A number when divided by 899 gives a remainder 63. If the same number is divided by 29, then the remainder will be :
[A]2
[B]4
[C]5
[D]10

Answer:

3

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ 0, 2 ] and from the graph

f(b) = f(2) = 0

f(a) = f(0) = - 6, hence

average rate of change = [tex]\frac{0-(-6)}{2-0}[/tex] = [tex]\frac{6}{2}[/tex] = 3

Wait. You've been waiting for a year? Woah..

Answer:

Step-by-step explanation:

Answer:

No slope

Step-by-step explanation:

The slope of a line or segment in the Cartesian plane is zero if from left to right the value on the y-axis increases, and negative if from left to right the value on the y-axis decreases. So in this case the line is neither positive nor negative.

A slope is zero if the line is horizontal, and because the line in the figure is vertical, its slope is not zero.

For vertical lines in the plane it is said that they have no slope or that it is undefined.

Final answer:

To factor 1/7 out of 1/7x+46/7, you can factor it out of each term separately and then combine like terms.

Explanation:

To factor 1/7 out of 1/7x+46/7, you can factor it out of each term separately. So you would have:

1/7(1/7x) + 1/7(46/7)

Simplifying each term gives us:

1/49x + 1/49(46)

Finally, you can combine like terms to get the answer:

1/49x + 46/49

Answer:

16

Step-by-step explanation:

-1.6*.5*-20

=-.8*-20

=-4/5*-20

=16

Answer:

16

Step-by-step explanation:

Answer: 4.5

Step-by-step explanation:

11.4-6.9=4.5

Answer:

h = 4.5

Step-by-step explanation:

You would do 11.4 - 6.9, which would equal 4.5.

Answer:

y + 2 = -3(x - 7)

Step-by-step explanation:

Write the equation using the point slope form [tex]y - y_1 = m(x-x_1)[/tex]. Substitute m = -3 and (7,-2).

[tex]y --2 = -3(x-7)\\y + 2 = -3(x-7)\\y +2 = -3x +21\\y = -3x +19[/tex]

Answer:

C

Step-by-step explanation:

Basically (f+g)(x) = f(x)+g(x).

Following this rule you combine like terms.

7x-2x=5x and 10+5 = 15.

Therefore the answer is C.

f(x) = 10 - 2x

g(x) = 7x + 5

(f + g) (x) = (10 - 2x) + (7x + 5) //Adding two functions

= 10 - 2x + 7x + 5

= 15 + 5x

Answer: C.

//Hope it helps.

Answer:

Hence, the number of ways of doing so is:

                                780 ways.

Step-by-step explanation:

We know that if we have to choose r items out of a total of 'n' items then the number of ways of doing so is calculated by the formula of combination as:

                             [tex]n_C_r[/tex]

which is given by:

[tex]n_C_r=\dfrac{n!}{r!\times (n-r)!}[/tex]

Here we have to chose 2 books out of a shelf of 40 books.

i.e. we have: n=40 and r=2

Hence, the number of ways of doing so is:

[tex]{40}_C_{2}=\dfrac{40!}{2!\times (40-2)!}\\\\\\{40}_C_2=\dfrac{40!}{2!\times 38!}\\\\\\{40}_C_2=\dfrac{40\times 39\times 38!}{2!\times 38!}\\\\\\{40}_C_2=\dfrac{40\times 39}{2}\\\\\\{40}_C_2=780[/tex]

            Hence, the answer is:

                   780

In mathematics, the concept of combinations is used when selecting items from a larger group where order doesn't matter. Using the combination formula, we find that there are 780 ways to select 2 books from a shelf of 40 books.

The question pertains to the concept of combinations in mathematics. When you're selecting items, such as books, from a larger group and the order in which you select them doesn't matter, you are dealing with combinations. In this case, you are choosing 2 books from a selection of 40, and the order in which you select them doesn't matter.

To solve this, we use the combination formula nCr = n! / [(n-r)! r!], where 'n' represents the total number of items, 'r' is the number of items to choose, and '!' denotes factorial. In this scenario, n = 40 (total number of books) and r = 2 (number of books to select).

So, substituting these into the formula, we get 40C2 = 40! / [(40-2)! 2!] = (40*39) / (2*1)= 780.

Therefore, there are 780 ways to select 2 books from 40.

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Step-by-step explanation:

2/3 - 5/6 * 8

You have to multiply first, then subtract:

-5/6 * 8 = -20/3

Put it back into an equation:

2/3 - 20/3

Simplify:

-18/3

= -6

Answer:

B) -6

Step-by-step explanation:

2/3 - 5/6 • 8

According to PEMDAS, we need to multiply before we subtract

5/6 *8 = 40/6

We can divide the top and bottom by 2

40/6 = 20/3

Replace 5/6*8 with 20/3 in the original equation

2/3 -20/3

-18/3

Divide the top and bottom by 3

-6/1

-6

Answer:

B

Step-by-step explanation:

Chords which intersect have segments whose products are equal. This means the chord with lengths 5 and x has a product 5x. It is equal to the the other chords lengths 5.1 and 9 as a product 5.1*9.

