what is the coordinate of the vertex of the parabola y-2=1/12(x+10)

Answer:

240 yd^3

Step-by-step explanation:

The population in the study is the entire set of bottles of ketchup produced in the plant in the given year.

In the given scenario, the quality-control manager selects 100 bottles of ketchup filled on January 19 to assess the calibration of the filling machine. The population refers to the entire group or set of items that are of interest to the researcher. In this case, the researcher wants to evaluate the calibration of the filling machine for all bottles of ketchup produced in the plant throughout the given year.

Option A, which states that the population is all bottles of ketchup produced in the plant in the given year, is the correct choice. This option aligns with the objective of the study, which is to assess the calibration of the filling machine for all bottles of ketchup produced in the plant. The sample, on the other hand, refers to the subset of items that are selected from the population and used for analysis. In this case, the sample consists of the 100 bottles of ketchup that were randomly selected on January 19.

Options B and C are incorrect because they refer to the specific set of 100 bottles selected on January 19, which represents the sample, not the population. Option D is also incorrect because it refers only to the bottles produced on January 19, whereas the study aims to evaluate the calibration of the filling machine for all bottles produced throughout the given year. Therefore, the correct answer is option A, which represents the entire population of bottles of ketchup produced in the plant in the given year.

Learn more about ketchup here:

https://brainly.com/question/15398281

#SPJ11

Answer:

7930.3 miles = d

Step-by-step explanation:

The circumference equals

C = pi *d

24901 = 3.14 d

Divide each side by 3.14

24901 / 3.14 = d

7930.254777 = d

Rounding to the nearest tenth

7930.3 =d

Answer:

Mrs. Taylor bought 200 oranges ;) .

Answer:

200

Step-by-step explanation:

If 30% of the oranges were bad, then that means 0.3 * total number of oranges, were bad. so if 0.3 * total = 60, then 60/0.3 = total number of oranges.

Answer:

hope you like my answer is 75a²xy⁴

Answer:

See below.

Step-by-step explanation:

5x^2 y a y

3a y x^2

Can be written as:

5x^2 y^2 a + 3a y x^2

Add like terms:

5ax^2y^2 + 3ax^2y

The sum is 5ax^2y^2 + 3ax^2y

The sum has more than one term, so the sum is not a monomial.

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

The value of C, which represents the upper control limit (UCL) for the X-bar chart in the process of filling baby formula into bottles, is approximately 3.40552. This means that any average amount of baby formula above this limit may indicate a process out of control and require investigation.

To determine the value of C in this scenario, we need to use the formula for the control chart limits for an X-bar chart. The control limits for an X-bar chart with sample size n can be calculated using the following formula:

Upper Control Limit (UCL) = mean + A2 * R

Lower Control Limit (LCL) = mean - A2 * R

In this case:

The target value for the baby formula is 3 ounces.

The average amount of baby formula placed in the bottles is 2.941 ounces (mean).

The sample size is 200 bottles.

The standard deviation of the amounts is 0.1 ounce.

To calculate the value of C, we need to determine the value of A2, which depends on the sample size. The value of A2 can be found in statistical tables or calculated using statistical software. For a sample size of 200, A2 is typically 2.574.

Using the formula for the control limits, we can calculate the upper and lower control limits:

UCL = mean + A2 * R

= 2.941 + 2.574 * 0.18

= 2.941 + 0.46452

= 3.40552

LCL = mean - A2 * R

= 2.941 - 2.574 * 0.18

= 2.941 - 0.46452

= 2.47648

The value of C is the value of the upper control limit (UCL) in this case, which is approximately 3.40552.

To know more about  control limit refer here

brainly.com/question/32363084

#SPJ11

Answer:

A. 432=18x

B. 22-see explanation

C. 24

D. See if your rounded answer and the actual answer are close.

Step-by-step explanation:

A. He buys a new phone for $432, and pays each month. We will use the variable x, and "x" will represent how many months he pays. It says that he pays $18 per month, so the equation would be 432=18x.

B. We need to isolate x, and to do this we have to divide 432 by 18. To approximate this answer, round 432 to 440 and 18 to 20. Now, divide 440 by 20. We get 22, so this will be the estimation.

C. Divide 432 by 18. We get 24.

E. You can see if it is reasonable if they are close in value.

Rolle's Theorem can be applied on \(-x^2 + 9x\) on [0, 9]

What is Rolle's Theorem?

