Brainlist for correct answer and 25 points for answering! Write the equation of a line that is perpendicular to y=0.25x-7 and that passes through the point (-6,8).

r=6cm and h=7cm

Volume of right circular cone =31πr2h

                                                 =31×722×(6)2×7

                                                 =31×22×36

                                                 =264cm3

dunno whether the formula is correct or not!

Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

Explanation:

The distance between two points (x1, y1) and (x2, y2) is:

In this problem points are (-6, 13) and (8, 13). The distance is:

Answer:

The distance is 14

Answer:

y = 4x + b

Step-by-step explanation:

We know that (3, -2) is on this line. So 3 = m(-2)+b.

This leaves us with two variables the slope (m) and the y intercept (b).

But wait a minute, the slope is given to us since it says slope = 4.

Our equation is now, 3 = 4(-2)+b

3 = -8 + b

b = 11.

Our final equation is now y = 4x + b.

(y,x) is a point on this line.

Hope this helped!

JoeLouis2

Answer:

-36

Step-by-step explanation:

If they asked (-6)^2 then it would be 36

Answer:

-36

Step-by-step explanation:

Normally, 6²=36 but because it is -6, multiply 6 by itself and add the negative sign.

Answer:

24

Step-by-step explanation:

7 hours = 420 mins (7×60)

420-60=360 (time taken for lunch)

15mins=one ride

360÷15=24 rides

Answer:

1.) The slope is 2

2.) The y-intercept is (0,1)

3.) y = 2x + 1

Step-by-step explanation:

1.) you can either use rise over run or the slope formula. rise over run is quicker, but here's the formula:

you can use any two points on the line, i chose (2, 5) and (1, 3)

\(\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})} \\\)

\(\frac{3-5}{1-2} \\\\\frac{-2}{-1} \\\\\frac{2}{1} \\\\2\)

2.) for the y-intercept, you just look for the point where the graph crosses the y-axis and x = 0

3.) using the formula y = mx + b, m being the slope and b being the y-intercept, you take the information above and plug it in to get y = 2x + 1

i hope this helped!

Answer:

40 degreses

Step-by-step explanation:

there is a right angle and that means it is 90 degreese then it gives you 50 degreese so you add them up and get 140 then you subtract that 140 from 180 and get 40 degreese.

Answer:

c

Step-by-step explanation:

cause it is

Answer:

-7

Step-by-step explanation:

Expression: 7p

Value of p: p = -1

Substitute p in the expression with the value given for p, -1.

Then, multiply by 7.

7p = 7 × (-1) = -7

Given: AQ ≅ RQ, it should be noted that AQY ≅ RQF based on SAS Congruence. Therefore, AQY ≅ RQF.

Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

1. AQ ≅ RQ (Given)

2. ∠YAF and ∠FRY are right angles (Given)

3. ∠AQY = ∠RQF (Vertical angles are congruent)

4. AQ = RQ (Given)

5. AY = RY (Side-Angle-Side Congruence)

6. ∠QYA = ∠RFQ (Angle-Side-Angle Congruence)

7. AQY ≅ RQF (SAS Congruence)

Therefore, AQY ≅ RQF.

Learn more about angle on

https://brainly.com/question/25716982

#SPJ1

Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

Answer:

35

Step-by-step explanation:

Total number of seats that remain unsold are 168.

What is statistics?

The branch of mathematics dealing with data collection, organization, analysis, interpretation and presentation.

Let's start by defining some variables to represent the unknowns in the problem:

From the problem, we know that:

We also know that the total revenue collected is $34,650:

27x + 45y = 34650

Now we can substitute y = 0.5x from the second equation into the third equation and simplify:

27x + 45(0.5x) = 34650

27x + 22.5x = 34650

49.5x = 34650

x = 700

So there were 700 $30-seats and 350 $50-seats.

The number of sold $30-seats is 0.9(30x) = 567, and the number of sold $50-seats is 0.9(50y) = 315.

Therefore, the total number of seats sold is 882, and the number of unsold seats is:

1050 - 882 = 168

Learn more about statistics on:

https://brainly.com/question/15525560

#SPJ1

Answer:

2.75x = how much he spent on gas.

