Which of the following are whole numbers ?

Answer:

(8)^2-4(16)(1)=0

Value of determinant: 0

one real solution (or two equal solutions)

Step-by-step explanation:

Answer:

1 1/2 i think

Step-by-step explanation:  to find out the batteries price you subtract 2.50  from 1.50 and get 1 then convert to fractions so 1 1/2 and 1 and when you add them together you get the total price so the torch accounts for 1 1/2 of the total price.

Answer:

about 94 boxes.

Step-by-step explanation:

1503 divided by 16 ≈ 94

Answer:I believe you would need about 93.9375 boxes round as needed

Step-by-step explanation:1503/16= 93.9375

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Explanation:

The center is at (0,2). So (h,k) = (0,2) leads to h = 0 and k = 2.

The radius is 2 units, meaning r = 2.

Plug h = 0, k = 2, r = 2 into the formula below and simplify

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-0)^2 + (y-2)^2 = 2^2\\\\x^2 + (y-2)^2 = 4[/tex]

Answer:

x = 3, y = 2

Step-by-step explanation:

~ Through process of elimination ~

1.         - 8x + 2y = -20      

        +   8x - 5y = 14

2. Simplify to solve for y through simple algebra:

          2y - 5y = -20 + 14 ⇒ - 3y = - 6 ⇒ y = 2

3. Now substitute this value of y into the to equation - 8x + 2y = -20 to get x:

- 8x + 2 ( 2 ) = -20  ⇒

    -8x + 4 = -20 ⇒

       -8x = -24 ⇒

           x = 3

Answer:

Step-by-step explanation:

We are told that:

D = number of minutes it takes to walk his dog

G = number of minutes it takes to water the garden; and

F = number of minutes it takes to feed his fish

We are required to match the given situations to its respective expressions:

Situation

The total Minutes of the Inside tasks.

The total Minutes of the Outside tasks.

The total Minutes of the tasks involving animals.

The total Minutes of the tasks not involving animals.

Expression

D+F

G+D

G

F

Note

Therefore, the match of the situation and respective expressions are:

Answer:

it is just 64-18=48

Step-by-step explanation:

you have to just keep 64 the same and do the 9*2. And sum those outcomes.

Answer:

Yes

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

[tex] \boxed{Length \: of \: each \: side \: of \: cube = 5.2 \: mm} [/tex]

Given:

Volume of cube = 140.608 cubic millimetres

Step-by-step explanation:

Let the length of each side of cube = a

[tex] = > Volume \: of \: cube = {a}^{3} \\ \\ = > 140.608 = {a}^{3} \\ \\ = > {a}^{3} = 140.608 \\ \\ = > {a}^{ \cancel{3}} = {5.2}^{ \cancel{3}} \\ \\ = > a = 5.2[/tex]

Therefore length of each side of cube = 5.2 mm

Answer:

use phototmath

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

You need to find the answer

Answer:

Step-by-step explanation:

rectangle and triangle is here

area of triangle = 1/2 * 5 * 12 = 30

area of rectangle = 1 * 12 = 12

total is 12 + 30 = 42

Step-by-step explanation:

I hope it's correct.. And hopefully you understand those steps and also my horrible writing

Answer:

P(A) x P(B) = 35 x 13 = 455

P(A∩B) = 18

=> P(A) x P(B) ≠ P(A∩B).

=> A and B are not independent.

=> Option A (No, because 35(13)≠18) is correct.

Hope this helps!

:)

A and B are not independent because 35(13)≠18), the correct option is A

Independent events and probability can be defined as those occurrences that are not dependent on any specific event.

P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent.

It is to note here that A and B are the odd number outcome and multiples of 3 respectively. So, P (A ∩ B) = 18

P(D│E) = P (D ∩ E)/ P(B)

P(D│E) = 18/13

Here P(D) = P(D│E) = 18/13, which entails that the occurrence of event E will not be affected by the probability of event D’s occurrence.

Taking A and B as independent events, then P(D│E) = P(D).

Here, A and B are not independent because 35(13)≠18), the correct option is A.

Learn more about probability here;

https://brainly.com/question/11234923

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Answer:

28unit³

Step-by-step explanation:

given,

1 side has 21/2 unit square area

the side happens to be l×b

h is given as 8/3

the volume formulae is l×b×h

substituding in formulae

21/2×8/3

=28 unit³

this is correct

plzz mark me brainliest

Answer:

7.4 x 10^7

Step-by-step explanation:

3.98 x 10^8 - 3.24 x 10^8 = 0.74 x 10^8 (not scientific notation, because it isn't full number)

0.74 x 10^8 ---> 7.4 x 10^7

   - got seven by counting the spaces it moved over (right decrease, while left increases)

Answer:

She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.

Step-by-step explanation:

She cuts 1/2 of a piece of paper.

Of what was cut, she used 1/6 to make a piece.

What fraction of the sheet of paper does she use to make the flower?

A sixth of one half. So

[tex]\frac{1}{6}*\frac{1}{2} = \frac{1}{12}[/tex]

She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.

Answer:

Step-by-step explanation:

Quotient means result of division

anything raised to 0 is 1

(-3)^0 = 1

(-3)^2 = -3 * -3 = 9

Quotient = 1/9

Answer:

1/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct answer by using divisibility rules is:

a) Exactly one of these statements is false.

Statement 1: If two numbers are co-primes, at least one of them must be prime.

