Jovanny is enrolled in a college program where he needs at least 120 credits to graduate. He already has 70 credits completed, what is the fewest number of three credit classes he will need?

Answers

Answer 1

Let x be the number of three credit classes. The total credits for this classes will be:

\(3x\)

Now, we know he already has 70 credits, that means that the total is:

\(3x+70\)

Now this has to be al least 120, that means that we have the inequality:

\(3x+70\ge120\)

Solving for x we have:

\(\begin{gathered} 3x+70\ge120 \\ 3x\ge120-70 \\ 3x\ge50 \\ x\ge\frac{50}{3} \\ x\ge16.67 \end{gathered}\)

Now, since Jovanny can't take a fraction of a class he need to take 17 three credit classes.


Related Questions

Evaluate the expression 2b to the third power+ 5 when b=5

Answers

Answer:

1005

Step-by-step explanation:

10 to the third power + 5 =

1000 + 5 =

1005

Hope that helps!

Find the products of the following:

1.(x+7)(2x-5)

2.(4x-3)(7x-1)

3.(x+6)(x-6)

4.(2b-4)(2b+4)

5.(3m²+n)(3m²-n)




please answer it!!! ^_^

Answers

Answer:

\(1)2 {x}^{2} +9−35\)

\(2)28 {x}^{2} −25+3\)

\(3) {x}^{2} −36\)

\(4)4 {b}^{2} −16\)

\(5)9 {m}^{2} − {n}^{2} \)

5 What is -5 –+3 2 2.

Answers

Answer:

-327

Step-by-step explanation:

Order these numbers from least to greatest
6.3071, 6.7 6.408, 6.47

Answers

Answer:

6.3071, 6.408, 6.47, 6.7

Step-by-step explanation:

6.3071, 6.408, 6.47, 6.7, hope this helped!

Answer:

In bold below.

Step-by-step explanation:

6.3071, 6.7 6.408, 6.47

= 6.3071, 6.408, 6.47, 6.7

simplify the expresion (5÷5)+5×(5²- 5)​

Answers

Answer: 101

Step-by-step explanation: 1+5x20 then 100+1= 101

Math work I hope you can see

Math work I hope you can see

Answers

Note that where in the rectangle ABCD, AC = 2x + 19 and BD = 5x - 2, the value of x is 7.The value of ∠MNK is: 65° This is arrived at using the properties of parallel lines intersected by the transversal line postulate.

What is the rationale for the above responses?

1) to obtain the value of x, we must equate AC and BD based on the diagonal properties of a rectangle. Note that a rectangle's diagonal divides it into two congruent right triangles.

A rectangle's diagonals are all the same length. A square is a quadrilateral whose diagonals bisect each other, intersect at right angles, and are congruent.

Thus,

Since BD = AC

2x + 19 = 5x - 2

To solve the equation 2x + 19 = 5x - 2, we need to isolate x on one side of the equation.

First, we can simplify both sides by combining like terms. Subtracting 2x from both sides gives:

19 = 3x - 2

Next, we can isolate x by adding 2 to both sides:

21 = 3x

Finally, we can solve for x by dividing both sides by 3:

x = 7

Therefore, the solution to the equation 2x + 19 = 5x - 2 is x = 7

b) The Properties of Parallel Lines Intersected by a Transverse Postulate states that when a transversal intersects two parallel lines, the corresponding angles are congruent, the alternate interior angles are congruent, and the same-side interior angles are supplementary. This means that

∠LMN + ∠MNK = 180°

Thus,

115 +  ∠MNK = 180

∠MNK = 180 - 115

∠MNK = 65°

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C(x) = 5x^2 + x + 7 and
d(x) = x^2 – 10
d(c(3))

Answers

Answer:

d(c(3))=30I5

Step-by-step explanation:

C(3)=5×9+3 +7=55

d(c(3))= ( 55)^2-10= 3O 15

how can i determine the unit rate give a point on the line? For example, what would be the unit rate given (8,38) is on the line? Give your answer as a point.

Answers

Answer:

Step-by-step explanation:

To determine the unit rate given a point on the line, we need to know the equation of the line in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Once we have the equation in slope-intercept form, the slope, m, represents the unit rate. This is because the slope is the change in y divided by the change in x for any two points on the line, which gives us the rate of change of y with respect to x.

To find the equation of the line that passes through the point (8,38), we need another point on the line or the slope of the line. Without this information, we cannot determine the unit rate or the equation of the line.

