Which of the following sentences is true?
8.62 < 8.623
34.705 > 34.712
28.97 < 28.75
17.4 > 17.54

Answer:

a) 5/12 probability of selecting a red marble.

b) 7/12 probability of selecting a green marble.

c) 0% probability of selecting a purple marble.

d) All marbles are either red or green, so 100% probability of selecting a red or a green marble

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

a) A red marble

5 red marbles out of 5 + 7 = 12 total marbles

So, 5/12 probability of selecting a red marble.

b) A green marble

7 green marbles out of 5 + 7 = 12 total marbles

So, 7/12 probability of selecting a green marble.

c) A purple marble

There are no purple marbles, so 0% probability of selecting a purple marble.

d) A red or a green marble

All marbles are either red or green, so 100% probability of selecting a red or a green marble

Answer:

13.6 - x = -64.2

Step-by-step explanation:

x = 77.8

13.6 - 77.8 = -64.2 True!

Answer:

x=77.8

Step-by-step explanation:

13.6-x=-64.2

-13.6. -13.6

---------------------

since there is already -x it wouldn't be -77.8 bc that would cancel it out

Answer:

integrates by parts:

             U = x   dV = f''

            dU  = dx   V = f'

The integral becomes:

     x f'  - integral f' dx

 =   x  f'  -  f

limit as x->4 :   4 * f'(4) - f(4) = 4 * -3 -  7

                                  = -12-7 = -19

limit as x->1 : 1 * f'(1) - f(1) = 1 * 9 - 8 = 1

subtracting: -19-1 = -20

Step-by-step explanation:

Answer:

A=hbb

2

Step-by-step explanation:

Answer:

If the base is 2 and the height is 2, the area is 2

Step-by-step explanation:

The measure of the angles formed between parallel lines and their transversals indicates;

9. m∠3 = 97°, m∠5 = 97°, m∠10 = 97°, m∠7 = 83°

Parallel lines are lines that  maintain the are equidistant from each other and have the same slope on the coordinate plane.

The angles formed between the parallel lines and their transversal are;

1. Alternate exterior angles; (c) ∠9 and ∠16
2. Supplementary angles (e);  ∠15 & ∠11

3. Alternate interior angles (a); ∠10 & ∠15

4. Vertical angles (d); ∠12 & ∠15

5. Corresponding angles (b); ∠9 & ∠11

6. None (f); ∠9 & ∠15

7. Supplementary angles (e); ∠13 & ∠14

8. Alternate interior angles; ∠14 & ∠11

9. The alternate interior angles theorem indicates that we get;

(a + 28) = 2·a

Therefore; 2·a - a = 28

2·a - a = a, therefore;

a = 28

∠MNP = (a + 28)° = (28 + 28)° = 56°

10. The alternate interior angles theorem indicates that we get;

5·y° = (2·y + 78)°

Therefore;

5·y - 2·y = 78

3·y = 78

y = 78/3 = 26

The measure of the angle WXZ, m∠WXZ = 5·y°

Therefore; m∠WXZ = 5 × 26 = 130

m∠WXZ = 130°

9. ∠2 ≅ ∠3 (Vertical angles theorem)

m∠2 = m∠3

Therefore; m∠3 = m∠2 = 97°

m∠5 + m∠6 = 180° (Linear pair angles theorem)

m∠5 + 83° = 180°

m∠5 = 180° - 83° = 97°

∠10 and ∠2 are corresponding angles, therefore;

m∠10 = m∠2 = 97°

∠7 and ∠6 are vertical angles, therefore;

m∠7 = m∠6 = 83°

∠9 and ∠3 are same side interior angles, therefore;

m∠9 + m∠3 = 180°

m∠9 = 180° - m∠3

m∠9 = 180° - 97° = 83°
∠8 and ∠6 are linear pair angles, therefore; m∠8 = 180° - 83° = 97°

∠16 and ∠6 are same side exterior angles, therefore;

m∠16 + m∠6 = 180°

m∠16 = 180° - 83° = 97°

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$15300

$15606

300 is 2% of 15000, so we add that. The result we have is $15300.

306 is 2% of 15300, so we add that to the original value. The result is $15606.

Side note:

All you need to know is the Interest Rate Formula: \(p(1+r/100)^n\). By the way, that's the simple compound interest rate formula. The simple interest rate formula is \(p+(r/100)^n\).

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Answer:

heyy i did this problem a while ago and got kinda stuck on it

Answer:

x ≈ 32.3

Step-by-step explanation:

Using the sine ratio in the right triangle

sin48° = \(\frac{opposite}{hypotenuse}\) = \(\frac{24}{x}\) ( multiply both sides by x )

x × sin48° = 24 ( divide both sides by sin48° )

x = \(\frac{24}{sin48}\) ≈ 32.3 ( to 1 dec. place )

Answer:

15

Step-by-step explanation:

In the function f(x), x is the variable. So, whatever is in the parentheses, replacing x, should replace x throughout the entire function. So, to find f(4) simply plug in 4 for x.

f(4) = 4^2 - 4 + 3

f(4) = 4^2 - 1

f(4) = 16 - 1

f(4) = 15

Answer:

f(4) = 15

Step-by-step explanation:

Substitute 4 for x and solve for f(4).

\(f(x)=x^2-x+3\\f(4)=(4)^2-4+3\\f(4)=16-4+3\\f(4)=15\)

Answer:

41.48/year

Step-by-step explanation:

4.95 x 12 = 59.40

59.40 × .30 = 17.82

59.40 - 17.82 = 41.48

Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.