Rolle's Theorem states that

1) If f is continuous on [a, b]

2) f is differentiable on (a, b)

3) f(a) = f(b)

Then there exist a point c in (a, b) such that \(f^{'}(c) = 0\)

Here, f(x) = \(-x^2 + 9x\)

f is continuous on [0, 9] as it is a polynomial function.

f is differentiable on (0, 9)

f(0) = \(-0^2+9\times 0 = 0\)

f(9) = \(-9^2+9 \times 9 = 0\)

f(0) = f(9)

So Rolle's Theorem has been applied here

To learn more about Rolle's Theorem, refer to the link-

https://brainly.com/question/29438393

#SPJ4

Answer:

B is correct! Took the quiz 2021 <3. Yall b safe!

Step-by-step explanation:

There is only 1 dime because there are 3 quarters, 3nickels, and 1 dime which makes 7 coins

Answer:

square root of 16 is 4

square root of  -144 is -12

square root of 289 is 17

square root of -1 is -1

square root of 1 is 1

Step-by-step explanation:

The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.

The yield of each tree can be represented by the equation:

Yield = 126 - 2x

The total yield per acre is then given by:

Total Yield = (26 + x) * (126 - 2x)

To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.

Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:

d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0

Simplifying the equation, we get:

-4x + 252 - 52 - 2x = 0

-6x + 200 = 0

x = 200/6

x ≈ 33.33

Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.

To find the maximum harvest, we substitute the value of x into the equation for the total yield:

Total Yield = (26 + 33) * (126 - 2 * 33)

Total Yield ≈ 59 * 60

Total Yield ≈ 3540 bushels

Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

Learn more about harvest here:

brainly.com/question/16953777

#SPJ11

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

The solution of ∂z/∂x at point (1, 1 , 1)_ is,

⇒ ∂z/∂x (1, 1, 1) = -6

Given curve is,

5xy + z⁴x - 3yz = 3

Now,

Differentiate both sides with respect to x :

5y + 4z³x ∂z/∂x + z⁴ - 3y ∂z/∂x = 0

Solve for ∂z/∂x :

(4z³x - 3y) ∂z/∂x = - (5y + z⁴)

∂z/∂x = - (5y + z⁴) / (4z³x - 3y)

At the point (1, 1, 1), this derivative is,

∂z/∂x (1, 1, 1) = - (5 + 1) / (4 - 3)

∂z/∂x (1, 1, 1) = -6

Therefore, The solution of ∂z/∂x at point (1, 1 , 1)_ is,

⇒ ∂z/∂x (1, 1, 1) = -6

Learn more about differentiation visit:

https://brainly.com/question/954654

#SPJ4

Complete question is,

Find the value of StartFraction partial derivative z Over partial derivative x EndFraction at the point​ (1,1,1) if the equation 5 xy plus z Superscript 4 Baseline x minus 3 yz equals 3 defines z as a function of the two independent variables x and y and the partial derivative exists.

Answer:

Step-by-step explanation:

hope this helps you

Answer:

She bought 2 pairs of jeans

Step-by-step explanation:

$82- $13-$13-$13-$13=$30

$15*2=$30

$30=$30

she bought 2 pairs of jeans

Answer:

B

Step-by-step explanation:

I'm too lazy to explain but if you want me to I will

Answer:

give jaz brainliest also im not doing this for points

3.5 is the answer

I did the math and that is what i got.

Answer:

i think its 3.5

Step-by-step explanation:

you divide 21 by 6 i think, and that should give you what its increasing by

Answer:

5/21

Step-by-step explanation:

2/7 * 5/6 = 2 * 5 / 7 * 6 = 10 / 42 = 5/21

Hey there!

2/7 × 5/6

= 2 × 5 / 7 × 6

= 10 / 42

= 10 ÷ 2 / 42 ÷ 2

= 5 / 21

Therefore, your answer should be: 5/21

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

if there appears to be a relationship in scatterplot 4,The linear relationship in scatterplot 4 appears to be negative.

When examining scatterplot 4, we can see that as the values of the x-axis increase, the values of the y-axis decrease in a linear relationship. This implies that as the values of the x-axis increase, the values of the y-axis decrease at a constant rate. This indicates a negative linear relationship between the two variables, meaning that as one variable increases, the other variable decreases in a linear fashion.

