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Answer:

[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]

Step-by-step explanation:

Given

[tex]\sum\limits^3_{k=1}(k^3 - 6)[/tex]

Required

Evaluate

This means that we substitute 1 to 3 for k.

So, we have:

[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1^3 - 6)+(2^3 - 6)+(3^3 - 6)[/tex]

[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1 - 6)+(8 - 6)+(27 - 6)[/tex]

[tex]\sum\limits^3_{k=1}(k^3 - 6) = -5+2+21[/tex]

[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]

Answer:

(0,-4)

Point B is on (0,-4)

Hope this helped :)

Answer:

28.32552

Step-by-step explanation:

39.331×0.72=28.32552

Answer:

C)48 pi square units

Step-by-step explanation:

The lateral area is  the area around the sides  ( does not include the top or bottom)

LSA = 2pirh

      = 2 pi(4) (6)

    = 48 pi

Answer:

(3) is the right answer because 360° - 308° = 52°

Answer:

$600

Step-by-step explanation:

2500+625+625+2500=6,250

625/6,250=.10 or 10%

6000x.10=600

Answer:

We can determine which image is correct by the second equation, only in one of the images the line is correct.

X-y=1

So x = 1+ y

If y is one x should be two.

Only in one image that is true, the third image.

Answer:

(a) 60 cups

(b) 5 cookies, 8 muffins and 4 cupcakes in each container

Step-by-step explanation:

Given

Let:

[tex]C \to Cookies; M \to Muffins; K \to Cupcakes[/tex]

So:

[tex]C : M : K = 300 : 480 : 240[/tex]

Solving (a): The greatest number of containers to be used;

To do this, we first reduce the ratio to the lowest

C : M : K = 300 : 480 : 240

Divide by 60

[tex]C : M : K = 5 : 8 : 4[/tex]

The ratio cannot be further reduced. Hence, he will use 60 cups

Solving (b): The number in each cup

In (a), we have:

[tex]C : M : K = 5 : 8 : 4[/tex]

This means that;

[tex]C = 5[/tex] --- Cookies

[tex]M = 8[/tex] --- Muffins

[tex]K = 4[/tex] -- - Cupcakes

Answer:

The total charge with the discount is $182

The refund is $78

Step-by-step explanation:

Given data

Charge= $260

Discount=30%

Let us find the amount of the 30%

=30/100*260

=0.3*260

=$78

The new charge after the discount is

=260-78

=$182

The total charge with the discount is $182

The refund is $78

Answer:

b + s = 14

5b + 10s = 80

Step-by-step explanation:

Answer:

b + s = 14

$5b + $10s = $80

Step-by-step explanation:

the sum of boogie board and surfboard rented is 14

boogie board rented + surfboard rented = 14

b + s = 14  equation 1

total income derived from renting the two types of boards is $80

total income derived = total income derived from renting boogie boards + total income derived from renting surfboards

total income derived from renting boogie boards = cost of renting one boogie board x number of boogie boards rented

= $5 x b = 5b

total income derived from renting surfboards = cost of renting one surfboard x number of surfboards rented

= $10 x s = 10s

80 = 5b + 10s   equation 2

Answer: 1: 8.973770492

2: 205.2727273

3: 198.0222222

4: 1894.6

5: 438

Answer:

1: 8.973770492

2: 205.2727273

3: 198.0222222

4: 1894.6

5: 438

Step-by-step explanation: Just use a caculator

Answer:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Answer:

True speed of the car is 87 km/h.

Step-by-step explanation:

Speed = 100 km/h

hike in speed = 25 %

Let the true speed is v.

[tex]v + 15% of v = 100 \\\\v + 0.15 v = 100 \\\\1.5 v = 100\\\\ v = 87 km/h[/tex]

Answer:

Step-by-step explanation:

➡️ Pembahasan:

Bilangan Genap adalah bilangan yang dapat di bagi 2.

➡️ Penyelesaian Soal:

10 bilangan genap adalah

[tex]HAVE \: \ \: A \: \: \: \: NICE \: \: \: \: DAY![/tex]

Step-by-step explanation:

(-13) + 7 – (-2) + (-6) + ( ) = 0

Let the unknown be "y"

-13 + 7 + 2 - 6 + y = 0

-10 + y = 0

y=10.

The missing Number is 10.

Verify

-13 +7 + 2 -6 + 10 = 0.

