A company makes two calculator models, one designed specifically for financial use and the other designed for scientific use. The financial model contains 10 microcircuits, and the scientific model contains 20. A contract with a supplier of semiconductor chips requires the use of at least 3200 chips each day. A contract with a supplier of the off-on switches used in both calculators requires the use of at least 300 switches each day. The company would like to produce at least 100 financial models each day. If each financial calculator requires 10 production steps and each scientific calculator requires 12 production steps, how many calculators of each type should be produced to minimize the number of production steps

Answer:

4/11

Step-by-step explanation:

The probability of winning a new TV is the number of times you will win a TV over the total number of times you try to win a TV. In this case, the odds of winning a new TV are 4/7, or 4 wins every 7 loses. (Odds are probability of success to failure) Therefore, there are 4 wins for every 4 + 7 raffles, or 4/11.

Answer:

31 units

Step-by-step explanation:

I just did it

The length of segment AD must be 31 units for ABCD to be a parallelogram.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Now, When the figure is a parallelogram, opposite sides have the same measure:

That is,

⇒ AD = BC

Plug the given values we get;

⇒ 3x +7 = 5x -9

⇒ 16 = 2x

⇒  8 = x

Hence, Use this value of x in the expression for AD to find its required length:

 AD = 3(8) +7 = 24 +7

 AD = 31 . . . . units

Thus, The length of segment AD must be 31 units for ABCD to be a parallelogram.

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Answer:

[tex]\frac{19}{4}=Rs 1[/tex]

[tex]Rs. 1 = 100 paise[/tex]

[tex]\frac{19}{4}=100 paise[/tex]

[tex]4.75=100 paise[/tex]

[tex]\frac{4.75}{100}=paise[/tex]

[tex]0.0475=paise[/tex]

i hope this will help you :)

=1,075

Therefore,

\frac{43}{4} =1,075

Hope it helps you!!!

Plz Mark me as a brailiest

Step-by-step explanation:

Answer:

c. dividing is the inverse of multiplying because it doesn't really relate the equation like the others do.

Answer:

Yes altitudes are shown.

Two altitudes can be there depending upon the choice of base and altitude of triangle.

Step-by-step explanation:

First of all, let us have a look at the definition of an altitude in a triangle.

Altitude of any triangle is the perpendicular dropped (making a right angle with the side) on any side opposite to a vertex of triangle.

Here, in the given [tex]\triangle ABC[/tex], we can see that the [tex]\angle B[/tex] is right angle.

i.e. Altitudes are shown here.

Generalization about right triangles:

There can be two choices of altitudes in a right angled triangle depending upon the choice of base.

In the given triangle [tex]\angle B[/tex] is right angle.

If we choose AB as the base of triangle, the vertex opposite to AB is C.

The side BC is at right angle to AB i.e. perpendicular dropped from vertex C to side AB. Therefore BC is the altitude.

Now, If we choose BC as the base of triangle, the vertex opposite to BC is A.

The side AB is at right angle to CD i.e. perpendicular dropped from vertex A to side BC. Therefore AB is the altitude.

Answer:

C. 120 m²

Step-by-step explanation:

The surface area is equal to the area of 4 rectangles + area of 4 triangles + area of base.

Area of 4 rectangles:

4(5 × 4)

4(20) = 80

Area of 4 triangles:

4(3 × 4 × 1/2)

4(6) = 24

Area of base:

4² = 16

Add the areas.

16 + 24 + 80

= 120

The surface area of the composite solid is 120 m².

The surface area of this composite solid would be, 136 m². Hence, option D is true.