You can ask for clarification in the comments if you need more help from me.

Step-by-step explanation:

Answer:

Yes. the relation is a function

Step-by-step explanation:

Here, we want to check if the relation is a function

if a relation is a function, then every x-values (input values) will have one y-value

No two output values (y values) will have a single x value

Looking at the pairs;

It is a function

Although two x values have same y value; 2 and 3 to 8; no two y values have same x value

Hence, the ordered pairs is a function

Therefore, the amount of charge passing through the fixed point in the conductor in the time interval t1 = 0 to t2 = τ is approximately -18.86 μC.

To determine the amount of charge passing through a fixed point in the conductor in the time interval t1 = 0 to t2 = τ, we need to calculate the integral of the current function I(t) over that time interval.

The current function is given by:

I(t) = I0 * e\(^(-t/τ)\)

Integrating this function over the time interval [t1, t2], we have:

Q = ∫[t1, t2] I(t) dt

Substituting the expression for I(t), we get:

Q = ∫\([t1, t2] I0 * e^(-t/τ) dt\)

Since I0 and τ are constant values, we can take them out of the integral:

Q = I0 * ∫[\(t1, t2] e^(-t/τ) dt\)

To evaluate this integral, we can use the following property of the exponential function:

∫\(e^(ax) dx = (1/a) * e^(ax) + C\)

Applying this property to our integral, we have:

Q = I0 * (-τ) * \(e^(-t/τ) |_t1 ^t2\)

Substituting the values t1 = 0 and t2 = τ, we get:

Q\(= I0 * (-τ) * (e^(-t2/τ) - e^(-t1/τ))\)

Substituting the given values I0 = 4.10 mA and τ = 7.00 ms, we have:

\(Q = 4.10 mA * (-7.00 ms) * (e^(-7.00 ms/7.00 ms) - e^(0/7.00 ms))\)

Simplifying the expression:

\(Q = 4.10 mA * (-7.00 ms) * (e^(-1) - 1)\)

Calculating the value:

Q ≈ -18.86 μC

To know more about interval,

https://brainly.com/question/17070177

#SPJ11

Answer:

The answer is (39/2)-3=L.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the length of the arc of the circular helix from the point (3, 0, 0) to the point (3, 0, 2), we need to integrate the magnitude of the derivative of the vector equation with respect to the parameter t over the desired interval.

The vector equation of the circular helix is given by r(t) = 3cos(t)i + 3sin(t)j + tk.

To find the derivative of r(t), we differentiate each component with respect to t:

r'(t) = (-3sin(t))i + (3cos(t))j + k

The magnitude of the derivative is given by ||r'(t)|| = sqrt((-3sin(t))^2 + (3cos(t))^2 + 1^2) = sqrt(9sin^2(t) + 9cos^2(t) + 1) = sqrt(9(sin^2(t) + cos^2(t)) + 1) = sqrt(9 + 1) = sqrt(10).

Integrating this magnitude from t = 0 to t = 2 (the desired interval), we have:

Length of the arc = ∫[0 to 2] ||r'(t)|| dt = ∫[0 to 2] sqrt(10) dt = sqrt(10) ∫[0 to 2] dt = sqrt(10) [t] [0 to 2] = sqrt(10)(2 - 0) = 2sqrt(10).

Therefore, the length of the arc of the circular helix from the point (3, 0, 0) to the point (3, 0, 2) is 2sqrt(10) units.

Learn more about circular helix

brainly.com/question/33470920

#SPJ11

Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

To learn more about standard deviation, refer here:

https://brainly.com/question/23907081#

#SPJ11

Answer:

f(x) =  -2x -2 ;  -∞ < x < -4  and  -4 < x < ∞

               6      ;    x = -4

Step-by-step explanation:

         (-1,0)  and  (0 ,-2)

Find the slope using the points.

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

               \(\sf = \dfrac{-2-0}{0-(-1)}\\\\=\dfrac{-2}{0+1}\\\\=-2\)

m = -2

Equation of line in slope y-intercept form: y =mx + b

 y = -2x + b

Plugin any of the point in the above equation. (0, -2)

 -2 = 0 + b

 b = -2

Equation:   y = -2x - 2

Hollow circle is the break point.

