Find the Unit Rate: If 10 30.5 oz containers cost $70 how much does one container cost?​

Answer:

11.41

Step-by-step explanation

step 1: 3.98 + 4.25 + 5.92 + 8.6= 22.75

step 2: subtract 22.75 from 34.16=  

step 3: after subtracting your difference will be 11.41

3.98 + 4.25 + 5.92 + 8.6 + 11.41 = 34.16

The missing length of the given triangle with measurements using triangle proportion are;

For first diagram; x = 48

Foe second diagram; x = 60

For third diagram; x = 100

For fourth diagram; x = 25

What is triangle proportion?

According to the Triangle proportion rule, When a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

In first diagram;

The side with x is a reflexive side of both triangles and as such from triangle proportionality theorem we can say that;

⇒ x/64 = 36/x

After cross multiply we get;

x² = 64 * 36

x = √2304

x = 48

Thus, we conclude that the missing length indicated is x = 48.

In second diagram;

Let y is the smaller side of the base out of which 64 has been taken.

Thus; y = 100 - 64

        y = 36

Let the perpendicular height of triangle is 'z';

z/36 = 64/z

z² = 64 * 36

z = √2304

z = 48

Now, For finding the value of x we can apply the Pythagoras theorem;

x² = 48² + 36²

x² = 2304 + 1296

x² = 3600

x = √3600

x = 60

So, The missing length indicated is x = 60.

In third diagram;

Let the perpendicular height of triangle is 'y'.

Then apply Pythagoras theorem as;

60² = 36² + y²

y² = 3600 - 1296

y = √2304

y = 48

Now, Apply the triangle proportionality theorem we get;

48/36 = (x - 36)/ 48

48 * 48 = 36 (x - 36)

64 = x - 36

x = 64 + 36

x = 100

Hence, The missing length indicated is x = 100.

In fourth diagram;

Let the perpendicular height of triangle is 'y';

Apply Pythagoras theorem as;

15² = 9² + y²

y² = 225 - 81

y = √144

y = 12

Now, Apply the triangle proportionality theorem we get;

12/9 = (x-9) /12

144 = 9 (x-9)

16 = x - 9

x = 25

So, The missing length indicated is x = 25.

Therefore, The missing length of the given triangle with measurements using triangle proportion are;

For first diagram; x = 48

Foe second diagram; x = 60

For third diagram; x = 100

For fourth diagram; x = 25

Learn more about the triangle proportionality theorem visit:

https://brainly.com/question/10691484

#SPJ1

The equation be 2x² - 3x - 5 then the value of x = -1.

Let a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.

Part A: Let f(x) = 0 and solve for x to get the x-intercepts.

Given the function 2x²-3x - 5 = 0

Factor to get (2x - 5) (x + 1) = 0

then 2x - 5 = 0 and x = 2.5x + 1 = 0 and x = -1

These are the x-intercepts.

Part B: As the coefficient of the \($$x^2\) term exists positive, the parabola opens up, and the vertex exists at a minimum. The coordinates of the parabola exist given by -b/2a, f( -b/2a)

where a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.

In this case a = 2, b = -3 and c = -5.

So -b/2a = 3 / 4

f(-b/2a) = \(2 * (3/4)^2 -3 * (3/4) - 5\) = -6.125.

The coordinates of the vertex exist (3/4, -6.125)

Part C: I will give them a minimum from completing the square

y = \($$2(x - 0.75)^2\) - 6.125

as x approaches + ∞, y approaches + ∞.

as x approaches - ∞, y approaches + ∞.

It's a quadratic.

The y values go to + ∞ when x goes from - ∞ to + ∞.

Part D: The graph is as follows:

To learn more about functions refer to:

https://brainly.com/question/26709985

#SPJ9

Answer:-14

Step-by-step explanation:

Answer:

Step-by-step explanation:

The roots of this discriminant x=0 or x=-14

This question is incomplete, the complete question is;

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.

x² + 9y² = 9

(a) About

y = 3

(b) About  

x = 3

Answer:

a) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

b) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

Step-by-step explanation:

a) the volume of solid of revolution

about y=3

Using SHELL METHOD;

Volume V = 2π . \(\int\limits^1_{y=-1} \,\) (3-y) (2.3√(1-y²)) dy

= 12π . \(\int\limits^1_{y=-1} \,\)  (3-y) √(1-y²) dy

= 12π . \(\int\limits^1_{y=-1} \,\)  (( 3√(1-y²) - y(√(1-y²)) dy

= 12π[ \(\frac{3}{2}\)π - 0 ]