Used the formula for the surface area of the cuboid and the surface area of the 4 triangles,

The surface area of the cuboid = 2 (LW + LH + HW)

And, The surface area of the 4 triangles = 4 (1/2 × Base × Height)

Given that,

In a triangle,

Base = 4 m

Height = 3 m

And, In a Cuboid,

Length = 4 m

Width = 4 m

Height = 5 m

Hence, we get;

The surface area of the 4 triangles = 4 (1/2 × Base × Height)

= 4 (1/2 × 4 × 3)

= 4 × 6

= 24 m²

The surface area of the cuboid = 2 (LW + LH + HW)

= 2 (4 × 4 + 4 × 5 + 5 × 4)

= 2 (16 + 20 + 20)

= 112 m²

Therefore, The surface area of this composite solid would be,

24 m² + 112 m² = 136 m²

So, Option D is true.

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Answer:

4

Step-by-step explanation:

Since there are 4 columns of x and y values the answer is 4.

Answer:

How many points should appear in Kelsey’s graph   Option B

(B) 4

Step-by-step explanation:

Answer:

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

Permutations of four letters from a set of 12 letters. So

[tex]P_{(12,4)} = \frac{12!}{(12-4)!} = 11800[/tex]

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

Answer: it’s 11,880

not 11800

Answer:

[tex]\frac{dA}{dt} = 7200\pi t[/tex]

a) [tex]\frac{dA}{dt} = 7200\pi\ cm^2/s[/tex]

b) [tex]\frac{dA}{dt} = 21600\pi\ cm^2/s[/tex]

c) [tex]\frac{dA}{dt} = 36000\pi\ cm^2/s[/tex]

We can conclude that the area of the circle increases faster when the time increases.

Step-by-step explanation:

First let's write the equation for the area of the circle:

[tex]A = \pi*r^2[/tex]

The rate that the radius of the circle increases is 60 cm/s, so we have:

[tex]\frac{dr}{dt} = 60[/tex]

[tex]dr = 60dt \rightarrow r = 60t[/tex]

To find the rate that the area increases, let's take the derivative of the equation of the area in relation to time:

[tex]\frac{dA}{dt} = \pi*\frac{d}{dt} r^2[/tex]

[tex]\frac{dA}{dt} = \pi *\frac{dr^2}{dr} \frac{dr}{dt}[/tex]

[tex]\frac{dA}{dt} = \pi *2r *\frac{dr}{dt}[/tex]

[tex]\frac{dA}{dt} = 2\pi *(60t) *60[/tex]

[tex]\frac{dA}{dt} = 7200\pi t[/tex]

a)

Using t = 1, we have:

[tex]\frac{dA}{dt} = 7200\pi *1 = 7200\pi\ cm^2/s[/tex]

b)

Using t = 3, we have:

[tex]\frac{dA}{dt} = 7200\pi *3 = 21600\pi\ cm^2/s[/tex]

c)

Using t = 5, we have:

[tex]\frac{dA}{dt} = 7200\pi *5= 36000\pi\ cm^2/s[/tex]

We can conclude that the area of the circle increases faster when the time increases.

Answer:

Radius = 6.5cm

Diameter = 13cm

Step-by-step explanation:

The diameter is given (13)

Radius is half the diameter (13/2=6.5)

Answer:

Explanation

The straight line is drawn from the centre of a circle to a point on its circumference is called radius of the circle. The radius of a circle is half of its diameter.

The chord that passes through the centre of a circle is called diameter of circle. Diameter is also called the largest chord of any circle. The length of diameter of a circle is two times it's radius.

Hope this helps...

Good luck on your assignment...

Answer:

32.5861

Step-by-step explanation:

I interpreted it this way:

20 - stop at n = 20 (inclusive)

1 - start at n = 1

4(8/9)^(n - 1) - geometric expression

Answer:

  35.98

Step-by-step explanation:

Fill in the numbers and do the arithmetic.

  y = a + bx . . . . . . a=4.95, b=0.29, x=107

  y = 4.95 + 0.29(107) = 35.98

The predicted price is 35.98.

Answer:

$6,200.

Step-by-step explanation:

Using the Simple Interest Formula, you can calculate how much interest you can get after 6 years.

