need help!!!!!!!!!!!!!!!!!!!!!!!

Answer:

3x + 10

n/5 -9

8(5t)

3(x + 5)

6 + 7.5n

Please let me know if you have questions about these. I’m happy to try to explain.

Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)

With one third of a serving remaining, there are 17 servings are there in a box that holds 13 cups.

Given that:

Each cup holds a bit more than 1 serving, so we know there are at least 13 servings in a box.

We need to know how many servings of 3/4 cup can be obtained from 13 cups.

now we need to divide 13 by 3/4

=13 ÷ 3/4  

= 13 × 4/3

= 52/3

= 17\(\frac{1}{3}\)

With one third of a serving remaining, there are 17 servings total.

To learn more about divide:

https://brainly.com/question/15381501

#SPJ4

The remainder when x³ - 1 is divided by (x + 3) is  -28

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

Read more about remainder at

brainly.com/question/14130807

#SPJ1

Answer:

5a+9b

Step-by-step explanation:

-3a from 8a then add 5b to4b then you get 5a+9b

The equation 2 - 3(x + 4) = 3(3 - x) has no solution for x

From the question, we have the following parameters that can be used in our computation:

2 - 3(x + 4) = 3(3 - x)

Open the brackets

So, we have

2 - 3x - 12 = 9 - 3x

Evaluate the like terms

So, we have

-10 = 9

The above equation is false

Hence, the equation has no solution

Read more about equation

https://brainly.com/question/148035

#SPJ1

Answer:

Step-by-step explanation:

To determine the value of k such that (x-4) is a factor of the polynomial f(x) = x³ + 2x² - 11x + k, we need to find the remainder when f(x) is divided by (x-4). If the remainder is zero, then (x-4) is a factor of the polynomial.

Using polynomial long division, we divide f(x) by (x-4):

scss

Copy code

         x² + 6x + 5

    ____________________

x - 4 | x³ + 2x² - 11x + k

         - (x³ - 4x²)

         ___________

                 6x² - 11x

                 - (6x² - 24x)

                 ___________

                          13x + k

                          - (13x - 52)

                          ___________

                                  k + 52

The remainder is k + 52. For (x-4) to be a factor of the polynomial, the remainder should be zero. Therefore, we have the equation k + 52 = 0.

Solving for k, we get:

k = -52

So, the value of k that makes (x-4) a factor of the polynomial is k = -52.

Answer:

y = 1.5x + 4

The slope is 1.5, and the y-intercept is 4.

Answer:

Step-by-step explanation:

There are several ways to find the center of a triangle:

The Centroid: The centroid is a point that divides each median of the triangle into two equal parts. It is the average of the vertices of the triangle. To find the centroid, you simply average the x-coordinates and the y-coordinates of the vertices:

G = (x1 + x2 + x3)/3, (y1 + y2 + y3)/3

where (x1, y1), (x2, y2), and (x3, y3) are the coordinates of the vertices of the triangle.

The Circumcenter: The circumcenter is the center of the circle that passes through all three vertices of the triangle. To find the circumcenter, you need to find the midpoint of each side of the triangle and then draw perpendicular bisectors to each side. The point where the perpendicular bisectors intersect is the circumcenter.

The Orthocenter: The orthocenter is the point where the altitudes of the triangle intersect. The altitudes are the perpendicular lines from each vertex to the line that contains the opposite side. To find the orthocenter, you need to find the equations of the altitudes and then solve for the point where they intersect.

Note: If the triangle is an equilateral triangle, then the circumcenter and the centroid are the same. If the triangle is a right triangle, then the orthocenter and the circumcenter are the same.

Using the fact that all points on a circle are equidistant to its center, we will see that:

a =  -3 ±√21

All the points on a circle are equidistant to its center. Here the center is at (-3, -2), and we know that (0, -6) is on the circle.

The distance between these two is:

d = √( (-3 - 0)^2 + (-2 + 6)^2) = 5

Then the distance between (a, 0) also should be 5 units, so:

5 = √( (-3 - a)^2 + (-2 - 0)^2)

5 = √( (-3 - a)^2 + 4)

5^2 = (-3 - a)^2 + 4

25 - 4 = (-3 - a)^2

21 = (-3 - a)^2

±√21 = -3 - a

a = -3 ±√21

these are the two possible values of a.