= 18π² = 177.652879 ≈ 177.65288

Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

b)

the volume of solid of revolution

about x=3

Using SHELL METHOD;

Volume V = \(\frac{4}{3}\)π . \(\int\limits^3_{y=-3} \,\) (3-x) (\(2.\frac{1}{3}\)√(9-x²)) dx

= \(\frac{4}{3}\)π . \(\int\limits^3_{y=-3} \,\) (3-x) √(9-x²) dx

= \(\frac{4}{3}\)π . \(\int\limits^3_{y=-3} \,\) (3√9-x² -x√(9-x²) dx

=  \(\frac{4}{3}\)π [ \(\frac{27}{2} \pi\) - 0 ]

= 18π² = 177.652879 ≈ 177.65288

Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

Answer:

4.93 million workers

Step-by-step explanation:

0.375*5.15+3 = 4.93125

The number of available workers is 4.93

The given expression:

\(p(h) = 0.375h + 3\)

where;

h is the minimum hourly wage = $5.15

To find:

The number of available workers is calculated as follows:

\(p(5.15) = 0.375(5.15) + 3\\\\p(5.15) = 4.931\\\\p(5.15) \approx 4.93\)

Thus, the number of available workers is 4.93

Learn more here: https://brainly.com/question/23853488

Answer:

D

Step-by-step explanation:

Answer: I am pretty sure it is C.

Step-by-step explanation:

Answer:whole sheet?

Step-by-step explanation:

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

For  more such questions on gross earning.

https://brainly.com/question/29206567

#SPJ8

Answer:

y = -2x + 9

Step-by-step explanation:

Let's start from the -2x, the slope is -2. The x is basically what says, this is the slope. The plus nine is the y-intercept. If you think in graph terms (which is how you solve this problem) you will see that on the y-axis the line will intercept at the 9. The every x integer it goes down it goes that times two. For example, if you go sideways 1 spot, the line will be at y=11.

Answer:

$18.75

Step-by-step explanation:

25/4 = 6.25

25-6.25=18.75

$18.75

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer: the graph of the resulting function, |x| + k, is the graph of f (x) shifted k units up

Step-by-step explanation:

just took the test

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

Learn more about  Role Strain from

https://brainly.com/question/14283116

#SPJ1

Answer:

\(x = 1-10t\\y = -6+16t\\z = 7-12t\)

Step-by-step explanation:

We are given the coordinates of points P(1,-6,7) and Q(-9,10,-5).

The values in the form of (\(x,y,z\)) are:

\(x_1=1\\x_2=-9\\y_1=-6\\,y_2=10\\z_1=7\\z_2=-5\)

\($\vec{PQ}$\) can be written as the difference of values of x, y and z axis of the two points i.e. change in axis.

\(\vec{PQ}=<x_2-x_1,y_2-y_1,z_2-z_1>\)

\(\vec{PQ} = <(-9-1), 10-(-6),(-5-7)>\\\Rightarrow \vec{PQ} = <-10, 16,-12>\)

The equation of line in vector form can be written as:

\(\vec{r} (t) = <1,-6,7> + t<-10,16,-12>\)

The standard parametric equation can be written as:

\(x = 1-10t\\y = -6+16t\\z = 7-12t\)

Answer:

37

Step-by-step explanation:

Both the x and the 53 add up to 90 so you subtract 53 from 90 and you get 37

Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.

Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.

La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.

Step-by-step explanation:

9514 1404 393

Explanation:

As written, the equation is not an identity. Perhaps you want to show ...

  (csc(x) +cot(x))² = (cos(x) +1)/(1 -cos(x))

__

We will transform the left-side expression to the form of the right-side expression.

  \((\csc(x)+\cot(x))^2=\left(\dfrac{1}{\sin(x)}+\dfrac{\cos(x)}{\sin(x)}\right)^2=\dfrac{(1+\cos(x))^2}{\sin(x)^2}\\\\=\dfrac{(1+\cos(x))^2}{1-\cos(x)^2}=\dfrac{1+\cos(x)}{1-\cos(x)}\cdot\dfrac{1+\cos(x)}{1+\cos(x)}=\boxed{\dfrac{\cos(x)+1}{1-\cos(x)}}\)

Answer:

The numbers are 6 and 7.

Step-by-step explanation:

4² = 16

5² = 25

6² = 36

7² = 49

√36 = 6

√42 = ?

√49 = 7

The numbers are 6 and 7.