Interest = 5000 * 0.04 * 6 = 5000 * 0.24 = 1,200

The total interest that you can gain from those 6 years is $1,200.

Add your $5,000 initial deposit, and you will have $6,200 in 6 years.

Hope this helps!

The balance will be $6,200 in 6 years.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

If you deposit $5,000 into an account that pays 4% simple interest per year.

Here, Principal (P) = $5,000 ,

Rate of Interest in % per annum( R )= 4%, and

Time (T ) = 6 years

Using the Simple Interest Formula, you can calculate how much interest you can get after 6 years.

Simple interest = P × R × T

Simple interest = 5000 × 0.04 × 6

Simple interest = 5000 × 0.24

Simple interest = 1,200

You can earn $1,200 in interest over the duration of those six years.

Now you add a $5,000 Principal amount, and you will have $6,200 in 6 years.

Therefore, the balance will be $6,200 in 6 years.

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Answer:

x = 5/2

x = 2 1/2

x = 2.5

Step-by-step explanation:

3x - 1 - (x + 3) = 1

3x - 1 - x - 3 = 1

2x - 1 - 3 = 1

2x - 4 = 1

2x = 1 + 4

2x + 5

2x = 5

x = 5/2 → 2 1/2 → 2.5 ( can be written in any of these forms depending on what you need to do)

Hope this helped! :)

Answer:

Step-by-step explanation:

3x−1−(x+3)=1

First remove the bracket

That's

3x - 1 - x - 3 = 1

Group the constants at the right side of the equation

That's

3x - x = 1 + 1 + 3

Simplify

We have

2x = 5

Divide both sides by 2

That's

2x / 2 = 5/2

Hope this helps you

Answer:

40 miles per hr.

Step-by-step explanation:

alll u have to do is divide the number of miles by the hrs.

ex.80/2=40

140/3.5=40

200/8=40

300/7.5=40

Answer:

The x-intercepts as shown on this graph are: (-3,0), (1,0), and (3,0). The y-intercept as shown on this graph is: (0,2).

Step-by-step explanation:

The intercepts refer to where the function intersects with either the x-axis or y-axis. Since the line crosses the y-axis at (0,2), that's the y-intercept. The same thing applies to the x-intercepts. On this graph, it's easier to identify because the intercepts are marked with dots.

Answer:

An inverse variation is something of the shape:

y = k/x.

Knowing that the point (5, 10) is included in this equation, we can obtain the value of k.

10 = k/5.

10*5 = k

k = 50

Then our inverse variation is:

y = 50/x.

Now we can give any value of x in order to find another point that is included in the variation, for example, if x = 5

y(5) = 50/5 = 10

then the point (5, 10) does also belong to the inverse variation.

if x = 50

y(50) = 50/50 = 1.

then the point (50, 1) does also belong to the inverse variation.

Answer:

2 ft/s

Step-by-step explanation:

The lamppost is 24 ft. tall, and the man is 6 ft. tall. So, we will use a proportion to find the shadow.

Let s is the length of the base of the lamppost to the shadow while x is the length of the base of the lamppost to the man, so the length of the shadow is s - x.

Using triangular ratio, we have;

24/6 = s/(s - x)

4 = s/(s - x)

We cross multiply and distribute to get;

4s - 4x = s

4s - s = 4x

3s = 4x

s = 4x/3

Taking the derivative of both sides according to time, we have;

ds/dt = (4/3)dx/dt

Now, dx/dt is given as 6 ft/s

So;

ds/dt = (4/3) × 6

ds/dt = 8 ft/s

For us to find the rate of length of the shadow according to time, we recall that the shadow = s - x, so we will just take the derivative of each and subtract. Thus;

d(s - x)/dt = ds/dt - dx/dt

Plugging in the relevant values, we have;

ds/dt - dx/dt = 8 - 6 = 2 ft/s

Answer:

B. Use your compass to draw an arc at C

Step-by-step explanation:

General rules and ways to draw line AB and another line parallel to AB

Use a meter rule and draw a line.