Learn more about circles:

https://brainly.com/question/25871159

#SPJ1

Answer:

2

Step-by-step explanation:

15 + 5 × 3

________

  3² + 6

For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:

(15+15)/(9+6)

Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:

30/15

Finally, we divide 30/15 to get 2 as our answer

2

Answer:

N/A

Step-by-step explanation:

There is not enough information to find the amount of boys in choir. You did not give us how many girls there are in choir or how many people were in choir in total. That could've helped us. Better luck next time!!!!!

Answer:

a. z+3

b. 2z - 4z

c. z + z^2

d. 2z/(z+4)

Hope it helped.

in the II Quadrant, let's recall that the adjacent side or cosine is negative whilst the opposite side or sine is positive, thus

\(tan(\theta )=-\sqrt{\cfrac{19}{17}}\implies tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{19}}}{\underset{adjacent}{-\sqrt{17}}}\impliedby \qquad \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\)

\(c=\sqrt{(-\sqrt{17})^2~~ + ~~(\sqrt{19})^2}\implies c=\sqrt{17+19}\implies c=\sqrt{36}\implies c=6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{17}}}{\underset{hypotenuse}{6}}~\hfill\)

a) The y-intercept is at the point (0, 0). b) The equation of the axis of symmetry is x = 2. c) The x-coordinate of the vertex is x = 2. d) Table values are (0,0),(1,-3),(2,-4),(3,-3) and (4,0). e) Graph is attached below. f) The solutions are x = 0 and x = 4.

a) The y-intercept occurs when x = 0, so we plug in x = 0 into the equation:

y = \(0^{2}\) - 4(0) = 0

Therefore, the y-intercept is at the point (0, 0).

b) The equation of the axis of symmetry can be found using the formula x = -b/2a, where a and b are the coefficients of the quadratic function. In this case, a = 1 and b = -4, so:

x = -(-4)/(2*1) = 2

Therefore, the equation of the axis of symmetry is x = 2.

c) The x-coordinate of the vertex can also be found using the formula x = -b/2a. In this case, we already know that x = 2, so the x-coordinate of the vertex is x = 2.

d) To complete the table of values, we can use the x-coordinate of the vertex (x = 2) and plug it into the equation to find the corresponding y-value:

y = \(2^{2}\) - 4(2) = -4

Therefore, the vertex is at the point (2, -4). Using this information, we can fill out the rest of the table of values:

x y

0 0

1 -3

2 -4

3 -3

4 0

e) To graph the function, we plot the points from the table of values and draw a smooth curve through them:

Graph of quadratic function

f) To solve the equation \(x^{2}\) - 4x = 0, we can factor out x:

x(x - 4) = 0

This equation is true when either x = 0 or x - 4 = 0, which means x = 0 or x = 4. Therefore, the solutions are x = 0 and x = 4.

To learn more about y-intercept here:

https://brainly.com/question/14180189

#SPJ4

Answer:

50°

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees

Hence given that in a triangle ACB with angles 90°, 4x°, 7x - 20

As such

90 + 4x + 7x -20 = 180

simplify

11x + 70 = 180

11x = 180 - 70

11x = 110

Divide both sides by 11

x = 110/11

x = 10

m∠ACB is 7x - 20

Substitute the value of x into the expression

= 7(10) - 20

= 70 - 20

= 50

Answer:

The answer is 50 degrees

Step-by-step explanation:

Answer:

I think it will be less than 69 because the tozal mean is 41 while of A is 69 mean the values has decreased

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

Learn more about Budget:

https://brainly.com/question/26894404

#SPJ11

y = sqrt(x^2 + 1)  is the Cartesian equation of the curve.

The direction of the arrow indicating the trace of the curve would be to the right.

To eliminate the parameter, we can solve for t in terms of either x or y using the identities:

cosh^2(t) - sinh^2(t) = 1

or

cosh(t)^2 = sinh(t)^2 + 1

Since x = sinh(t), we can solve for t as:

t = sinh^(-1)(x)

Substituting into y = cosh(t), we get:

y = cosh(sinh^(-1)(x))

Using the identity above, we can simplify this to:

y = sqrt(x^2 + 1)

This is the Cartesian equation of the curve.