What is compound interest?

compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.

Capital(p) = $6400

Rate of interest(r) = 11%

Years(n) = 3

The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).

Now

\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)

The entire amount (Capital+interest) is equal to $8752.8384.

If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)

Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.

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The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

The formula for f : M = 38 + 5f will be f = (M - 38) / 5.

no

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The equation given is:

M = 38 + 5f

We want to make f the subject of the formula

M = 38 + 5f

Subtract 48 from both sides

M - 38 = 5f

Divide through by 5

f = (M - 38) / 5

Therefore, f = (M - 38) / 5

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Answer:

  A) w^2 +17w -308 = 0

  B) (w -11)(w +28) = 0

  C) length: 28 ft; width: 11 ft.

Step-by-step explanation:

If w is used to represent the width of the garden, then its length is w+17, and the relation to area is ...

  w(w +17) = 308

  w^2 +17w -308 = 0 . . . . the desired quadratic equation

__

The equation can be factored as ...

  (w -11)(w +28) = 0 . . . . . the factored equation

__

The positive solution for w in the factored equation is w = 11. Then the length of the garden is ...

  w +17 = 11 +17 = 28

The length and width of the garden are 28 feet and 11 feet, respectively.

Answer:

One number sentence shows the distributive property of multiplication over addition. ... (5 + 4) × 3 = (5 × 3) + (4 × 3) is an example of the distributive property. (5 − 4) × 3 = 1 × 3. 1 × 3 is not equal to (1 × 3) − (1 × 3).

Step-by-step explanation:

A

Answer:

7/10

this should work

Step-by-step explanation:

Answer:

A function is a relation between a set of inputs and a set of permissible outputs, provided that each input is related to exactly one output. An example is the function that relates each real number x to its square x2 . The output of a function f corresponding to an input x is denoted by f(x) (read “f of x“).

Step-by-step explanation:

correct me if im wrong シ︎

Answer:

answer is 4 im pretty sure

Step-by-step explanation:

did da math

Answer:

Let's denote:

x: the time both trains traveled.

Then, we have:

70x + 80x = 390

=> 150x = 390

=> x = 390/150 = 2.6 hour

Answer:

2.6 hours ( or 2 hours 36 minutes).

Step-by-step explanation:

The combined speed is 70+80 = 150 mph.

Speed = distance / time,  so time = distance / speed.

So the time when they will meet

=  390 / 150

= 2.6 hours.

Answer:

D one is the answer

Step-by-step explanation:

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer: (\(\frac{-3}{5}\), 1) and (\(\frac{-3}{5}\), 3) are two you could use, but there are countless possibilities.

Step-by-step explanation:

   To solve this question, we will first isolate the variable x.

       -5x = 3

       \(\displaystyle \frac{-5x}{-5} =\frac{3}{-5}\)

       x = \(\frac{-3}{5}\)

   Next, we will find points that satisfy the equation. Any value in the y-coordinate will work as long as x = \(\frac{-3}{5}\). Some examples:

(\(\frac{-3}{5}\), 1)

(\(\frac{-3}{5}\), 6)

(\(\frac{-3}{5}\), -4)

(\(\frac{-3}{5}\), \(\frac{1}{2}\))

(\(\frac{-3}{5}\), 0)

     Etcetera.

   I have attached a graph with two of the examples to further show. This graph uses (\(\frac{-3}{5}\), 1) and (\(\frac{-3}{5}\), 6). Negative three-fifths is equal to -0.6.

Answer:

3

Step-by-step explanation:

in the image Attached

......

Answer:

3

Step-by-step explanation:

Prime factorize both numbers :

The GCF is the highest common term that both terms share.

Hence,

Answer:

The equation of the Parallel line to the given line is  5x+y-7=0

Step-by-step explanation:

Explanation:-

Given that the line y = - 5x+4 and point (1,2)

The equation of the Parallel line to the given line is  ax+by+k=0

Given straight line  5x + y -4 =0

The equation of the Parallel line to the given line is  5x+y+k=0

This line passes through the point (1,2)

             5x+y+k=0

            5(1)+2+k=0

⇒              7+k=0

                   k =-7

Final answer:-

The equation of the Parallel line to the given line is  5x+y-7=0

The zeros of the function are -1 and 5/2

The zeros of a function are defined as the values of the variable of the function such that the function equals 0.

Graphically, the zeros of a function are the x intercept of the graph. This is the point where the graph cut the x axis.

On the graph, the curve cut the x axis on the point -1 and 2.5 or 5/2. This means that the zero of the function is -1 and 5/2

The y intercept on the graph is( 0,-5 )with a maximum of (1,-6).

The zeros of the function is -1 and 5/2

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Answer:

i do bellieve it is c

Step-by-step explanation:

Answer:

your teacher get all her answer from quizlet

The equation of the line in point-slope form is y + 1 = 2(x + 8).

What is equation of line?

An equation with terms that have variables x and y independently and a degree of one is referred to be a line equation in a two-dimensional coordinate system. A linear equation is any equation with degree 1. The relationship between the x and y coordinates of any point on a straight line is known as the equation of a straight line.

The point-slope form of the equation of a line with slope m and passing through the point (x1, y1) is given by:

y - y1 = m(x - x1)

Using the given information, we have:

m = 2

x1 = -8

y1 = -1

Substituting these values into the point-slope form, we get:

y - (-1) = 2(x - (-8))

Simplifying, we get:

y + 1 = 2(x + 8)

This is the equation of the line in point-slope form.

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