can someone help me with this?

Answer:

Step-by-step explanation:

Answer:

C. \(f(0)=f(2)\)

Step-by-step explanation:

Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.

The function is not differentiable over [0, 2]. Therefore, the option B is the correct answer.

Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.

The given function is f(x)=x³/3 over [0, 2].

Here, f(0)= 2 and f(2)=2. Hence, according to the Rolle's theorem there should be at least one x for which f'(x)=0.

Now, f'(x)= 3x²/3

0=3x²/3

3x²=0

x²=0

x=0

Therefore, the option B is the correct answer.

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Answer:

Before entering data into the regression calculator, it is important to determine which variable should be associated with the x-axis and which with the y-axis. Enter the data pairs. Press the Linear Regression button to generate the regression line.

Step-by-step explanation:

edg 2022

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

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

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

sorry di ko din po knows

Step-by-step explanation:

sorry tagala

Answer:

1. Is 12

Step-by-step explanation:

start -15

tickets $15

min 9

remember you started -15 so the first 15 got you into positive so that one doesnt count wich means you now have to miltiply 15*8=120

Answer:1.5

Step-by-step explanation:

Y=1/2 of x

Answer:

\(sum \: angle \: of \: a \: triangle \: = 180 \\ here \: 90 + x + y = 180 ....(1)\\ but \: given \: that \: x = \frac{y}{5} \\ y = 5x .....(2)\\ put \: (2) \: in \: (1) \\ = > 90 + x + 5x = 180 \\ 90 + 6x = 180 \\ 6x = 180 - 90 = 90 \\ 6x = 90 \\ x = \frac{90}{6} = 15 \: degree \\ angle \: for \: a \: stright \: \: line \: = 180 \\ x + unknown = 180 \\ 15 + unknown = 180 \\ unknown = 180 - 15 = 165 \: degree \\ thank \: you\)

Every problem has a solution .Lets solve it .

Here given that

\(\\ \sf\longmapsto x=\dfrac{y}{5}\)

\(\\ \sf\longmapsto y=5x\dots(1)\)

Now

As its a triangle

\(\\ \sf\longmapsto 90+x+y=180\)

\(\\ \sf\longmapsto 90+x+5x=180\)

\(\\ \sf\longmapsto 6x+90=180\)

\(\\ \sf\longmapsto 6x=180-90\)

\(\\ \sf\longmapsto 6x=90\)

\(\\ \sf\longmapsto x=\dfrac{90}{6}\)

\(\\ \sf\longmapsto x=15\)

We need not to find y

See the marked angle and x are supplementary angles hence there sum will be 180

\(\\ \sf\longmapsto x+15=180\)

\(\\ \sf\longmapsto x=180-15\)

\(\\ \sf\longmapsto x=165\)

The required angle is 165°.

Answer: It would take Kala 11 hours to drive 693 miles

Step-by-step explanation:

315/5=63 miles an hour

693/63=11 hours

It would take Kala 11 hours to drive 693 miles

Answer:

asraerysuyjsathsyjtdtgagtash

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Slope is defined as rise over run, so it is (26-11)/(5-2) = 15/3 = 5

Answer:

slope is 5

Step-by-step explanation:

slope formula says m= y2-y1/x2-x1

m=26-11/5-2

m=15/3

m=5

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Answer:

Rental charge: $4.00

Per-day fee: $1.50

Explanation:

We see that Gina (terrible name) was late for 3 more days than Nate, and as a result paid $4.50 more than him. So, using basic division, we find that for each day, Gina paid $1.50. We can also use this same information to find the base fee via subtracting Gina's total paid amount by 1.50 x 4 (since she was late four days). And that brings us to $4.00 as base fee

The difference in the depth of a local river, which averages 20 ft from January to July, is 16 ft deep.

Mathematically, the difference is the result of a subtraction operation.

The subtraction operation is one of the four basic algebraic operations, including addition, division, and multiplication.