Function:

  f(x) =  -2x -2 ;  -∞ < x < -4  and  -4 < x < ∞

               6      ;    x = -4

The function graphed on the axes below as a piecewise function is \($f(x)=\left\{\begin{array}{l}-x-1, \text { for }-6 \leq x < 2 \\ -\frac{1}{2} x-4, \text { for } 2 < x < 6\end{array}\right.$\)

The upper piece of the graph is defined on the interval \($-6 \leq x < 2$\). It has a slope of -1 and a y-intercept of -1, so its equation is \($y=-x-1$\).

The lower piece of the graph is defined on the interval \($2 < x < 6$\). It has a slope of -1 / 2 and would cross the y-axis at -4 if it were extended. Its equation is

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

The two pieces together give the function.

\(f(x)=\left\{\begin{aligned}-x-1, & \text { for }-6 \leq x < 2 \\-\frac{1}{2} x-4, \text { for } 2 < x < 6\end{aligned}\right.$$\)

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

To learn more function visit:

brainly. com/question/12431044

#SPJ1

Answer:

Two places to the left = 7.516

Step-by-step explanation:

Answer:

Step-by-step explanation:

751.6 ÷ 100 = 7.516

and that means that

the decimal point moves

two times to the right.

Hope this helps! <3

Answer: 190 miles

Solution:

=4 x 95 / 2

=(cross out the common factor)

=2 x 95 = 190

The cost of 100 donuts is $ 1 if a dozen of donuts cost 12 cents.

This question is solved using the unitary method. The unitary method is a method in which you find the value of a unit and then the value of the required number of units.

1 dozen refers to a group of 12.

Cost of 1 dozen donuts or 12 donuts = 12 cents

Cost of 1 donut = \(\frac{12}{12}\) = 1 cent

Cost of 100 donuts = 1 * 100 = 100 cents

100 cents = 1 dollar.

Thus, the cost of 100 donuts is 100 cents or 1 dollar.

Learn more about Unitary Method:

https://brainly.com/question/24587372

#SPJ4

Answer: 4 − 1 = 3

Step-by-step explanation: 6 - 2 = 4    32 + 42 = 25    4 − 1 = 3

The regular price of a ticket to the game is: $24.25

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

According to the data problem,

Calculating the cost per tickets we get:

Cost per tickets = 296/16 = $18.5

Calculating the regular price we have:

regular price = $18.5 + $5.75 = $24.25

Learn more about algebraic operations at: brainly.com/question/3927786

#SPJ4

Correctly written question:

Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game?

The value of k for which the matrix A has rank 2 is any real number except -1/6.

Here, we have,

To find the values of x for which rank(A) = 2, we need to determine the row echelon form or reduced row echelon form of matrix A and observe the rows with leading non-zero entries.

Let's perform row operations on matrix A:

A = ⎣⎡​2 4 2

        1 4 3

    0 x − 4 7

       2 3 1 6⎦⎤​

Performing row operations:

R₂ = R₂ - (1/2)R₁

R₃ = R₃ - (R₁/2)

R₄ = R₄ - (R₁/2)

A = ⎣⎡​2 4 2

        0 2 1

     0 x - 4 -1

       0 -1 -2⎦⎤​

Now, let's analyze the rows with leading non-zero entries.

The first two rows have leading non-zero entries, so they contribute to the rank of matrix A.

The last two rows are all zeros, so they do not contribute to the rank.

From this analysis, we can see that for rank(A) = 2, the value of x can be any real number.

Moving on to the second part of the question, we need to find the value of k for which the matrix A has rank 2:

A = ⎣⎡​-6 -7 -8

        7 9 -3

         -5 -5k⎦⎤​

Performing row operations:

R₂ = R₂ + R₁

R₃ = R₃ - (5/6)R₁

A = ⎣⎡​-6 -7 -8

         1 2 -11

 0 -5k + 2 17/6⎦⎤​

To have rank(A) = 2, we need to ensure that the last row is not a multiple of the second row.