5x = (5.1)(9)

5x = 45.9

x = 9.18

9.18 rounds to the tenth place as 9.2

Step-by-step explanation:

If x-4 is factor, then one value of x is 4

4²-4-w=0

12-w=0

w=12

➷ You have to find a value that, when added to -4, gives -1

This value is +3

The factored form would be (x - 4)(x + 3)

Expand this out:

x^2 + 3x - 4x - 12

==> x^2 -x -12 = 0

w = -12

➶ Hope This Helps You!

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Answer:

$39

Step-by-step explanation:

65 x .40 = 26

65 - 26 = $39

Answer:

$39

Step-by-step explanation:

1st multiply: 0.40 * 0.100= 0.400

2nd multiply: 0.400 * $65 = $26 (how much you saved)

3rd subtract: $63 - $26= $39 (which is the cost of the sneakers)

Answer:

300 and 600

Step-by-step explanation: multiply l x w

In the given figure the area of the complete figure can be calculated as

sum of the area of the parallelogram and the area of the trapezium which is 787.5 sq.cm.

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

In the given figure the area of the complete figure can be calculated as

Area = area of the parallelogram + area of the trapezium

The upper figure is the shape of a parallelogram that has a height of 14cm and a base of 23cm.

The area of a parallelogram = Base x Height

                                                  [tex]14 \times 23\\\\322\:cm^{2}[/tex]

The lower figure is the shape of a trapezium that has a height of 19cm and a base of 34cm and 15 cm.

area of the trapezium

= [tex]\frac{1}{2} (a+b)h\\\\\frac{1}{2} (15+34)19\\\\465.5\:cm^2[/tex]

Therefore, Area = area of the parallelogram + area of the trapezium

Area = 322 + 465.5

        =787.5 sq.cm

Learn more about the area;

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There are 12 months in a year

4 months that have 30 days so ratio of the months with 30 days to the  months with other than 30 days = 4: 12 = 1:3

Answer:

1 to 3

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

24 sedans and 18 sports

Ratio of sedans to sport = 24 : 18 = 4:3

Answer:

4 to 3

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

30 inches to 2 feet  

2 feet = 24 inches

so 30 inches to 24 inches = 30:24

simplify

= 5 : 4

Answer:

5 to 4

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

36 inches to 4 feet = 36 inches to 48 inches = 36:48

simplify

= 3 : 4  

Answer:

3 to 4

Answer:

1. 1 to 2 , 2. 3:2 , 3. 15:1 , 4. 6:2

Step-by-step explanation:

d × 3.14

18 ×3.14

c=56.52

Answer:

6,435

Step-by-step explanation:

To find the number of ways the teacher can select the students, we can use the combination formula.

[tex]_{n}C_{k}=\dfrac{n!}{k!(n-k)!}[/tex]

n = 15

k = 7

Now let's plug it in.

[tex]_{n}C_{k}=\dfrac{n!}{k!(n-k)!}[/tex]

[tex]_{15}C_{7}=\dfrac{15!}{7!(15-7)!}[/tex]

[tex]_{15}C_{7}=\dfrac{15!}{7!8!}[/tex]

[tex]_{15}C_{7}=6,435[/tex]

So there are 6,435 ways that the teacher can select the students.

Answer:

it could be 20 30 and 25

Step-by-step explanation:

Answer:

AB = 12.99

Step-by-step explanation:

To answer this problem, use the breast theorem.

[tex]\frac{sinA}{a} = \frac{sinC}{c}[/tex]

The side opposite angle C is denoted by the letter c. It is also denoted as AB side

We know that:

A = 80.4°

a = 17

C = 48.9

Then we have that:

[tex]\frac{sin(80.4\°)}{17} = \frac{sin(48.9\°)}{c}[/tex]

Now clear the variable c from the equation

[tex]c = \frac{sin(48.9\°)}{\frac{sin(80.4\°)}{17}}[/tex]

[tex]c = 12.99[/tex]

Answer:

Step-by-step explanation:

The equation of a circle in standard form:

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

(h, k) - center

r - radius

We have the equation:

[tex]x^2+y^2=100\\\\(x-0)^2+(y-0)^2=10^2[/tex]

Therefore we have

the center (0, 0)

radius r = 10

Answer: = [tex]\frac{17}{18}[/tex]

Step-by-step explanation:

* Hopefully the work below helps:) Mark me the brainliest if this was helpful:)

Simplifying

4.5x + -7 = 20

Reorder the terms:

-7 + 4.5x = 20

Solving

-7 + 4.5x = 20

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + 4.5x = 20 + 7

Combine like terms: -7 + 7 = 0

0 + 4.5x = 20 + 7

4.5x = 20 + 7

Combine like terms: 20 + 7 = 27

4.5x = 27

Divide each side by '4.5'.

x = 6

Simplifying

x = 6

whoops my mistake next time please explain more...

Answer:

C. (-2, 4)

Step-by-step explanation:

First we are going to rotate the point 270°; then we are going to shift it down 3 units.

