What is the value of X in the figure

5⁵ / 5⁸

Using the exponent rule:

In our problem:

a = 5

x = 5

y = 8

Then, the result is:

Answer: the y-intercept is -3

Step-by-step explanation:

if you ever need to find the y-intercept, here is how to do it:

the y-axis is the line that goes up and down. wherever the line from the equation crosses that y-axis line, that is going to be the y-intercept. as you can see here, they intercept at -3.

Answer:

I think it is 56

Step-by-step explanation:

Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

#95141404393

1 cm is equal to 10 mm.

The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3

For the equation to be true, two scenarios need to be considered:

When the expression 6x-3 is positive and equals 3:

6x-3 = 3

When the expression 6x-3 is negative and equals -3:

6x-3 = -3

By solving these two equations, we can find the equivalent statement:

Solving 6x-3 = 3:

Adding 3 to both sides gives us:

6x = 6

Dividing both sides by 6:

x = 1

Solving 6x-3 = -3:

Adding 3 to both sides gives us:

6x = 0

Dividing both sides by 6:

x = 0

Therefore, the equivalent statement to |6x-3|=3 is:

6x-3=3 or 6x-3=-3, which can be further simplified to:

6x-3=3 or 6x-3=-3

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Answer:

f(3) = 3 + 1 = 4

Step-by-step explanation:

Since 3 > 0, we need to focus on the part of the function where x > 0. So:

f(3) = 3 + 1 = 4.

The equation connecting z and p is:

z = x + (1/p)

To find z when p = 6, we can use the values of x and y when p = 2 and p = 4 to calculate the corresponding value of z when p = 6.

When p = 2, x = 4 and y = 1, so z = 5

When p = 4, x = 16 and y = 0.25, so z = 16.25

Therefore, when p = 6, x = 36 and y = 0.167, so z = 36.167

Answer:: 5 minutes or 1/12 hour

Step-by-step explanation:

The table which shows that y vary directly with x is the first table, second table and third table.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the first table, using the points (1, 3) and (3, 9):

y = 3x

From the second table, using the points (-4, -2) and (-2, -1):

y = (1/2)x

From the third table, using the points (-2, 2) and (-1, 1):

y = -x

The table which shows that y vary directly with x is the first table, second table and third table.

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Hence, He had to pay $ 18.11 for the tip on a restaurant bill.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Josiah ate dinner at a restaurant and his bill was $15.75,

He wanted to leave  15% tip,

Then He had to pay,

=15.75+15 % of 15.75

=15.75 + 0.15*15.75

=18.11

Hence, He had to pay $ 18.11 for tip on the restaurant bill.

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The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

Step-by-step explanation:

o prove the first associative law of set theory, we need to show that for any sets A, B, and C:

A ∪ (B ∪ C) = (A ∪ B) ∪ C

To do this, we need to show that any element that is in the left-hand side of the equation is also in the right-hand side, and vice versa.

First, let's consider an arbitrary element x.

If x ∈ A ∪ (B ∪ C), then x must be in A, or in B, or in C (or in two or more of these sets).

If x ∈ A, then x ∈ A ∪ B, and so x ∈ (A ∪ B) ∪ C.

If x ∈ B, then x ∈ B ∪ C, and so x ∈ A ∪ (B ∪ C), which means that x ∈ (A ∪ B) ∪ C.

If x ∈ C, then x ∈ B ∪ C, and so x ∈ A ∪ (B ∪ C), which means that x ∈ (A ∪ B) ∪ C.

Therefore, we have shown that if x ∈ A ∪ (B ∪ C), then x ∈ (A ∪ B) ∪ C.

Next, let's consider an arbitrary element y.

If y ∈ (A ∪ B) ∪ C, then y must be in A, or in B, or in C (or in two or more of these sets).

If y ∈ A, then y ∈ A ∪ (B ∪ C), and so y ∈ (A ∪ B) ∪ C.

If y ∈ B, then y ∈ A ∪ B, and so y ∈ A ∪ (B ∪ C), which means that y ∈ (A ∪ B) ∪ C.

If y ∈ C, then y ∈ (A ∪ B) ∪ C.