So we set the determinant of the 2x2 submatrix formed by the last two rows to be non-zero:

(2)(17/6) - (-5k + 2)(2) ≠ 0

Simplifying the equation:

17/3 + 10k - 4 ≠ 0

10k ≠ -17/3 + 4

10k ≠ -5/3

k ≠ -1/6

Therefore, the value of k for which the matrix A has rank 2 is any real number except -1/6.

To learn more on matrix click:

brainly.com/question/28180105

#SPJ4

The correct option is b) V = 256(6 + 2√5)/5.

Given, 12 (v + x²) f(z, y) = 0 if 0 < z ≤ y ≤ 1, 5 otherwise. We need to find the volume, V, contained between z = 0 and  = f(z, y).

We know that, Volume under a surface = Double integral of the function over the region bounded by the surface in the xy plane.

For finding the volume, we integrate the given function f(z, y) over the given region.

Let us draw the graph of the surface: graph{y<=x^2+4 [-6.16, 6.12, -3.07, 6.11]}

At the point where f(x, y) = 0 is the curve y = x² + 4, i.e., a parabola opening upwards.

Hence, the volume beneath the surface at those locations will be zero. The region enclosed by this surface and xy-plane is shown below.

Thus, the required volume, V is given by, V = ∫∫R f(z, y) dz dy

Here, R is the region enclosed by the surface and the xy-plane.

Hence, we have V = ∫∫R f(z, y) dz dy

Now, we will find the limits of integration.

Since the surface touches the xy-plane at z = 0, the lower limit of z is 0.

Also, since the region R lies between the parabolic cylinder y = x² + 4 and the yz-plane, the limits of integration for y are y = 0 and y = x² + 4. And, the limits of integration for x are x = -2 and x = 2.

Now, we will evaluate the given integral to find V:V = ∫∫R f(z, y) dz dy= ∫02 ∫0x²+4 12(v+x²) dz dy + ∫∫R 5 dz dy= 6(x²+4)(x²+5)dy+5×Area of the region enclosed by the surface in the xy-plane= 6 ∫-2²+4 to 2²+4 (y+5) √y dy + 5(4²) = [6/5(y+5)³/2]∣∣-2²+4 2²+4 + 80= 256(6 + 2√5)/5

So, the correct option is b) V = 256(6 + 2√5)/5.

Visit here to learn more about Volume brainly.com/question/28058531

#SPJ11

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

To know more about profits, visit:

https://brainly.com/question/29987711

#SPJ11

Answer: D

Step-by-step explanation: I think

To find the value of x, we calculate the average of the sample observations. Summing up the observations and dividing by the total number of observations, we get:

x = (125 + 122 + 126 + 100 + 155 + 132 + 121 + 118 + 114 + 125 + 142 + 2 + 130 + 110 + 140 + 129 + 3) / 17 = 114.118 seconds (rounded to three decimal places).b) To find the value of R, we calculate the range of each sample by subtracting the minimum observation from the maximum observation. Then we find the average range across all samples:R = (155 - 100 + 142 - 2 + 140 - 110 + 132 - 114 + 142 - 3) / 5 = 109.2 seconds (rounded to three decimal places).

c) The Upper Control Limit (UCL) and Lower Control Limit (LCL) using 3-sigma can be calculated by adding and subtracting three times the standard deviation from the average:UCL = x + (3 * R / d2) = 114.118 + (3 * 109.2 / 1.693) = 348.351 seconds (rounded to three decimal places).LCL = x - (3 * R / d2) = 114.118 - (3 * 109.2 / 1.693) = -120.115 seconds (rounded to three decimal places).

d) The Upper Control Limit Range (UCLR) and Lower Control Limit Range (LCLR) using 3-sigma can be calculated by multiplying the average range by the appropriate factor:UCLR = R * D4 = 109.2 * 2.115 = 231.108 seconds (rounded to three decimal places).LCLR = R * D3 = 109.2 * 0 = 0 seconds.

To learn more about observations click here : brainly.com/question/9679245

#SPJ11