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What is the value of this expression when c = -4 and d = 10 ? [tex] \frac{1}{4} [/tex] (c³ + d²)

[tex] \frac{1}{4} [/tex] (c³ + d²) where c = -4 and d = 10

The value of the expression [tex] \frac{1}{4} [/tex] (c³ + d²)

[tex] \frac{1}{4} [/tex] (c³ + d²) [Given expression]

Now, putting the value of c = -4 and d = 10 , we get,

[tex] \frac{1}{4} [/tex] { (-4)³ + (10)² }

[tex] \frac{1}{4} [/tex] ( -64 + 100 )

[tex] \frac{1}{4} [/tex] ( 36 )

[tex] \frac{1}{4} [/tex] × 36

[tex] \bf = \: 9 \: ( Answer ) [/tex]

“Or” meaning they want both. Since they each represent 1/14 add them together. 1/14+1/14=2/14. Then simplify 2/14 to get 1/7

So, the answer the 1/7

Answer:

The new coordinate after translating the figure are : (- 1 , -2)

Step-by-step explanation:

By using the following a translation mapping rule for this problem:

( x,y) → (x -2, y - 5)

Answer:

Step-by-step explanation:

If the questions  is    "What's x" then the answers is...

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

use CAH

Cos(x) = 46/60

x = arcCos(46/60)

x = 39.9445 °

Answer:

[tex]\displaystyle 40°[/tex]

Step-by-step explanation:

[tex]\displaystyle sec^{-1}\:1\frac{7}{23} = x; 39,94450519...° \\ \\ \boxed{40° \approx x}[/tex]

OR

[tex]\displaystyle cos^{-1}\:\frac{23}{30} = x; 39,94450519...° \\ \\ \boxed{40° \approx x}[/tex]

I am joyous to assist you at any time.

Answer:

the answer is c

Step-by-step explanation:

no soloutions have the same slope but different intercepts so it cannot be d because the slopes are different.

Answer:

6.4 mins

Step-by-step explanation:

Answer:

⇒ 5/2 min

Step-by-step explanation:

Hong sing total song = 4

Every song takes time = 5/8min

4 song total takes

time = 4×5/8= 20/8

5/2 min

hope it helps..

have a great day!!

Answer:

Aisha has 24 2p coins and 24 1p coins, then she has in total:

2p*(24) + 1*p*(24) = 48p + 24p = 72p

Step-by-step explanation:

Suppose that we have a set of N elements in a bag (if the bag is closed and we put our hand inside to grab one element, we could not distinguish them apart), and K of these elements have a given property (for example, these are red).

The probability of selecting at random one of these red elements is equal to the quotient between the number of elements with that property (K) and the total number of elements in the bag (N)

P = K/N

Now let's go to our problem.

We have 24 1p coins.

We have X 2p coins.

Then the total number of coins is: (24 + X)

We know that the probability of choosing at random a 2p coin is then:

P = X/(24 + X)

And we know that this is equal to 1/2

Then:

X/(24 + X) = 1/2

X = (1/2)*(24 + X) = 24/2 + X/2

X = 12 + X/2

X - X/2 = 12

X/2 = 12

X = 2*12 = 24

Then Aisha has 24 2p coins.

Aisha has 24 2p coins and 24 1p coins, then she has in total:

2p*(24) + 1*p*(24) = 48p + 24p = 72p

Step-by-step explanation:

If x=3, y=7 when x+y=z

z=3+7

z=10

Answer:

y = -3

Step-by-step explanation:

4x – 3y = 17

x = 2

4(2) - 3y = 17

8 - 3y = 17

-3y = 9

y = -3

Answer:

y= -3

Step-by-step explanation:

if x =2, substitute

4(2) - 3y = 17

8-3y = 17

(add 3y to both sides)

8= 17 + 3y

(subtract 17 from both sides)

8-17=3y

-9= 3y

(divide both sides by 3)

-9/3=y

y= -3

Answer:

[tex]512\pi[/tex]

use the formula

Answer:

34 Deg

Step-by-step explanation:

Since the Triangle is isoceles, each of the internal base angle = 180-107=73

Sum of internal angles =180,  Angle4= 180-(73+73)= 180-146=34

Answer:

-10 would be correct

Step-by-step explanation:

-10

Answer:

y = -3/4(x - 6)^2 + 3

Step-by-step explanation:

y = ax^2 + bx + c

(4, 0)

16a + 4b + c = 0     Eq. 1

(8, 0)

64a + 8b + c = 0     Eq. 2

(6, 3)

36a + 6b + c = 3      Eq. 3

We have a system of three equations in three variables.

Eq. 2 - Eq. 1

48a + 4b = 0      Eq. 4

Eq. 2 - Eq. 3

28a + 2b = -3     Eq. 5

Eq. 4 - 2 * Eq. 5

-8a = 6

a = -6/8

a = -3/4

48a + 4b = 0

48(-3/4) + 4b = 0

4b = 36

b = 9

16a + 4b + c = 0

16(-3/4) + 4(9) + c = 0

-12 + 36 + c = 0

c = -24

The equation of the parabola is

y = -3/4 x^2 + 9x - 24

y = -3/4(x^2 - 12x + 32)

y = -3/4(x^2 - 12x + 36) + (-3/4)32 - (-3/4)(36)

y = -3/4(x^2 - 12x + 36) -24 + 27

y = -3/4(x - 6)^2 + 3

Answer:

[tex] - 12288 \div {2}^{11} = - 6 \\ forth \: answer \: is \: correct[/tex]

Answer:

4th option

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

To find a₁ use a₁₂ = - 12288 , then

a₁ [tex](2)^{11}[/tex] = - 12288 , that is

a₁ × 2048 = - 12288 ( divide both sides by 2048 )

a₁ = - 6

Then the explicit formula is

[tex]a_{n}[/tex] = - 6 . [tex]2^{n-1}[/tex]

Answer:

See attachment

Step-by-step explanation:

We can graph this line using the equation given to us. The equation is in slope-intercept form, [tex]y=mx+b[/tex]. In this form, [tex]m[/tex] = slope and [tex]b[/tex] = the y-intercept.

So, we can tell that the slope is -[tex]\frac{1}{5}[/tex] and the y-intercept is (2,0).

We begin by plotting on the graph the y-intercept, (2,0).

The slope also equals the [tex]\frac{rise}{run}[/tex]. The slope is negative, so the line will slope down. From the point we have plotted, we will rise negative 1 unit. This means to move down 1 unit. From this point, we will run 5 units. Because the line is negative, we will move 5 units to the left, not the right. We land on point (5,1).

Now, we will draw a line from these two points. This is the line shown in the equation.

Good luck ^^

Answer:

12

Step-by-step explanation:

The computation of the volume of the rectangular prism is shown below:

As we know that

The  volume of the rectangular prism is

= length × width × height

where

Length is 2

width be 2

And, the height be 3

So, the  volume of the rectangular prism is

= 2 × 2 × 3

= 12

Answer:

x=2, x=a

Step-by-step explanation:

Answer:

7x (y + 6)

x(7 y + 42)

Step-by-step explanation:

Answer:

1. Corresponding Angles

2. Alternate Interior Angles

3. Alternate Exterior Angles

4. If <a=25 then <h will equal 25 because they are congruent

Answer:

2

Step-by-step explanation:

I think the correct answer would be 2

Answer:

[tex]\angle c[/tex] and [tex]\angle e[/tex]

Step-by-step explanation:

Given

See attachment

Required

Identify the vertical angles

Keynotes

Using the keynote as a reference, we have the following observation from the attachment:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are opposite

[tex]\angle c[/tex] and [tex]\angle e[/tex] are congruent

Hence:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are vertical

(d) is correct

Answer:

35+14.5x≥45

Step-by-step explanation:

35+14.5x≥45