This statement is true. Two numbers are considered co-prime if their greatest common divisor (GCD) is 1. If both numbers are not prime, it means they have factors other than 1 and themselves. In that case, their GCD would be greater than 1, contradicting the definition of co-prime numbers. Therefore, at least one of the two co-prime numbers must be prime.

Statement 2: If a number exactly divides two numbers, then it must also divide their sum.

This statement is false. Just because a  number divides two other numbers, it does not necessarily mean that it will divide their sum. For example, consider the numbers 6, 8, and 14. 6 and 8 are both divisible by 2, but their sum, 14, is not divisible by 2.

Based on the analysis above, exactly one of these statements is false.

Therefore, the correct answer by using divisibility rules is:

a) Exactly one of these statements is false.

Learn more about divisibility rules here:

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Answer:

Popcorn=$6

Step-by-step explanation:

1) Setting variables

d= price of drinks

p= price of popcorn

2) Writing the system of equations

10d+7p=132

2d+14p=102

3) Simplifying one equation

2d=102-14p

d=51-7p

4) Solving the other equation by plugging the first equation in

d=51-7p

10d+7p=132

10(51-7p)+7p=132

510-70p+7p=132

510-63p=132

63p=378

p=6

5) Substituting p=6 into the first equation

d=51-7p

d=51-42

d=9

Answer:

Total surface area of cuboid (6 faces)

= 7.2 x 3.1 x 2 + 7.2 x 4.8 x 2 + 3.1 x 4.8 x 2 = 143.52 (cm2)

Answer:

Step-by-step explanation:

Total surface area of cuboid (6 faces)

= 7.2 x 3.1 x 2 + 7.2 x 4.8 x 2 + 3.1 x 4.8 x 2 = 143.52 (cm2)

Answer:

the second option

Step-by-step explanation:

The graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

To graph the circle x² + y² + 16x - 16y + 124 = 0, we first need to rewrite it in standard form:

x² + 16x + y² - 16y + 124 = 0

(x² + 16x + 64) + (y² - 16y + 64) = -124 + 64 + 64

(x + 8)² + (y - 8)² = 4

Now we can see that the circle has center (-8, 8) and radius 2.

To graph it, we can plot the center point and then draw a circle with radius 2 around it.

Hence, the graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.

To learn more on Circles click:

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Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.

Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.

Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.

Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.

Answer:

the value of x is 5 .

Step-by-step explanation:

In order to find the value of x, you have to move the unrelated terms to the other side by adding 4 to both sides :

[tex]11 = 3x - 4[/tex]

[tex]11 + 4 = 3x - 4 + 4[/tex]

[tex]15 = 3x[/tex]

Next, you have to divide it by 3 :

[tex]3x = 15[/tex]

[tex]x = 15 \div 3[/tex]

[tex]x = 5[/tex]

Answer:

the answer is attached to the picture

Step-by-step explanation:

hope this helps

Answer:

You tell them

Step-by-step explanation:

Never stop being postive

Answer:

Third side is 9m.

Step-by-step explanation:

In a right triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides.

15 x 15= 225m2

12 x 12 = 144m2

225 - 144 = 81m2 and the length of the third side is square root of 81, which would be 9m as your final answer.

Answer:

Follow the Pythagoreas theorm. You typically need to find [tex]C^2[/tex], which is the hypotonuse, but because we already know this, we can rearrange the equation to make sense.

Personally, I like to substitute with non-related numbers, such as 1 and 2. In the following example, the sides are 1 unit, 2 units, and 5 units. First, I like to figure out the sum of [tex]a^2[/tex] and [tex]b^2[/tex] .

EX: [tex]1^2+2^2= 5[/tex]

[tex]25^2=5[/tex]

I can rearrange this so that one leg and the hypotenuse are on the same side:

[tex]25^2-1^2=2^2[/tex]

Now I can take out the example numbers, and substiture in the variables.

[tex]c^2-a^2=b^2[/tex]

Now all I have to do is fill in the known variables!

[tex]15^2-12^2=b^2[/tex]

Solve!

[tex]225-144=80[/tex]

We're not done- we have to find the square root of 81!

It's 9m!

Finally, we can check our work by plugging [tex]A^2[/tex] and [tex]B^2[/tex] into the normal equation. It checks out!

[tex]12^{2} +9^{2} = 15^{2} \\=225 =225\\225=225[/tex]

Have questions? Let me know!

Answer:

3.5

Step-by-step explanation:

y = 3.5x – 17

This is in the slope intercept form

y= mx+b where m is the slope and b is the y intercept

The slope is 3.5

Answer:

22.

     log3(4) + log3(5x^2 + 1) = 2

<=> log3(4 x (5x^2 + 1)) = log3(9)

<=> 20x^2 + 4 = 9

<=> 20x^2 = 5

<=> x^2 = 1/4

<=> x = +/- (1/2)

23.

      log8(4x^2 + 1) - log8(2) = log8(5)

<=> log8((4x^2 + 1)/2) = log8(5)

<=> 2x^2 + 1/2 = 5

<=> 2x^2 = 9/2

<=> x^2 = 9/4

<=> x = +- (3/2)

24.

      log8(4x^2 - 9) - log8(5) = 1

<=> log8((4x^2 - 9)/5) = log8(8)

<=> (4x^2 - 9)/5 = 8

<=> 4x^2 - 9 = 40

<=> 4x^2 = 49

<=> x^2 = 49/4

<=> x = +/- (7/2)

Hope this helps!

:)