Simplify the expression below:

If x= 8

4x+8/2​

I hope this is help full to you

Answer:

26, 28, and 30

...............

Answer:

In the first movie, Elsa is 21, Anna is 18, and Kristoff is 23.

So after 3 years, Elsa would be 23, Anna would be 21, and Kristoff would be 26.

Step-by-step explanation:

I didn't fully understand the question, so I tried my best.

Forgive me if I am wrong.

Answer:

288 inches

Step-by-step explanation:

1 yard= 36 inches.

36x8=288

Answer:

It would be 288 inches

Step-by-step explanation:

8 divided by ? inches

1 yard = 36 inches

36 inches times 8 yards = 288 inches

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The y-intercept of the line of fit is approximately 43.94 fluid ounces.

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

The answer is 35. If the theoretical probability of drawing two yellow socks is one fifth, then the experimental probability of drawing two yellow socks in one trial with replacement is also one fifth. Therefore, out of 175 trials, the number of times he will select two yellow socks can be predicted by multiplying the number of trials by the experimental probability: 175 * (1/5) = 35.

No, because for each input there is not exactly one output. The relation is not a function because for the input x = -5, there are two possible outputs: y = 1 and y = -1. Therefore, the relation violates the vertical line test, which requires that every vertical line intersects the graph at most once for the relation to be a function.

The y-intercept of the line of fit is approximately 43.94 fluid ounces. To find the y-intercept, we can look at the point where the line of fit intersects the y-axis (i.e., when x = 0). From the equation of the line of fit, we can see that the y-coordinate when x = 0 is approximately 43.94, which represents the initial amount of diet soda in the machine before it starts to be purchased.

Therefore,  The y-intercept of the line of fit is approximately 43.94 fluid ounces.

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Answer:

5/14 or 0.357

Step-by-step explanation:

When we divide two fractions, such as 2/7 ÷ 4/5, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

The value of a3 is 30.

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

We are given that a_1 = 6 and \(a_n = n_a(n-1) + 2\)

Then Substitute as needed and do the arithmetic;

a_1 = 6

\(a_n = n_a(n-1) + 2\)

\(a_2 = -5a_1 +2 \\a_2= -5(6) +2 =-28\)

 \(a_ 3 = -5a_2 +2 = -(-28) +2 = 30\)

The value of a3 is 30.

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Answer:

y= − 5 x ^2 − 40 x − 78

Step-by-step explanation:

Write in standard form.

Answer

Xét f'(x)=0, tìm các giá trị x, lập bảng biến thiên

Đồ thị:

Step-by-step explanation:

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

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Answer:

the correct answer is D. (5/2x^3 -3/2x^2 +13x+ 20). Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height of the prism. In this case, the height of the prism is (1/2x-3), the length is (x+5), and the width is (x-4).

Substituting these values into the volume formula, we get:

V = (1/2x-3)(x+5)(x-4)

Expanding this expression using the distributive property, we get:

V = (1/2x^2 - 3x)(x+5)(x-4)

Using the distributive property again, we get:

V = (1/2x^2 - 3x)(x^2 + x - 20)

Using the distributive property once more, we get:

V = 1/2x^3 - 3x^2 - 4x + 20

This expression is equivalent to the expression in answer choice D. Therefore, the correct answer is D. (5/2x^3 -3/2x^2 +13x+ 20)

Answer:

84in

Step-by-step explanation:

Triangle Formula: 1/2bh

16*8=48*1/2 = 24

15*8= 120*1/2= 60

24+60= 84

The value of the fraction -6 3/5 -(-7 4/15) + 2 1/5 will be 2 13/15.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The value of the fraction -6 3/5 -(-7 4/15) + 2 1/5 will be:

= -6 3/5 -(-7 4/15) + 2 1/5

= 7 4/15 + 2 1/5 - 6 4/5

= 7 4/15 + 2 3/15 - 6 9/15

= 9 7/15 - 6 9/15

= 2 13/15

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Answer:

16.

Step-by-step explanation:

2|–9| – |–2|

= 2 * 9 - 2

= 18 - 2

= 16.

Answer:

\(x=\frac{37}{6} \\\)

Step-by-step explanation:

Since A and b are complimentary angles There sum is equal to 90°

In other words:

We know A = (7x+18)  and b = (5x-12)

Next, insert these values into the equation (A+ b = 90°):

\((7x+18) + (5x-12)=90\)

Drop the () since we are not multiplying anything

\(7x+18 + 5x-12=90\)

Combine like terms: 7x and 5x, 18 and-12

\(7x +5x +18-12=90\\\\12x+ 16=90\\\)

Subtract 16 from both sides of the equation

\(12x=74\\\)

Divide by 12 and get:

\(x=\frac{37}{6} \\\) or \(x=6.16666...\)

Hope this helps :)