To sketch the curve, we can plot points using various values of x and y. The curve is a hyperbola that opens upwards and downwards, with the vertex at (0,1) and asymptotes given by y = x and y = -x. As the parameter t increases, the curve moves to the right. Therefore, the direction of the arrow indicating the trace of the curve would be to the right.

To know more about Cartesian visit :

https://brainly.com/question/29298525

#SPJ11

The magnitude of 3 4j is 5. This is because the magnitude of any complex number in the form a + bi is the square root of (a² + b²). In this case, a is 3 and b is 4, and the square root of (3² + 4²) is 5.

The magnitude of a complex number is the length of a line from the origin to the point on the complex plane that represents the number. The magnitude of 3 4j can be calculated using the Pythagorean theorem.

Using the theorem, the magnitude of 3 4j is 5. This is because 3 and 4 are the lengths of the sides of a right triangle and 5 is the length of the hypotenuse. The equation to calculate the magnitude of 3 4j is the square root of 3 squared plus 4 squared. This is written as the square root of       (3² + 4²) = 5.

The magnitude of 3 4j is 5. This is because the magnitude of any complex number in the form a + bi is the square root of (a^2 + b^2). In this case, a is 3 and b is 4, and the square root of (3^2 + 4^2) is 5. This means that the magnitude of 3 4j is 5.

Learn more about Pythagorean theorem at : https://brainly.com/question/14930619

#SPJ4

Answer:

Independent is the correct answer

Step-by-step explanation:

The gain of $5 can be represented as +5 and the loss of $3 can be represented as -3.

We know that there are two types of integers

To represent the gain of $5 on one day, we can use the positive integer +5.

To represent the loss of $3 on the next day, we can use the negative integer -3.

Therefore, the gain of $5 can be represented as +5 and the loss of $3 can be represented as -3.

Learn more about integers here:

https://brainly.com/question/33503847

#SPJ4

5+-13/2

x= -b ±√b²-4ac÷2a

x^{2}-5x+3=0

a=1

b=-5

c=3

x=-(-5±√(-5)²-4.1.3÷2.1

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Multiply the numbers

x=5±√13÷2

To solve for the unknown variable, separate it into two equations: one with a plus and the other with a minus.

x=5+√13÷2

x=5-√13÷2

Rearrange and isolate the variable to find each solution

x=5+√13÷2

x=5-√13÷2

x=5±√13÷2

Learn more about the quadratic formula on

brainly.com/question/1214333

We can make 37 , 3-letter strings  from the letters a, b, c, and d.

1 . AAA    - This word could be written in 1 way.

2. AAB, AAC, AAD  

3.ABB, ACC, ADD

4. ABC, ABD, ACD      

Total = 1+9+9+18

        = 37

So, we can make 37  3-letter strings  from the letters a, b, c, and d by applying the method called permutation.

To learn more about permutation, refer:

https://brainly.com/question/1216161

#SPJ1

Answer:

I think this question is missing some information...

the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).

(1) To find the volume in the first octant bounded by the surfaces \(y^2 = 4 - x\) and y = 2z, we can set up a triple integral in cylindrical coordinates.

First, we need to determine the bounds for our variables. Since we are working in the first octant, we know that 0 <= z, 0 <= theta <= pi/2, and 0 <= r.

Next, we need to find the equation for the upper and lower bounds of z in terms of r and theta. We can start with the equation \(y^2 = 4 - x\) and substitute y = 2z to get:

\((2z)^2 = 4 - x\)

\(4z^2 = 4 - x\)

\(x = 4 - 4z^2\)

We can then use this equation along with the equation z = y/2 to get the bounds for z:

\(0 < = z < = (4 - x)^(1/2)/2 = (4 - 4z^2)^(1/2)/2\)

Squaring both sides, we get:

\(0 < = z^2 < = (1 - z^2)/2\)

\(0 < = 2z^2 < = 1 - z^2\)

\(z^2 < = 1/3\)

So the bounds for z are:

\(0 < = z < = (1/3)^(1/2)\)

Finally, we can set up the triple integral in cylindrical coordinates:

V = ∫∫∫ r dz dtheta dr

with bounds:

0 <= r

0 <= theta <= pi/2

\(0 < = z < = (1/3)^(1/2)\)

and integrand:

r

So the volume in the first octant bounded by y^2=4−x and y=2z is:

V = ∫∫∫ r dz dtheta dr

= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 ∫ from 0 to r r dz dtheta dr\)

= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 r^2/2 dtheta dr\)

= ∫ from 0 to\((1/3)^(1/2) r^2 pi/4 dr\)

\(= pi/12 (1/3)^(3/2)\)

= pi/36 sqrt(3)

Therefore, the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).