Answer:

10

Step-by-step explanation:

Answer:

600.4 cm^2

Step-by-step explanation:

first we should find the base of samller triangle

hypotenuse = 35 cm

one side = 30 cm  whereas other has be be find

using pythagoras theorem

a^2 + b^2 = c^2

30^2 + b^2 = 35^2

900 + b^2 = 1225

b^2 = 1225 - 900

b^2 = 325

b = [tex]\sqrt{325}[/tex]

b = [tex]5\sqrt{13}[/tex]

area of big triangle

base = 22 + [tex]5\sqrt{13}[/tex]

area of a triangle = base * height / 2

= 30 (22 + [tex]5\sqrt{13}[/tex] ) /2

=30*22 + 30*[tex]5\sqrt{13}[/tex] / 2

=660 + 540.83 / 2

=1200.83 / 2

=600.415

=600.4 cm^2

9514 1404 393

Answer:

  330 cm²

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

where b is the base length and h is the height measured perpendicular to the base.

Here, the base length is 22 cm, and the height is 30 cm. The area is ...

  A = 1/2(22 cm)(30 cm) = 330 cm²

__

Additional comment

As is often the case with "overspecified" geometrical figures, the given dimensions are inconsistent. If the side lengths are taken as true, the height is closer to 33.1 cm, and the area is about 364.1 cm².

We assume the intended solution method is the one used above, as all it requires is to make use of a simple formula, and the calculation can be done mentally.

Answer:

Four times 3 less than the number is 6 more than the number.

Step-by-step explanation:

4(x - 3 ) => four times  3 less than the number

x + 6 => 6 more than the number.

4(x - 3 ) = 6 + x  => four times 3 less than the is 6 more

                             than the number.

Answer:

Angle QRS

Step-by-step explanation:

because PQ is parallel to RS, angles PQR and QRS are alternate interior angles so theyre equal

Answer: [tex]\dfrac{5}{7}[/tex]

Step-by-step explanation:

Given

The theoretical probability of choosing an event  A is [tex]\dfrac{2}{7}[/tex]

The sum of the probability of occuring and non-occuring of an event is always equal to 1.

So, the probability of non choosing Event A is

[tex]\Rightarrow 1-\dfrac{2}{7}\\\\\Rightarrow \dfrac{7-2}{7}\\\\\Rightarrow \dfrac{5}{7}[/tex]

Answer:

y = -1x+1

Step-by-step explanation:

The equation for a line in slope intercept form is

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

y = -1x+b

Substitute in the point

0 = -1(1) +b

0 = -1+b

1 = b

The equation is

y = -1x+1

Answer:

The perimeter is 36.2 units.

Step-by-step explanation:

M (4,4), N (5,-7) and O (-6,-6)

The distance formula is

[tex]d =\sqrt{(x''-x')^2 + (y''-y')^2}\\\\MN =\sqrt{(5 -4)^2 + (- 7 - 4)^2}\\\\MN = 11.05 \\\\MO =\sqrt{(-6 -4)^2 + (- 6 - 4)^2}\\\\MO = 14.14\\\\ON =\sqrt{(-6-5)^2 + (- 6 + 7)^2}\\\\ON = 11.05[/tex]

The perimeter is given by

P = MN + NO + MO

P  = 11.05 + 14.14 + 11.05 = 36.24 units  

Answer:

(4,20)

Step-by-step explanation:

The table shows the ordered pair (4, 16), meaning that (4, 20) wouldn't fit.

Step-by-step explanation:

many things are possible.

the only thing we must not do is mixing the addition elements with the multiplication elements.

but we could change the expression to

3×(3×8) + 5

or

5 + (3×3)×8

or

5 + (3×8)×3

and so on, and it would always be the same result.

The new expression is 3×(3×8)+5. Therefore, option B is the correct answer.

The given expression is 5+3 ×(3×8).

We need to use the commutative property of addition and the associative property of multiplication to rewrite the given expression.

The commutative property deals with the arithmetic operations of addition. It means that changing the order or position of two numbers while adding them does not change the end result.

Associative property of multiplication: The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

The new expression=3×(3×8)+5

Therefore, option B is the correct answer.

#SPJ2

Your question is incomplete, probably the complete question/missing part is:

Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)

A. (3*3)*8+8

B. 3*(3*8)+5

C. 5+3*(24)

D. 3*(8*3)+5

Answer:

she set up the proportion incorrectly; the second ratio should be 2/x

Step-by-step explanation:

To obtain the width :

Scale drawing :

Initial = 1 inch = 4 feet

New = 1 inch = 7 feet

Width of rectangle = 2 inches

New width should be in the form :

new scale = width of rectangle / width of drawing

If width of drawing = x

1 / 7 = 2 / x

Cross multiply

x = 7*2

x = 14

Answer:

its A

Step-by-step explanation:

Answer: 20 nickels to make $2.00

Step-by-step explanation:

Answer:

5x = 200

x=40

Step-by-step explanation:

Answer: [tex]3+0.5n[/tex]

Step-by-step explanation:

Given

Vine is 3 inches long

It grows 0.5 inches a week

So, after n weeks it is given by the sum of initial length and the growth in n weeks

[tex]\Rightarrow 3+0.5n[/tex]