30 = $180

Subtracting $30 from both sides:

2x = $150

Dividing both sides by 2:

x = $75

Therefore, Carolina has $75 in her checking account and $75 + $30 = $105 in her savings account.

\(\dfrac{d}{dt} [(4t^2-t)(t^3 -8t^2+12)]\\\\\\=(4t^2-t)\dfrac{d}{dt}(t^3-8t^2 +12) + (t^3 -8t^2 +12) \dfrac{d}{dt} (4t^2 -t)\\\\\\=(4t^2 -t)(3t^2-16t)+(t^3-8t^2+12)(8t-1)\\\\=12t^4-64t^3 -3t^3+16t^2+8t^4-64t^3+96t-t^3+8t^2-12\\\\=20t^4-132t^3+24t^2+96t-12\)

Answer:

42 units

Step-by-step explanation:

Area of a trapezoid is always 1/2(b1+b2)*h

so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42

Answer:

24

Step-by-step explanation:

4 * 3 * 2 * 1 = 24

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

Plane 1

Speed = 140 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

Plane 2

Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

= 425miles

The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

c^2 = 122500+180625-297500(0.906)

c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles

Answer:

0

Step-by-step explanation:

x < 4 means all numbers less than 4, excluding 4 itself.

4.5 > 4.

5 > 4.

so 0 is the solution

Answer:

4

Step-by-step explanation:

interval notation ( negative infinity, 4)

Answer:

100.

Step-by-step explanation:

(-2-8)^2

First you calculate the expression inside the parentheses:

= (-10)^2

= -10 * -10    

= 100.

(Note - * - = + ).

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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To show that ΔJKL ≅ ΔMNR by SAS (Side-Angle-Side), we need the additional information that the lengths of the corresponding sides JK and MN are equal.

To prove ΔJKL ≅ ΔMNR using the SAS congruence criterion, we need to establish that two corresponding sides and the included angle of the triangles are congruent.

1. Given information:

  - KL ≅ NR (corresponding sides)

  - JL ≅ MR (corresponding sides)

  - ∠J ≅ ∠M (included angle)

  - ∠L ≅ ∠R (corresponding angles)

  - ∠K ≅ ∠N (corresponding angles)

  - ∠R ≅ ∠K (corresponding angles)

2. Additional information needed:

  - We need to know if JK ≅ MN (corresponding sides) to establish the SAS congruence criterion.

3. Possible scenarios:

  - If JK ≅ MN, then we can establish that ΔJKL ≅ ΔMNR by SAS.

  - If JK is not equal to MN, then we cannot apply the SAS congruence criterion, and additional information or a different congruence criterion would be needed to prove the triangles congruent.

In summary, the lengths of the corresponding sides JK and MN need to be equal to prove ΔJKL ≅ ΔMNR by SAS. Without this information, we cannot conclude the congruence of the triangles using the SAS criterion alone.

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It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors

As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.

In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.

However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.

Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.

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Answer:

the area of the shape is 48m

Step-by-step explanation:

10*4=40

2*4=8

40+8=48

brake it up into two triangles. one is a triangle that is 10m tall and 8m wide at the top. you can solve that by doing 4*10=40. the other triangle is 4m wide at the bottom and 2m tall. you can solve that by doing 2*4=8. and 40+8=48.

Answer:

The posters will be 1 foot away from each other

Step-by-step explanation:

The equation is right