With the subtraction operation, the minuend is deducted from the subtrahend to get the result called the difference.

The depth of the local river in January = 6 ft deep or |-6|

The depth of the river in July = 22 ft deep or |-22|

The difference from January to July = 16 feet deep or |-16| (|-22| - |-6|)

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Answer:

w=9+2u/6

Step-by-step explanation:

-2u+6w=9

+2u on both sides

6w=9+2u

/6 on both sides

w=9+2u/6

Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

The area of ΔQRS is 26.10 square units.

What is triangle?

A triangle is a closed, two-dimensional geometric shape with three straight sides and three angles.

To find the area of \($\triangle QRS$\), we can use the formula:

\($Area = \frac{1}{2} \times base \times height$\)

where the base and height are the length of two sides of the triangle that are perpendicular to each other. We can find these sides using trigonometry.

First, we need to find the length of side \($QR$\). We can use the Law of Cosines:

\($QR^2 = QS^2 + RS^2 - 2(QS)(RS)\cos(R)$\)

where \($R$\) is the angle at vertex \($R$\). Substituting the given values, we get:

\($QR^2 = 9^2 + 5^2 - 2(9)(5)\cos(57^\circ)$\)

\($QR \approx 8.02$\)

Next, we need to find the height of the triangle, which is the perpendicular distance from vertex \($R$\) to side \($QS$\). We can use the sine function:

\($\sin(R) = \frac{opposite}{hypotenuse}$\)

\($\sin(57^\circ) = \frac{height}{8.02}$\)

\($height \approx 6.51$\)

Now we can find the area of the triangle:

\($Area = \frac{1}{2} \times QR \times height$\)

\($Area = \frac{1}{2} \times 8.02 \times 6.51$\)

\($Area \approx 26.10$\) square units

Therefore, the area of \($\triangle QRS$\) is approximately \($26.10$\) square units.

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It will take 2.96 minutes for the electric heating element to raise the temperature of cold water from to the boiling temperature.

The power rating of the electric heating element can be determined by using the equation:

Power = (Mass of water × Specific heat capacity × Change in Temperature)/Time taken

For the given case, the power rating of the electric heating element = (1 L × 4.18 kJ/kgK × 100°C)/25 min = 16.7 kW

To determine how long it will take for this heater to raise the temperature of cold water from to the boiling temperature, we can use the equation:

Time taken = (Mass of water × Specific heat capacity × Change in Temperature)/Power

For the given case, the time taken = (1 L × 4.18 kJ/kgK × 100°C)/16.7 kW = 2.96 min.

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Answer:

It's dependent variable

Step-by-step explanation:

The dependent variable is the item that responds to the change of the independent variable. The dependent variable depends/changes when the independent variable is changed.

Answer:

10

Step-by-step explanation:

5+9+10+11+12+13=60 divided by 6 = 10

Mean = Sum of all observations/Number of observations

Mean = 12 + 13 + 9 + 5 + 11 + 10/6

=60/6

= 10

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The expression given makes sense for the values of a < 11.2.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

For example, square root of 16 is 4 since 4 × 4 = 16

The given expression is √(7 - \(\frac{5a}{8}\)).

Since the variable is inside the square root, the expression inside the square root must be positive in order to make sense.

That is,

7 - \(\frac{5a}{8}\) > 0

Adding  \(\frac{5a}{8}\)  on both sides,

7 >  \(\frac{5a}{8}\)

Or this can be written as,

\(\frac{5a}{8}\) < 7

5a < 7 × 8

5a < 56

a < 56/5

a < 11.2

Hence the values of a must be less than 11.2.

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Answer:

\(\huge\boxed{b = \sqrt{a}}\)

Step-by-step explanation:

If we have an equation \(b^2 = a\) and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.

\(b^2 = a\)

To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.

\(\sqrt{b^2} = \sqrt{a}\)

\(b = \sqrt{a}\)

So b is the square root of a.