Answer:

b< -76

Step-by-step explanation:

Answer is any number smaller than -76

Answer:

Answer:

b< -76

Step-by-step explanation:

8 - 1/4 b > 27         ⇒ add -8 to both sides

-1/4b > 27 - 8      

-1/4 b > 19              ⇒ multiply both sides by -4

b < - 4*19               ⇒ change inequality sing to opposite due to multiplication to negative number

b < - 76                  ⇒ answer

Answer is any number smaller than -76

Step-by-step explanation:

Recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

and the definition of tangent,

tan(x) = sin(x) / cos(x)

Given that tan(α) < 0 and cos(α) = -5/13 < 0, it follows that sin(α) > 0. Then using the identity above, we find

sin(α) = √(1 - cos²(α)) = 12/13

Now recall the double angle identity for sine,

sin(2x) = 2 sin(x) cos(x)

Then

sin(2α) = 2 sin(α) cos(α) = 2 • 12/13 • (-5/13) = -360/169

Answer:

lateral area =150 square feet

Step-by-step explanation:

lateral area =(perimieter of prism base) times the height of the prism

so, the perimeter of the base is 9 ft*2 + 6 ft*2 which equals 30 ft

then you multiply the perimeter of the base by the height of the prism

so, height of prism =5 ft, so 5 ft times 30 ft =150 feet

therefor, the lateral area of the prism = 150 feet squared

Step-by-step explanation:

6m/6 =12/6

m=2

Answer:

m=2

Step-by-step explanation:

Divide 6 on both sides

6m / 6 = 12/6

m= 12/6 = 2

So, m=2

Verification:

LHS = 6m   m=2

6 * 2 = 12

RHS = 12

Both the LHS and RHS are same, so our answer is correct

Answer:

first one is correct second one is 6 and third one is 2 and a half

Answer:

If one counts the blocks on the graph from the school to the stadium and back, there are three blocks one way and three blocks going back.

Altogether 6 blocks.

If Catelyn lives halfway between the park and the school, the amount of blocks is 5.

She lives halfway between.  Hence, what is 5 divided by 2?

2.5 or 2 1/2 blocks.

Step-by-step explanation:

After we evaluate the function f at the indicated values the results are

a. (4) −11, (5) −52, (6) 0

b. (4) -1, (5) −17, (6) -5

c. (4) −2a−5, (5) −5a² −2a−1, (6) −3+a

d. (4) −2a+5, (5) 5a² −2a+1, (6) 3+a

A relation in which there is only one possible pairing of each x and each y is called a function. It should be noted that while the reverse is true, the same y can be paired with different x. Vertical and horizontal lines are the only types of linear equations that are not functions.

Lets evaluate the function a. f(-3)

4. f(-3) = 2(-3)-5

          = −11

5. f(-3) = −5(-3)²+2(-3)−1

          = −52

6.  f(-3) = -3-1-(-3)+1

            = 0

Lets evaluate the function b. f(2)

4. f(2) = 2(2)-5

          = −1

5. f(2) = −5(2)²+2(2)−1

          = −17

6.  f(2) = -3-1-(2)+1

            = −5

Lets evaluate the function c. f(-a)

4. f(-a) = 2(-a)-5

          = −2a−5

5. f(-a) = −5(-a)²+2(-a)−1

          = −5a² −2a−1

6.  f(-a) = -3-1-(-a)+1

            = −3+a

Lets evaluate the function d. -f(a)

4. -f(a) = -(2(a)-5)

          = −2a+5

5. -f(a) = -(−5(a)²+2(a)−1)

          = 5a² −2a+1

6.  -f(a) = -(-3-1-(a)+1)

            = 3+a

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Answer:

m=2

Step-by-step explanation:

m=y2-y1/x2-x1

m=3-1/1-0

m=2/1

m=2

Answer:

2

Step-by-step explanation:

because i got it right on the quiz

Answer:

5. 3/4

7. -16

10. 32/243

11. a^3

12. b^4 and c^2

13. A mistake would occur if you multiplied 2/3 by five instead of squaring it by 5.

Step-by-step explanation:

4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

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She will get $8.01. Hope this helped.

a) the verbal translation would be:

"A student is on the math club or is in the debate club".

b) p V q has 16 elements.

Here we have some sets represented graphically with a Venn diagram.

First, we want to write the verbal translation of p V q, remember that the "V" means "or".

Then the verbal translation would be:

"A student is on the math club or is in the debate club".

Then we want to complete how many elements meet that condition. We can see that in the math club there are 7 students, and in the debate club there are 15, and there are 6 students that belong to both clubs, so the total number is:

N = 15 + 7 - 6

(we subtract 6 because these 6 belong to both clubs and we don't want to add them twice)

N = 15 + 7 - 6 = 16

p V q has 16 elements.

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