Answer:

Simplest form of expression:

-3+2x

Answer:

2x - 3 (or) -3 + 2x

Step-by-step explanation:

Given equation,

→ (-+ 3) - 2 (-x)

The simplest form will be,

→ (-+ 3) - 2 (-x)

→ -3 + (-2 × -x)

→ -3 + 2x

→ 2x - 3

Thus, the answer is 2x - 3.

The number of Jim's model car is 48

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

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

Substitute the known values in the above equation, so, we have the following representation

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

Read more about ratio at

https://brainly.com/question/1781657

#SPJ1

Answer:

0.841

Step-by-step explanation:

divide the length value by 1000

Answer:

26.64

Step-by-step explanation:

37% of x = 72

0.37x = 72

isolate x

x = 72*0.37

x = 26.64

The square feet of paper that will cover the model is 56 ft squared.

The model above is a square base pyramid. Therefore, the square feet of papers he will need to cover the model is the surface area of the model.

Therefore,

surface area of the square base pyramid = A + 1 / 2 ps

where

Therefore,

p = 4 × 4 = 16 ft

s = 5 ft

A = 4² = 16 ft²

Therefore,

surface area of the square base pyramid = 16 + 1 / 2 × 16 × 5

surface area of the square base pyramid = 16 + 40

surface area of the square base pyramid = 56 ft²

learn more on surface area here: brainly.com/question/31380742

#SPJ1

Answer:

  C.  The equation has two valid solutions

Step-by-step explanation:

A rational equation like this is often solved by "cross-multiplying" to eliminate the fractions. When we do that, we get ...

  4(2x+10) = x(3x+1) . . . . . . . multiply both sides by (3x+1)(2x+10)

  3x² -7x -40 = 0 . . . . . . . . . . rearrange to standard form

  3x² -15x +8x -40 = 0 . . . . . . separate -7 into factors of 3(-40)

  3x(x -5) +8(x -5) = 0 . . . . . factor pairs of terms

  (3x +8)(x -5) = 0 . . . . . . . finish factoring

The zeros of these factors are not zeros of the original denominators, so neither of the solutions these give is extraneous.

  3x +8 = 0   ⇒   x = -8/3

  x -5 = 0   ⇒   x = 5

Answer:

A) 12.29%

B) 81.33%

C) 1.55%

Step-by-step explanation:

This is a binomial model, and I assume you're meant to use a calculator to solve.

A)

This is what I have in my notes for the binompdf function:

That is exactly what we want in this case, we're looking for exactly 5 people who meet the conditions (successes) given n trials and p probability.

Using a calculator:

binompdf(10, 0.68, 5) ≈ 0.1229

That means you have about a 12.29% chance to randomly select exactly 5 adults who have little confidence in newspapers.

B)

For this one, use the binomcdf function:

In this case, we're looking for more, not less. However, you can think of the probability of getting more than 6 as just the probability of not getting less than 6.

With a calculator:

binomcdf(10, 0.68, 5) ≈ 0.1867

That means you have about an 18.67% chance to randomly select 5 or less people. We're looking for more though. As said above, the probability of getting 6 or more is just the probability of not getting 5 or less. To find the probability of something not happening, just subtract the probability from 1.

1 - 0.1867 = 0.8133

An 81.33% chance to randomly select at least 6 adults who have little confidence in newspapers.

C)

Same as the above, I don't see a need to explain it all again. Use binomcdf:

binomcdf(10, 0.68, 3) = 0.0155

Notice I used 3 rather than 4. binomcdf calculates x or fewer, or 'rather less than or equal to'. We want just 'less than 4', and that means 'less than or equal to 3'.

That's a 1.55% chance to select less than 4 adults with little confidence in newspapers.

Setting x=2 in the function is the simplest approach to discover f(2). However, you might plot the graph of f(x) and the vertical line x=2 to visually solve this.

Set x=2 in the function for the quickest and easiest method to discover f(2). Plotting the graph of f(x) and the vertical line x=2 would allow you to visually answer this problem. Next, the graphs' intersection will represent the answer. The "x" in "f (x)" is known as "the function's argument" or simply "the argument" in function notation.

As a result, if they ask for a "argument" and offer you the equation "f (2)," all you have to say is "2." Now (1) f(2)=2(2+1)=2×3=6.If our function's value is f(2), then we should calculate its value when x=2. Example. If x = 2, then f(2) = 2 + 7 = 9. F(x) = x + 7. GF(2), also known as the Galois field of two elements, or F2, the chemical formula for fluorine. F2 is a tornado intensity category on the Fujita scale.

To learn more about parabola refer to :

https://brainly.com/question/27872359

#SPJ1