Learn more about scatterplot here

https://brainly.com/question/25280625

#SPJ4

Answer:

-1 < x ≤ 3

Step-by-step explanation:

First, we need to simplify this inequality.

9 > -5x + 4 ≥ -11 (Given)

5 > -5x ≥ -15 (Subtract 4 on both sides)

-1 < x ≤ 3 (Divide -5 on both sides)

Note that the signs flip due to dividing by a negative number.

Answer:

\(-1<x\leq3\)

Step-by-step explanation:

Let's take two equations from this and them put them back together! So:

9>-5x+4

and

\(-5x+4\geq -11\)

For the first one:

9>-5x+4

Subtract 4 from both sides

5>-5x

Then divide by -5 (Remember to change the direction of the sign!):

-1<x

Now onto the second one:

\(-5x+4\geq -11\)

Subtract 4 from both sides:a

\(-5x\geq -15\)

Then divide by -5 (Remember to change the direction of the sign!):

\(x\leq 3\)

Now add the equations back together:

\(-1<x\leq3\)

The values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.

The expression p(- x ≤ t22 ≤ x) represents the probability of a t-distribution with 22 degrees of freedom lying between - x and x.

We want to find the values of x such that this probability is 0.98.

We can use a table of t-distribution probabilities or a calculator to find the value of t for which the probability of a t-distribution with 22 degrees of freedom lying between −t and t is 0.98.

This value is , 2.518.

Therefore, we need to solve the inequalities:

-2.518 ≤ -x ≤ 2.518

Solving for x, we get:

-2.518 ≤ -x x ≤ 2.518

Therefore, the values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ12

Answer: B and C

Step-by-step explanation:

Answer:

A, B, and C

Step-by-step explanation:

If Figure M is a scaled copy of Figure N, the shape will stay the same, the angles will stay the same, and the edges will stay the same. The only thing that will change is the perimeters and area.

The value of the logarithmic function log 2 log 2 log 2 16 is equal to 4. To see why, we can simplify the expression by evaluating each logarithm one at a time:

log 2 16 = 4, since 2 to the fourth power is 16. log 2 (log 2 16) = log 2 4 = 2, since 2 to the second power is 4.log 2 (log 2 (log 2 16)) = log 2 2 = 1, since 2 to the first power is 2.Therefore, the overall value of the expression is 1+2+1=4.
The value of the logarithmic function log₂(log₂(log₂(16))) can be found by evaluating each log step by step.

1. First, find the value of log₂(16): log₂(16) = 4 (since 2^4 = 16)
2. Next, find the value of log₂(log₂(16)) which is log₂(4): log₂(4) = 2 (since 2^2 = 4)
3. Finally, find the value of log₂(log₂(log₂(16))): log₂(2) = 1 (since 2^1 = 2)
So, the value of the given logarithmic function is 1 (option b).

To know more about logarithmic click here

brainly.com/question/31117877

#SPJ11

The addition equation to represent Jackson's net change in money is x + (-y) = 4.63

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.

WE need to Write an addition equation to represent Jackson's net change in money.

Given that :

The change received = 4.63

The Net change in money :

Let initial amount before purchase is represented by  x

The Cost of item purchased = y (negative as it is incurred)

The Net change in money:

Initial amount + cost of item purchased = change received

x + (-y) = 4.63

Therefore, an addition equation to represent Jackson's net change in money is x + (-y) = 4.63

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ1

Answer:

The coordinates of the point equidistant from the position of the three students is (-3, 1).

The equation of the locus of the circular path is:

\(x^2+y^2+6x-2y-15=0\)

Step-by-step explanation:

The point that is equidistant from the three students is the circumcenter of the triangle formed by the three students.

The circumcenter of a triangle is the point at which the perpendicular bisectors of the sides of the triangle intersect.

Label the vertices of the triangle:

We only need to find the perpendicular bisectors of two of the sides.

To find the perpendicular bisectors, first find the slope of the two lines by using the slope formula:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

The slope of AB is:

\(m_{AB}=\dfrac{y_B-y_A}{x_B-x_A}=\dfrac{-4-5}{-3-(-6)}=\dfrac{-9}{3}=-3\)

Therefore, the slope of the perpendicular bisector of AB is 1/3.