Therefore, the answer cannot be given as a point.

If Z varies inversely as w, and z=15 when w=4, find z when w=10

Answers

\(\\ \sf\longmapsto z1w2=z2w1\)

\(\\ \sf\longmapsto 15(10)=4z_2\)

\(\\ \sf\longmapsto 4z_2=150\)

\(\\ \sf\longmapsto z_2\approx 38\)

⟼4z

jshsujsjajajenxjnxjde

⟼z

2

≈38

Write the equation (y=mx+b) that represents the relationship show on the graph.

Write the equation (y=mx+b) that represents the relationship show on the graph.

Answers

Answer:

y= 3x + 4

Step-by-step explanation:

yeah-ya....... right?

Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.

Answers

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

on the 9th of february 2012, the heights of the water in the bristol channel in cardiff, uk were as follows. low tide was 1.2 m at 2:00 am and high tide was 12.4 m at 7:56 am. assuming sinusoid periodicity, estimate the height of the water at sunset (5:16 pm on that day). give your answer as a decimal (in metres) rounded to 1 decimal place.

Answers

It should be close to 7m at around 5pm. In fact, this is the time of day when the water rises the fastest, so perhaps 8m

What is the period of the sinusoidal signal?

The interval between successive peaks in the sinusoidal signal graph, or period, is only the number of seconds needed for one cycle of the sinusoid.

Are all sinusoidal sequences periodic?

Depending on the values of angular frequency (), discrete-time sinusoidal sequences may or may not be periodic. A discrete-time sinusoidal signal must have an angular frequency () that is a multiple of 2 to be considered periodic.

It takes roughly 6 hours from low tide to high tide, or 12 hours for the entire tide cycle. Since low tide was at 2 a.m., low tide will be at around 2 p.m. as well. Three hours later, or at around 5 p.m., the water should be at the average level, which should be at (12.4+1.2)/2=6.8 m. Therefore, it should be close to 7m around 5:45. Actually, this is when the water rises the fastest, so it's probably close to 8m. Your 5.5m is obviously too low, regardless of where it is.

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4tan(x)-7=0 for 0<=x<360

Answers

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.

A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.

Answer:
y
=




B) Use your equation to find the total monthly cost if 942 minutes are used.

Answer: If 942 minutes are used, the total cost will be
dollars.

Answers

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

What is an equation?

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))

Which expression represents a cube root of 1 + i?OVE (cos()+ i sin (24))OVE (cos (37) + i sin (3))/O

Answers

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Which expression represents a cube root of 1 + i?OVE (cos()+ i sin (24))OVE (cos (37) + i sin (3))/O


What is the solution of the equation 2X = 7? Round your answer to the nearest ten-thousand.

What is the solution of the equation 2X = 7? Round your answer to the nearest ten-thousand.

Answers

Answer:

x =2.8074

Step-by-step explanation:

2^x = 7

Take the log of each side

log (2^x) = log (7)

We know  log a^b = b log a

x log 2 = log 7

x = log (7) / log 2

x =2.80735

To the nearest tenth thousandth

x =2.8074

Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q​

Answers

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

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There are 70 ripened tomatoes in a garden. The ripened tomatoes make up 35% of all the tomatoes in the garden.

What is the total number of tomatoes in the garden?

Enter your answer in the box.

There are 70 ripened tomatoes in a garden. The ripened tomatoes make up 35% of all the tomatoes in the

Answers

200 tomatoes in all


Simply take 70 x 100
Then take that 7,000 and divide it by 35
7,000/35=(The answer) or 200


An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point

An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000

Answers

Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

Helpppppppp plssssdds

Helpppppppp plssssdds

Answers

Answer:

A. 8.008, 8.08, 8.081, 8.09

B. 14.200, 14.204, 14.210, 14.240

Step-by-step explanation:

Which type of interest is going to give you more money long term?
1. Compound Interest
2. Fixed Interest
3. Simple Interest
4. Real Interest

Answers

I think it’s compound interest

A-Level Cambridge
PURE MATHEMATICS - PI
CH1 COORDINATES GEOMETRY
1-(9709-S 2012-Paper 1/2-Q4) COORDINATES GEOMETRY
[6]
The point A has coordinates (-1, -5) and the point B has coordinates (7, 1). The perpendicular
bisector of AB meets the x-axis at C and the y-axis at D. Calculate the length of CD.
ШОә

Answers

Answer:

either 8.6 or 9. check if it's correct?

