Answers that represent the same level of precision.100.6 42 1.1 23.45

Answer:

The answer is A

Step-by-step explanation:

I got it  right on the test.

Answer:

  k = 1/9

Step-by-step explanation:

In order for the function to be continuous at x=9, the values of the two expressions must be the same at x=9.

The first expression evaluates to ...

  \(\dfrac{\sqrt{9}-3}{-9}=-\dfrac{3-3}{9}=0\)

The second expression needs to have the same value:

  \(1 -k(9) = 0\\\\1 = 9k\\\\\boxed{k=\dfrac{1}{9}}\)

Answer:

\(k=1/9\)

Step-by-step explanation:

A function is continuous at a point if and only if:

\(\lim_{x \to n} f(x)=f(n)\)

So, we have the piecewise function:

\(f(x) = \left\{ \begin{array}{lI} \frac{\sqrt{x} -3}{-9} & \quad0< x <9 \\ 1-kx & \quad x\geq 9 \end{array} \right.$$\)

And we want to find the value of k such that the function is continuous.

First, find the left hand limit of f(x):

\(\lim_{x\to9^-} f(x)\)

Since we're coming from the left, we'll use the first equation. Thus:

\(=\lim_{x\to9^-} \frac{\sqrt{x}-3}{-9}\)

Direct substitution:

\(=\frac{\sqrt{9}-3}{-9}\)

Simplify:

\(=\frac{3-3}{-9}\)

Subtract and divide:

\(=\frac{0}{-9}=0\)

So, what this tells us is that for the function to be continuous, the right hand limit as  f(x) approaches 9 from the right must also be equal to 0.

Therefore:

\(\lim_{n \to 9^+} 1-kx=0\)

Direct substitution:

\(1-9k=0\)

Subtract 1 from both sides:

\(-9k=-1\)

Divide both sides by -9:

\(k=1/9\)

Therefore, the value of k is 1/9.

So, our equation in the end is:

\(f(x) = \left\{ \begin{array}{lI} \frac{\sqrt{x} -3}{-9} & \quad0< x <9 \\ 1-\frac{1}{9}x & \quad x\geq 9 \end{array} \right.$$\)

Step-by-step explanation:

sin(30°)cos(45°) + cos(30°)sin(45°)=1+√3/2√2

The graph of the quadratic function is on the image at the end.

Here we want to graph the quadratic function:

f(x) = -x² - 2

To do so, we can complete the table of values by evaluating the function.

if x = ±2 then:

f(±2) = -(±2)² - 2 = -4 - 2 = -6

if x =  ±1

f(±1) = -(±1)² - 2 = -1 - 2 = -3

if x = 0

f(0) = -(0)² - 2 =  - 2 = -2

Then we have the points:

(-2, -6), (-1, -3), (0, -2), (1, -3), (2, -6)

Now just graph these points and connect them with a curve. The graph of the parabola is below.

The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

Learn more about Volume here:

https://brainly.com/question/13338592

#SPJ1

Answer:

Step-by-step explanation:

The line in slope intercept form :

y = mx + p

Where m is the slope

and p is the y value of the y intercept point

…………………………………………………………………

the y intercept point is (0 , 5) then p = 5

Slope calculation:

(0 , 5) and (2 , 15) are two points of the line , then

\(m=\frac{15-5}{2-0} =\frac{10}{2} =5\)

Conclusion:

y = 5x + 5

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

Learn more about lines at: https://brainly.com/question/30003330

#SPJ1

Answer: The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

Step-by-step explanation:

The statement that is true about the result considering a significance level of 5% is B. The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

This refers to the analysis of numbers and data to make an inference about a thing.

Hence, we can see that based on the research made about the growth rate of corn, we can see that from the significance level of 5%, we can see that spraying the corn plants with the new type of fertilizer does increase the growth rate.

Read more about statistics here:

https://brainly.com/question/12150562

#SPJ2

Answer:

4 5/8

Step-by-step explanation:

7 7/8= 63/8

3 1/4= 13/4= 26/8

63/8 - 26/8= 37/8

37/8= 4 5/8

\(\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}\)

Let the no. of students be x

total cost = y

Then the first equation will be

8x + 20 = y

And the second equation will be

3x + 40 = y

A system of two equations where each equation models the total cost y to take x students on each field trip is;

8x + 20 = y

3x + 40 = y

The total cost y is 48 to take x = 4 students on each field trip.

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables.

A science teacher is planning a field trip to either the aquarium or the science center.

The aquarium charges $20 for the class tour guide and also charges $8 per student.

The science center charges $3 per student and has a class lab fee of $40.

Let the total cost y to take x students on each field trip.

The aquarium charges $20 for the class tour guide and also charges $8 per student.

8x + 20 = y

The science center charges $3 per student and has a class lab fee of $40.

3x + 40 = y

On solving both the equation

Substitute the value of y in the equation 2

3x + 40 = y

3x + 40 = 8x+20

8x - 3x = 40-20

5x = 20

x = 20/5

x = 4

Substitute the value of x in the equation 1

3x + 40 = y

2(4) + 40 =y

8 + 40 = y

y = 48

Hence, the total cost y is 48 to take x = 4 students on each field trip.

Learn more about the system of the equation here;

https://brainly.com/question/8119922

#SPJ2

Answer:

The area of this triangle is about 21.2132 square units.

Step-by-step explanation:

First, find the lengths of the legs AB and BC.

Length of AB ===

Find the difference in position vertically:

\(-2-4=-6\)

The points are 6 units apart vertically.

Find the difference in position horizontally:

\(3-0=3\)

The points are 3 units apart horizontally.