Remember that the rule to rotate a point 270° counterclockwise about the origin is:

[tex]R_{270}(y,-x)[/tex]

In other words, we just need to switch the coordinates and change the sign of the second coordinate. Let's apply the rule to our point:

[tex]A = (-7, -2)[/tex]

[tex]A'=(y,-x)=(-2,--7)=(-2,7)[/tex]

Now we know that the coordinates of our point after the rotation are A' = (-2, 7)

The only thing left is shift that point 3 units down; to do it, we just need to subtract 3 from the y-coordinate:

[tex](x,y)-->(x,y-3)[/tex]

[tex]A'=(-2,7)[/tex]

[tex]K'=(-2,7-3)[/tex]

[tex]K'=(-2,4)[/tex]

We can conclude that after a rotation of 270° and a translation 3 units down, the coordinates of point K' are (-2, 4).

Answer: True.

Step-by-step explanation: For this to be true, then:

[tex]9^2+40^2(=?)41^2[/tex]

[tex]81+1600 (=?) 1681[/tex]

[tex]1681=1681[/tex]

Yes, the ramp is indeed a right triangle.

Final answer:

The triangle with sides of 9 inches, 40 inches, and 41 inches is a right triangle, as it satisfies the Pythagorean theorem (9² + 40² = 41²).

Explanation:

A student asked if a ramp with a triangular cross-section and side lengths of 9 inches, 40 inches, and 41 inches is a right triangle. To determine this, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

For the triangle in question, if we square each of the side lengths and add the squares of the shorter sides, we should get the square of the longest side if it is indeed a right triangle:

Then add the squares of the two shorter sides:

81 + 1600 = 1681

Since 1681 equals 41², the triangle with sides of 9 inches, 40 inches, and 41 inches satisfies the Pythagorean theorem, confirming it is a right triangle.

Answer:

14

Step-by-step explanation:

This can be solved by writing 2 equations and solving simultaneously.

Let number of Adult tickets be A, and number of child tickets be C.

"Bob bought 24 hockey tickets":

[tex]A+C=24[/tex]

"Adult tickets cost $5.50, and child tickets cost $2.00...Bob bought 24 hockey tickets for $83":

[tex]5.5A+2C=83[/tex]

Now we can solve the first equation for A and substitute in 2nd equation and get the value of C.

A + C = 24

A = 24 - C

Now,

5.5 A + 2 C = 83

5.5 (24 - C) + 2C = 83

132 - 5.5C + 2C = 83

-3.5 C = 83 - 132

-3.5C = - 49

C = 14

Hence, Bob bought 14 child tickets

Answer:

Helio is 53.2 feet from the kite ⇒ the last answer

Step-by-step explanation:

* Lets change this story problem to a trigonometry problem

- Assume that there is a triangle joining between the

 kite, Farimah and Helio

- The name of the triangle is KFH, where K position of the kite,

 F position of Farimah and H is the position of Helio

∵ Farimah and Helio are standing 15 feet apart from each other

∴ FH = 15 feet

∵ Farimah is flying the kite on a 57 feet string at an angle

 of 68 with the ground

∴ FK = 57 feet

∴ m∠KFH = 68°

∵ We need to know that Helio is how far from the kite

∴ We need to calculate the length of KH

* Now lets find the best way to find the length of KH

 using the trigonometry

- We have the length of two sides and the measure of the included

 angle between them , then the best way is the cosine Rule

* Lets explain the cosine rule:

- In ΔABC:

∵ a is the length of the side opposite to ∠A ⇒ a is BC

∵ b is the length of the side opposite to ∠B ⇒ b is AC

∵ c is the length of the side opposite to ∠C ⇒ c = AB

∴ a² = b² + c² -2bc × cos(A)

∴ b² = a² + c² -2ac × cos(B)

∴ c² = a² + b² -2ab × cos(C)

* We will use the rule in our problem to find HK

∵ FH is k , HK is f , KF is h

∴ f² = h² + k² - 2hk × cos(F)

∵ h = 57 feet , k = 15 feet , m∠F = 68°

∴ f² = (57)² + (15)² - 2(57)(15) × cos(68) = 2833.4227

∴ f = √2833.4227 = 53.2 feet

* Helio is 53.2 feet from the kite

(-4 + 7i)(-4 - 7i)

= 16 - 49i2

Since i = √-1,

16 - 49i2

= 16 + 49

= 65

Answer:  65

Step-by-step explanation:

   (-4 + 7i)(-4 - 7i)

= -4(-4 - 7i)  +7i(-4 - 7i)

=  16 + 28i    -28i - 49i²

=  16                     - 49(-1)         Note: i² = -1

= 16 + 49

[tex] {p}^{2} q + {r}^{2} - pqr - pr \\ = pq(p - r) - r(p - r) \\ = (pq - r)(p - r)[/tex]

Answer:

(p - r)(pq - r)

Step-by-step explanation:

P = p²q + r² – pqr – pr  

Rewrite the equation in descending orders of p and increasing orders of r.

P = p²q - pqr - pr + r²

Factor the first two and the last two terms

P = pq(p - r) - r(p - r)

Remove the common factor

P = (p - r)(pq - r)