7² + 5² = 74

square root 74 = 8.6

Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill. Two years ago, she had been at the hospital for twice as long. How long has each been at the hospital?

Answers

5 years longer then Bill, 2x5=10.

10+2=12.

12-5=7

Hoang has be there for 12 years. Bill has for 7 years.

5. El bloque de la figura se encuentra en reposo en el momento en que empiezan a actuar las fuerzas.
F₁ = 25 N
F, = 22.6 N
m = 2 kg
a. Encontrar el valor de la fuerza resultante.
b. Determina su aceleración.
C. Calcula la velocidad del bloque a los 5 segundos de movimiento.

Answers

The resultant force acting on the block is 47.6N.

The acceleration of the block will be 23.8 m/s².

The speed of the block after 5 seconds of movement is 119 m/s.

What is the resultant force?

In this question, we need to make use of Newton's second law, hence:

resultant force = mass × acceleration

So, for question a. The value of the resultant force  will be obtained by adding the two forces together:

resultant force = F₁ + F₂

                       = 25N + 22.6N

                        = 47.6N

b.  Its acceleration will be:

acceleration = resultant force / mass

                  = 47.6N / 2kg

                  = 23.8 m/s²

c. The speed of the block after 5 seconds of movement will be:

Velocity  (v) = u + at

velocity = initial velocity + acceleration x time

Based on the block was initially at rest, the initial velocity is 0.

Hence:

V = acceleration x time

    = 23.8 m/s² x 5s

     = 119 m/s

Hence the speed of the block after 5 seconds of movement will be: 119 m/s.

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See full text below

The block in the figure is at rest when the forces begin to act.

F₁ = 25N

F, = 22.6 N

m = 2kg

to. Find the value of the resultant force.

b. Determine its acceleration.

C. Calculate the speed of the block after 5 seconds of movement.

For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.

Answers

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Samuel entered the following key strokes on his calculator. What did Samuel’s calculator display? A. 2.5E – 13 B. 2.5E – 4 C. 2.5E5 D. 2.5E14

Answers

Answer:

Step-by-step explanation:

I believe the answer would be 2.5E14- (D)

I hope that helped!!

In the case above about Samuel, we can say that Samuel's calculator has display option A;  2.5 E (- 13)

What is the calculation about?

The function was 5 EE (-) 9 divided by 2 EE 4

5 EE (-) 9/ 2 EE 4

We know that, E implies 10 to rise to power.

So, the equation above is Converted from scientific notation into standard form;

= 5 EE (-) 9/ 2 EE 4

= 5/2  x 10 ⁻⁹⁻⁴

=2.5 x 10⁻¹³

Therefore, In the case above about Samuel, we can say that Samuel's calculator has display option A;  2.5 E (- 13)

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Find all zeros? One zero has been given.

Find all zeros? One zero has been given.

Answers

The zeros of the function f(x) = 2x⁴ + 11x³ + 16x² + x - 6 are x = -3, x = -2,

x = -1 and x = 1/2 respectively

What is the zeros of a function?

The zero of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

In the given problem, the zero of the function;

f(x) = 2x⁴ + 11x³ + 16x² + x - 6; -3 are

f(-3) = 2(-3)⁴ + 11(-3)³ + 16(-3)² -3 - 6 = 0

f(-2) = 2(-2)⁴ + 11(-2)³ + 16(-2)² - 2 - 6 = 0

f(-1) = 2(-1)⁴ + 11(-1)³ + 16(-1)² - 1 - 6 = 0

f(1/2) = 2(1/2)⁴ + 11(1/2)³ + 16(1/2)² - 1/2 - 6 = 0

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Apollo Spas services 156 hot tubs. If each hot tub needs 105 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?

Answers

Answer:

16380 mL or 16.380 L

Step-by-step explanation:

1 hot tub requires 105 mL of Acid

156 hot tubs requires 105 * 156 mL of acid = 16380 mL of acid are needed.

16380 / 1000 mL/L = 16.380 Liters.

What's 2|–9| – |–2|? Question 14 options: A) –18 B) –20 C) 16 D) 20

Answers

16

find the absolute values ie. 9 and 2

multiply 9 by 2 and subtract 2 by 18

Which of the following shows that PQRS
is a parallelogram for u=8
and v=12
?

Answers

Answer:

I think that the answer is the answer to the question

Step-by-step explanation:

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