Therefore, we have shown that if y ∈ (A ∪ B) ∪ C, then y ∈ A ∪ (B ∪ C).

Since we have shown that any element that is in the left-hand side of the equation is also in the right-hand side, and vice versa, we can conclude that:

A ∪ (B ∪ C) = (A ∪ B) ∪ C

This proves the first associative law of set theory.

Answer:

t1 = S / (15 + 2)      time to cross with wind

t2 = S / (15 -2)       time to cross against wind

t = t1 + t2 = S / 17 + S / 13 = 30 S / 221 = .136 S    where t is in hours

S = .667 hrs / .136 hrs/mi = 4.90 mi

Avg speed = 2 * 4.90 mi / .667 hr   = 14.7 mph

Answer:

20

Step-by-step explanation:

Answer:

60 feet

Step-by-step explanation:

Answer:

the value of x must be -2 . ie option b

Answer:

x-1=-x²+2x+5

-x²+(2x-x)+(5+1)=0

-x²+x+6=0

(x-3)(x+2)

x=3 or x=-2

Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856

Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

Answer:

y = 6x - 2

Step-by-step explanation:

We will use the slope-intercept form of a line to help us.  We know the slope, we need to determine the y-intercept.  To find this, we need an x and y on the line and the slope.  Fortunately, they have given us all of the information.  An ordered pair is in the form (x,y)  So we will use x = 1 and y = 4 from the point they have given us (1,4)  They have also given us the slope of 6.  We will plug this all into our equation and solve for b  the y-intercept.

y = mx + b

4 = 6(1) + b  

4 = 6 + b  Subtract 6 from both sides of the equation.

-2 = b

Now, write the equation

y = mx + b

y = 6x -2

To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.

Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.

Using trigonometry, we can set up the following equation:

tan(32°) = h / 750

To find the value of h, we can rearrange the equation:

h = tan(32°) * 750

Using a calculator, we can find the value of tan(32°) ≈ 0.6249.

Now we can calculate the height of the shuttle:

h ≈ 0.6249 * 750

h ≈ 468.675 meters

Therefore, the height of the shuttle is approximately 468.675 meters.

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Answer: x = 1/2

Step-by-step explanation:

4x - 2x - 4 + 3

2x - 1

x = 1/2

For the market to achieve market equilibrium, D. The monthly supply of milk must increase by 8 billion gallons.

In order to reach a state of market balance, characterized by the amount of milk demanded equating to the amount supplied each month, there needs to be a boost in the monthly milk supply.

There is a monthly shortage of 8 billion gallons due to the difference between the supply of 10 billion gallons and the required amount of 18 billion gallons. Hence, it is imperative to augment the monthly milk supply by 8 billion gallons to fulfill the stipulated market demand.

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\( \huge \green{\underbrace{ \red{\rm \: Answer}}}\)

D. The monthly supply of milk must increase by 8 billion gallons.

\(\rule{1000pt}{1pt}\)

Thankyou:D

Answer:

Question 1: 29

Question 2: 50

Question 3: AD≅BC

Step-by-step explanation:

question 1: Since it's a parallelogram opposite sides are equal.

4x+5=5x-1   add one to both sides

4x+6 =5x subtract 4x from both sides

6 = x

So AD is equal to 5(6) - 1 = 30-1 =  29=AD

Question 2: Since diagonals in a parallelogram bisect each other AE = EC

So...

5x+5 = 8x- 7 add 7 to both sides

5x+12 = 8x subtract 5x from both sides

12=3x divide both sides by 3

4=x

AC= 5(4) + 5 + 8(4) - 7

AC= 20 + 5 + 32 - 7

AC= 50

Question 3: Lines can only be congruent, represented by ≅, not equal which is represented by =. Values can be equal.

By using the elimination method you get the answer  line AD ≅ line BC

Answer:

D.

Thats what gauth.math said

By translating, the sum of x and 22 is x + 22

Since the sum is 49, the equation would be

x + 22 = 49

The next step is to subtract 22 from both sides of the equation. We have

x + 22 - 22 = 49 - 22

x = 27