These lengths form a right triangle with the distance between the points as the hypotenuse, so you can use the pythagorean theorem to solve:

\(a^2+b^2=c^2\\3^2+6^2=c^2\\9+36=c^2\\45=c^2\\c\approx6.7082\)

AB is about 6.7082 units long.

Length of BC ===

Same process as above.

Find the vertical distance:

\(-4--2=-2\)

2 units apart vertically.

Find the horizontal distance:

\(-3-3=-6\)

6 units apart horizontally.

Use the pythagorean theorem:

\(2^2+6^2=c^2\\4+36=c^2\\40=c^2\\c=6.3246\)

BC is about 6.3246 units long.

Area ===

Finally, you can use these to find the area of the triangle. The area of a right triangle is just half the area of a rectangle with the same base and height:

\(A=\frac{b\times h}{2}\\\\A=\frac{6.7082\times6.3246}{2}\\\\A=\frac{42.4264}{2}\\\\A=21.2132\)

The area of this triangle is about 21.2132 square units.

Using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.

In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

So, we have the equation:

x²-3x+ 5 = 0

Now, solve it using the quadratic formula as follows:

x²-3x+ 5 = 0

a = 1

b = -3

c = 5

x = -(-3)±√(-3)² -4*1*5/2

Solve this further:

x = 3±√11/2

Therefore, using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

Know more about the quadratic formula here:

https://brainly.com/question/1214333

#SPJ1

Correct question:

Solve x²-3x+ 5 = 0.

A.3+√-29 +VE/2 and 3- 2-29

B. 3+√29 and 3-√29

C. 3+√-11 and 3-√-11/2

D. 3+√11/2 and 3-√11/2

Answer:

32 is the best possible answer

Answer:

A

Step-by-step explanation:

The expression of the n-th term of an arithmetic sequence is

The problem here is to find the initial value a1 and the value of d (common difference), then, let's write that equation for each value that we have, first, let's do n = 5

Now let's repeat the process for n = 11

Now we have a system of equations!

To solve that system we can subtract the equations

We can find a1 now because we have the value of d, we can use any of the two equations we wrote to do it, I'll use the first one

Now we have all the term to write the rule of the n-th term,

The rule for the n-th term is

Answer:

D stays for 1 and as B is -6

the length of BD should be 7

good luck <3!

Answer:

3,550 $15 tixkets and 4,550 $25 tickets were sold.

Step-by-step explanation:

15 × 3550=53250

25 × 4550=113750

53250+113750=167000

(A)

\(\dfrac{\partial f}{\partial x}=-16x+2y\)

\(\implies f(x,y)=-8x^2+2xy+g(y)\)

\(\implies\dfrac{\partial f}{\partial y}=2x+\dfrac{\mathrm dg}{\mathrm dy}=2x+10y\)

\(\implies\dfrac{\mathrm dg}{\mathrm dy}=10y\)

\(\implies g(y)=5y^2+C\)

\(\implies f(x,y)=\boxed{-8x^2+2xy+5y^2+C}\)

(B)

\(\dfrac{\partial f}{\partial x}=-8y\)

\(\implies f(x,y)=-8xy+g(y)\)

\(\implies\dfrac{\partial f}{\partial y}=-8x+\dfrac{\mathrm dg}{\mathrm dy}=-7x\)

\(\implies \dfrac{\mathrm dg}{\mathrm dy}=x\)

But we assume \(g(y)\) is a function of \(y\) alone, so there is not potential function here.

(C)

\(\dfrac{\partial f}{\partial x}=-8\sin y\)

\(\implies f(x,y)=-8x\sin y+g(x,y)\)

\(\implies\dfrac{\partial f}{\partial y}=-8x\cos y+\dfrac{\mathrm dg}{\mathrm dy}=4y-8x\cos y\)

\(\implies\dfrac{\mathrm dg}{\mathrm dy}=4y\)

\(\implies g(y)=2y^2+C\)

\(\implies f(x,y)=\boxed{-8x\sin y+2y^2+C}\)

For (A) and (C), we have \(f(0,0)=0\), which makes \(C=0\) for both.

Answer:

-23

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

The one way to change the following into a statistical question are:

A statistical question can be described as the question which the answers ca be gotten as a result of the collection data that are vary, unlike many questions, statistical question needs some of the ways that the data needed will be gotten before the question can be asked.

Read more about statisticsat:

https://brainly.com/question/15525560

#SPJ1

Answer:

125 cm

Step-by-step explanation:

If you separate the shape, you get an area of 50, 50, and 25. you then add these together to get 125

Answer:

B. The graph would shift 5 units up.

Step-by-step explanation:

Before the change:

Before the change, the function was given by:

\(y = x^2 - 3\)

After the change:

After the change, the function was given by:

\(y = x^2 + 2\)

Considering the function as it was before the change, it can also be written as:

\(y = x^2 - 3 + 5\)

Which means that 5 was added to the function, and when a number n is added to a function, there function is shifted n units up. So the correct answer to this problem is given by option B.

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

for more such question on fraction visit

https://brainly.com/question/30122573

#SPJ8

Answer:

7000

Step-by-step explanation:

Because kilo means a thousand so for example 1kg=1000g

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Smaller t = 2

Larger t = 5

Step-by-step explanation:

Given:

The given function is.

Find the zeros of the function.

Solution:

Simplify the equation above equation.

Now, we first find the root of the above equation.

Use quadratic formula with .

Put a, b and c value in above equation.

For positive sign

t = 2

For negative sign

t = 5

Put t = 2 in given function.

Put t = 5 in given function.

So, the zeros of the function is t = 2 or 5

Therefore, the smaller value of t = 2 and larger value of t = 5.

Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

Since a reflection does not change the measures of the sides of the quadrilateral ABCD, then both quadrilaterals (ABCD and A'B'C'D) will have the same size and the same angles.