(2) To find the volume bounded by z = x^2 + y^2 and z = 4, we can use a triple integral in cylindrical coordinates.

First, we need to determine the bounds for our variables. Since we are working in the region where z is bounded by \(z = x^2 + y^2\) and z = 4, we know that 0 <= z <= 4.

Next, we can rewrite the equation \(z = x^2 + y^2\) in cylindrical coordinates as \(z = r^2.\)

So the bounds for r and theta are:

0 <= r <= 2

0 <= theta <= 2pi

And the bounds for z are:

\(r^2 < = z < = 4\)

Finally, we can set up the triple integral in cylindrical coordinates:

V = ∫∫∫ r dz dtheta dr

with bounds:

0 <= r <= 2

0 <= theta <= 2pi

\(r^2 < = z < = 4\)

and integrand: 1

To know more about cylindrical coordinates, refer here:

https://brainly.com/question/30394340

#SPJ11

The output when three workers are hired is 5 units..

To find the output when three workers are hired, we need to first determine the total cost and then use the marginal cost to calculate the output.

Find the total cost when three workers are hired.
Average total cost (ATC) = Total cost (TC) / Output (Q)
$50 = TC / Q
Since fixed cost (FC) is $130 and the marginal cost (MC) is $40 per worker, the total cost can be found by adding the fixed cost and the cost of the three workers.
TC = FC + 3(MC)
TC = $130 + 3($40)

Calculate the total cost.
TC = $130 + $120
TC = $250

Use the total cost and average total cost to find the output.
$50 = $250 / Q
Q = $250 / $50
Q = 5

Therefore, the output when three workers are hired is 5 units.

Learn more about "marginal cost": https://brainly.com/question/17230008

#SPJ11

Answer:

The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.

Step-by-step explanation:

The volume of the cylinder without the prism can be defined as the volume of the entire cylinder (\(V_{cy}\)), measured in cubic centimeters, minus the volume of the prism (\(V_{pr}\)), measured in cubic centimeters. That is:

\(V = V_{cy}-V_{pr }\) (1)

\(V = \frac{\pi}{4}\cdot D^{2}\cdot h - l^{2}\cdot h\)

\(V = \left(\frac{\pi}{4}\cdot D^{2}-l^{2} \right)\cdot h\) (2)

Where:

\(D\) - Diameter of the cylinder, measured in centimeters.

\(l\) - Side of the square prism, measured in centimeters.

\(h\) - Height of the square prism, measured in centimeters.

If we know that \(D = 2\,cm\), \(l = 0.6\,cm\) and \(h = 6\,cm\), then the volume of the cylinder without the prism is:

\(V = \left[\frac{\pi}{4}\cdot (2\,cm)^{2}-(0.6\,cm)^{2} \right]\cdot (6\,cm)\)

\(V \approx 16.690\,cm^{3}\)

The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.

Answer:

B, C, E, F

Step-by-step explanation:

Solve for the missing angle first (which is 42°)

Listing all of the basic trig ratios (sohcahtoa):

sin x = opp/hyp

cos x = adj/hyp

tan = opp/adj

sin 48° = a/c

cos 48° = b/c

tan 48 = a/b

sin 42° = b/c

cos 42° = a/c

tan 42° = b/a

10 performances must the company put on in order to break even.

To determine the number of performances needed for the production company to break even, we need to find the point of intersection between the expenses and income lines.

The expense line can be represented by the equation: y = 2900 + 110x, where y represents the total expenses and x represents the number of performances.

The income line can be represented by the equation: y = 400x, where y represents the total income earned.

To find the break-even point, we set the total expenses equal to the total income:

2900 + 110x = 400x

Now we solve for x:

2900 = 400x - 110x

2900 = 290x

x = 10

Therefore, the production company must put on 10 performances in order to break even. At this point, the total income earned from the performances will be equal to the total expenses incurred, resulting in a break-even situation.

It's important to note that this calculation assumes all other factors remain constant and that the income from each performance is $400.

Know more about equation here:

https://brainly.com/question/29174899

#SPJ8