Hope this helped!

Answer:

It should be 10 for the first box, 1000 for the second box and 100 for the third box.

Step-by-step explanation:

Each extra decimal place value added, u have to multiply it by the next value place such as tenths/hundreths/thousandths

Answer:

d(3) = - 25

Step-by-step explanation:

Using the recursive formula with d(1) = 3, then

d(2) = d(1) - 14 = 3 - 14 = - 11

d(3) = d(2) - 14 = - 11 - 14 = - 25

Thus the 3 rd term in the sequence is - 25

Tom's estimated travel time is approximately 13.6 hours.

Based on the given scenario, Tom is traveling a distance of approximately 340 nautical miles from Houston to New Orleans by boat. He will be using a medium-sized recreational boat with an average speed of 25 miles per hour.

To estimate the time it will take for his journey, we can use the formula:

Time = Distance / Speed

Substituting the values, we have:

Time = 340 miles / 25 miles per hour

Calculating the division, we find that Tom's estimated travel time is approximately 13.6 hours.

However, it is important to note that this estimate assumes a continuous journey without considering other factors that may affect the travel time. Various elements can impact the actual duration, such as weather conditions, water currents, navigational challenges, refueling stops, and any necessary rest breaks.

Additionally, it is essential for Tom to adhere to all boating regulations and safety guidelines to ensure a smooth and secure voyage.

To obtain a more accurate estimate, Tom should consult local boating authorities, marinas, or experienced sailors familiar with the route.

They can provide valuable insights into the specific conditions and offer guidance on potential challenges that may affect the travel time. Planning for additional buffer time is also recommended to account for unforeseen circumstances and to prioritize safety during the journey.

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The complete question may be like:

Tom plans to travel by boat from Houston, Texas, to New Orleans, Louisiana. He wants to estimate the time it will take for his journey. The distance between the two cities by water is approximately 340 nautical miles. Tom will be traveling on a medium-sized recreational boat that has an average speed of 25 miles per hour. Considering normal weather conditions and assuming a continuous journey, how long will it take Tom to reach New Orleans?

Please provide an answer based on this scenario, taking into account the distance, average speed, and any other relevant factors.

ABC is a right angle

Third angle 45°

Its a isoceles Right Triangle because base angles are equal then two sides are also equal.

Must click thanks and mark brainliest

Answer:

x² - 10x + 24

Step-by-step explanation:

(x -4)(x - 6)

To write this in standard form, we need to FOIL the binomials.

FOIL: first – outer – inner – last

F: x • x = x²

O: x • -6 = -6x

I: -4 • x = -4x

L: -4 • -6 = 24

Combine the new terms.

x² - 6x - 4x + 24

Combine like terms.

x² - 10x + 24

This is your polynomial in standard form.

Hope this helps!

The Distance around the track is 400.4 meters

In order to determine the distance around a track with two straight sections and two curved ends,

we must first determine the lengths of each section.

Let us consider the given diagram.The distance of the straight section can be determined by adding the length of two opposite sides together. Let us assume that each side of the straight section measures 50 meters. Thus, the total length of the straight section is:50m + 50m = 100mTo calculate the length of the curved sections, we must first determine the radius of each section.

This can be done by dividing the diameter by 2, since the diameter is not given,

we can divide the total length of each curved section by pi (3.14) and then divide the answer by 2 to get the radius of each section.

Let's say the total length of each curved section is 150 meters, therefore, the radius is:150m / 3.14 / 2 = 23.89m (rounded to the nearest hundredth)

Therefore, the circumference of each curved section is:2πr = 2 x 3.14 x 23.89 = 150.18m (rounded to the nearest hundredth)

So, the total distance around the track is:100m + 150.18m + 150.18m = 400.36 meters (rounded to the nearest tenth).

Therefore, the distance around the track is 400.4 meters (rounded to the nearest tenth).

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