The slope of AC is:

\(m_{AC}=\dfrac{y_C-y_A}{x_C-x_A}=\dfrac{1-5}{2-(-6)}=\dfrac{-4}{8}=-\dfrac{1}{2}\)

Therefore, the slope of the perpendicular bisector of AC is 2.

Now find the midpoints of two of the line segments by using the midpoint formula:

\((x_m,y_m)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

The midpoint of AB is:

\(\implies \left(\dfrac{x_A+x_B}{2},\dfrac{y_A+y_B}{2}\right)=\left(\dfrac{-6+(-3)}{2},\dfrac{5+(-4)}{2}\right)=\left(-\dfrac{9}{2},\dfrac{1}{2}\right)\)

The midpoint of AC is:

\(\implies \left(\dfrac{x_A+x_C}{2},\dfrac{y_A+y_C}{2}\right)=\left(\dfrac{-6+2}{2},\dfrac{5+1}{2}\right)=\left(-2,3\right)\)

Now we can create equations for the perpendicular bisectors of AB and AC by substituting the found slopes and midpoints into the point-slope formula:

\(y-y_1=m(x-x_1)\)

The equation of the perpendicular bisector of AB is:

\(\implies y-\dfrac{1}{2}=\dfrac{1}{3}\left(x-\left(-\dfrac{9}{2}\right)\right)\)

\(\implies y-\dfrac{1}{2}=\dfrac{1}{3}x+\dfrac{3}{2}\)

\(\implies y=\dfrac{1}{3}x+2\)

The equation of the perpendicular bisector of AC is:

\(\implies y-3=2\left(x-\left(-2\right)\right)\)

\(\implies y-3=2x+4\)

\(\implies y=2x+7\)

Now we have equations for the perpendicular bisectors of two of the sides of the triangle, we can find the x-value of the point of intersection (the circumcenter) by equating the equations and solving for x:

\(\implies 2x+7=\dfrac{1}{3}x+2\)

\(\implies \dfrac{5}{3}x=-5\)

\(\implies x=-3\)

Substitute the found value of x into one of the equations and solve for y:

\(\implies y=2(-3)+7=1\)

Therefore, the coordinates of the point equidistant from the position of the three students is (-3, 1).

To find the equation of the locus of the circular path, we need to find the equation of the circle with center at (-3, 1) and radius equal to the distance from any of the three students to the center.

To find the radius of the circle, calculate the distance between the center (-3, 1) and one of the points using the distance formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Therefore, the distance between the center (-3, 1) and point A (-6, 5) is:

\(\implies r=\sqrt{(-6-(-3))^2+(5-1)^2}\)

\(\implies r=\sqrt{(-3)^2+(4)^2}\)

\(\implies r=\sqrt{25}\)

\(\implies r=5\)

Finally, substitute the found center and radius into the general equation of a circle:

\((x-h)^2+(y-k)^2=r^2\)

where (h, k) is the center, and r is the radius.

Therefore, the equation of the circle is:

\((x+3)^2+(y-1)^2=25\)

Expanding to give the equation of the locus of the circular path:

\(\implies x^2+6x+9+y^2-2y+1=25\)

\(\implies x^2+y^2+6x-2y-15=0\)

There are 3 pairs of earrings that you bought in addition to the jeans. Forming an equation with the given values helps to find the required value.

It is given that,

A pair of jeans cost = $44

A pair of earrings cost = $12

you spent a total of $80 before taxes.

So, the equation for the given data is,

$80 = $44 + $12x

Where x is the number of pairs of earrings.

Simplifying the obtained equation:

$80 = $44 + $12x

⇒ 12x = 80 - 44

⇒ 12x = 36

⇒ x = 36/12

∴ x = 3

Thus, you can buy three pairs of earrings at the mall in addition to the jeans.

Learn more about an equation here:

https://brainly.com/question/25678139

#SPJ9

Answer:

7.5

Step-by-step explanation:

You didn't list the right answer choices. But I think 7.5 is the answer.

Answer:

-50

Step-by-step explanation:

isolate your equation by transposing the -2 to the other side and your equation will be -2/5x=20 then divide both sides by -2/5 and your answer is -50

Answer:

<3 I want brainliest!!!

Step-by-step explanation:

1) 5.54 x 10^9

2) 2.5409 x 10^-5