Mark out your point AB in the line using your compare with specified dimensions.

Place your compass at A and draw an arc above the line.

Place your compass at B also and draw an arc above the line.

Where the both arc intersect name it C.

Then Use your compass to draw an arc at C.

Draw another arc of same dimension and equidistant to c.

Join both arc to give a parallel line with line AB

Answer: it’s c

Step-by-step explanation:

because I just got it wrong on a-pex

Answer:

a) Fill in the spaces

The probability of the event "have a Bachelor's Degree" is affected by the occurrence of the event "never married", and the probability of the event "never married" is affected by the occurrence of the event "have a Bachelor's Degree", so the events are not independent.

b) Probability of a woman aged 25 or older having a bachelor's degree and having never married = P(B n NM) = 0.0369

This probability is the probability of the intersect of the two events, 'have bachelor's degree' and 'have never married' for women aged 25 or older.

Step-by-step explanation:

Complete Question

According to a government statistics department, 20.6% of women in a country aged 25 years or older have a Bachelor's Degree; 16.6% of women in the country aged 25 years or older have never married; among women in the country aged 25 years or older who have never married, 22.2% have a Bachelor's Degree; and among women in the country aged 25 years or older who have a Bachelor's Degree, 17.9% have never married. Complete parts a) and (b) below.

(a) Are the events "have a Bachelor's Degree" and "never married"? independent? Explain.

(b) Suppose a woman in the country aged 25 years or older is randomly selected. What is the probability she has a Bachelor's Degree and has never married? Interpret this probability.

Solution

The probability of the event that a woman aged 25 or older has a bachelor's degree = P(B) = 20.6% = 0.206

The probability of the event that a woman aged 25 or older has never married = P(NM) = 16.6% = 0.166

Among women in the country aged 25 years or older who have never married, 22.2% have a Bachelor's Degree.

This means that the probability of having a bachelor's degree given that a woman aged 25 or older have never married is 22.2%.

P(B|NM) = 22.2% = 0.222

And among women in the country aged 25 years or older who have a Bachelor's Degree, 17.9% have never married

This means that the probability of having never married given that a woman aged 25 or older has bachelor's degree is 22.2

P(NM|B) = 17.9% = 0.179

a) To investigate if the two events 'have a bachelor's degree' and 'have never married' are independent for women aged 25 or older.

Two events are said to be independent if the probability of one of them occurring does not depend on the probability of the other occurring. Two events A and B can be proven mathematically to be independent if

P(A|B) = P(A) or P(B|A) = P(B)

For the two events in question,

P(B) = 0.206

P(NM) = 0.166

P(B|NM) = 0.222

P(NM|B) = 0.179

It is evident that

P(B) = 0.206 ≠ 0.222 = P(B|NM)

P(NM) = 0.166 ≠ 0.179 = P(NM|B)

Since the probabilities of the two events do not satisfy the conditions for them to be independent, the two events are not independent.

b) Probability of a woman aged 25 or older having a bachelor's degree and having never married = P(B n NM)

The conditional probability, P(A|B), is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

P(A n B) = P(A|B) × P(B)

or

= P(B|A) × P(A)

Hence,

P(B n NM) = P(NM n B) = P(B|NM) × P(NM) = P(NM|B) × P(B)

P(B|NM) × P(NM) = 0.222 × 0.166 = 0.036852 = 0.0369

P(NM|B) × P(B) = 0.179 × 0.206 = 0.036874 = 0.0369

Hope this Helps!!!

hope it helps uh.......

Answer:

D

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

8/x+2=2/x-4

8/x=2/x-6

8=2-6x

6=-6x

-1=x

Answer:

x=6

Step-by-step explanation:

8/x+2=2/x-4

Using cross products

8*(x-4) = 2 (x+2)

Distribute

8x - 32 = 2x+4

Subtract 2x

8x-2x -32 = 2x-2x+4

6x-32 = 4

Add 32

6x-32+32 = 4+32

6x = 36

Divide by 6

6x/6 = 36/6

x = 6

Answer:

9 pounds of deluxe

42 pounds of regular

Step-by-step explanation:

given data

Deluxe coffee mix with regular coffee = 51

mix contains deluxe coffee = 9 pounds

Deluxe coffee costs ​$5

regular coffee costr = ​$3

solution

we consider here

deluxe coffee = x lbs

regular coffee = y lbs

and

x+ y ≥ 52

and mixture contains at least 9 pounds of deluxe coffee

so  x ≥ 9

and

cost equation will be

cost C = 5x + 3 y

deluxe costs more than regular

and here we want to use as possible as to minimize the cost

so least amount

x + y = 51

x  = 9

y = 51 - 9

y = 42

Answer: Left column x- axis

Right column : Tournament round

Left column: y-axis.

Right column: number of teams remaining

Step-by-step explanation:

You expect the y -value, teams remaining to decrease as you go from the first round to the last round in the x-values.

After the first round only 32 teams will left.

After the second round 16 teams will left.

After the third round 8 teams will left.

After the fourth round only 4 teams will left.

After the fifth round only 3 teams will left.

After the sixth round only 1 team will left.

If x and y are two variables in an algebraic equation and every value of x is linked with any other value of y, then 'y' value is said to be a function of x value known as an independent variable, and 'y' value is known as a dependent variable.

An exponential function is a mathematical function in the form f(x) = [tex]a^{x}[/tex] where x is a variable, and a is a constant called the base of the function.

According to the given question

We have an exponential function

[tex]f(x) = 64(\frac{1}{2} )^{x}[/tex]

And y-axis  represents the teams remaining and x axis represents the tournaments round

Since, here the values of x are independent variables and values of y are dependent variables.

Now for the

Tournament round 1 ,

y = f(1) = [tex]64(\frac{1}{2} )=32[/tex]

⇒ 32 teams are remaining

Tournament round 2

[tex]y = f(2) = 64(\frac{1}{2}) ^{2}[/tex]

⇒ y = 16, only 16 teams are remaining

For round 3

[tex]y = f(3) = 64(\frac{1}{2}) ^{3} =8[/tex]

For round 4

[tex]y = f(4) = 64(\frac{1}{2} )^{4}= 4[/tex]

⇒ Only 4 teams are remaining

For round 5

[tex]y = f(5) = 64(\frac{1}{2} )^{5} = 2[/tex]

⇒ only 2 teams are remaining

For round 6

[tex]y = f(6) = 64(\frac{1}{2}) ^{6}=1[/tex]

⇒ only one team is remaining

By using these parameters we will plot a graph for tournament rounds .

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Hey there! :)

Answer:

Last choice. a= 6.

Step-by-step explanation:

Starting with:

-6(2 + a) = -48

Distribute the -6:

-6(2) -6(a) = -48

Simplify:

-12 - 6a = -48

Add 12 to both sides:

-12 + 12 - 6a = -48 + 12

-6a = -36

Divide both sides by -6:

a = 6. Therefore, the last choice is correct.

Answer:

a = 6

Step-by-step explanation:

Solve the one-variable equation using the distributive property and properties of equality.

–6(2 + a) = –48

What is the value of a?

a = –6

a = –3

a = 5

a = 6

Answer:

1

Step-by-step explanation:

We will use polynomial remainder theorem or little Bézout's theorem. It states that reminder p(x) divided by (x - a) is p(a). In our case (a = 3) it is p(3) = 1

Answer:

192 m^2.

Step-by-step explanation:

We can split this up into 3 rectangles:

Area of the bottom rectangle = 27 * (9-3)

= 27 * 6 = 162 m^2.

Area of rectangle on the left = (18-6)*2

= 24 m^2

Area of small rectangle on the right = 3*2

= 6 m^2

Total area = 162+24+6

192 m^2.