(need help 35 points)

Answer:

12,000

Step-by-step explanation:

20000 x 0.06 x 10

Answer:

$12,000

Step-by-step explanation:

To solve, use the PRT formula to find the interest rate.

Notes: Base formula, written as I = Prt or I = P × r × t where rate r and time t should be in the same time units such as months or years. Time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501 days/quarter.

Answer:

Exact Form: x = ln(3)

Decimal Form: x = 1.09861228…

If A, B and C be events relative to the sample space S, then the Venn diagram of the representing event has been plotted

Let A, B and C be events relative to the sample space S.

The sample space is the set of all possible outcomes of the experiment.

The Venn diagram is the pictorial representation of the sample space of the experiment by using the circles and the overlapping of the circles.

Here we have to plot the each representing events using the Venn diagram representation

Part a

The event is (A ∩ B)'

Plot the Venn diagram

Part b

The event is (A ∪ B)'

Plot Venn diagram

Part c

The event is (A ∩ C) ∪ B

Plot the Venn diagram

Therefore, the Venn diagram of the each event has been plotted

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Answer:

28

Step-by-step explanation:

12+[(15-5)]+(9-3)]

PEMDAS

Parentheses first

12+[(10)]+(6)]

Then add

12+10+6

Answer: 28

Step-by-step explanation:

Answer:

683004.00

3854.93

Step-by-step explanation:

Using the given ratio we will see that each kilogram costs 15 dollars.

We know that coffee at $12 per kg is mixed with coffee at $16 per kg in the ratio of 1: 3.

Then we have 4 kilograms, and the total cost of these 4 kg is:

1*$12 + 3*$16 = $60

Dividing that between the 4 kilograms:

$60/4 = $15

Each kilogram costs 15 dollars.

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The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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207/5 is the simplest form of  \(1\frac{3}{10}\) ×18

A number system is defined as a system of writing to express numbers.

We need to find the simplest form of \(1\frac{3}{10}\) ×18

Convert the mixed fraction to improper fraction and simplify.

 \(1\frac{3}{10}\)=23/10

Now multiply Twenty three divided by ten with eighteen.

23/10×18

Multiply 23 and 18

23×18=414

Now divide 414 by 10

414/10

Both numerator and denominator can be divided by 2 so

207/5

Hence 207/5 is the simplest form of  \(1\frac{3}{10}\) ×18

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Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Okay, here we have this:

Considering the provided line, we are going to calculate the slope using two points through which it passes (0, 5) and (1, 2), so we obtain the following:

m=(y2-y1)/(x2-x1)

m=(2-5)/(1-0)

m=-3/1

m=-3

Here we have that the estimated slope of the provided line is: -3.

Answer:

The answer is that the simplest fraction form of 34% is 17/50

Step-by-step explanation:

Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.

34% = 17/50

Have an awesome day! :D

Answer:

\(\frac{17}{50}\)

Step-by-step explanation:

To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as \(\frac{34}{100}\).

Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.

\(\frac{34}{100}\) = \(\frac{17*2}{50*2}\)= \(\frac{17}{50}\)

Answer:

14, -7, -2

Step-by-step explanation:

The coefficient is the number that multiplies the variable, so list the numbers that fall under that definition:

14x - 7x + 1 - 2x

↑      ↑          ↑

14    -7         -2

The coefficients in the expression are 14, -7, and -2.

Answer:

It's the second answer choice

Step-by-step explanation:

Answer:

it is-  one million, three hundred ninety eight thousand, five hundred and seventy six

Step-by-step explanation:

Answer:

2 B + p h

Step-by-step explanation:

The Surface Area = 2 B + p h

B is the area of the triangular base of prism

p perimeter of the base and

h the height of the prism

Answer:SA=(1/2)(5)(12)+(1/2)(5)(12)+(5)(2)+(12)(2)(13)(2)

Ans C

Step-by-step explanation:

Edgy

Answer:

32

Step-by-step explanation:

Mags is 34. If Vector's age+2 is equal to Mags' age, and she is 34, just subtract 2 from 34, which equals 32.

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

Answer:

We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.

Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.

Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.

Step-by-step explanation:

The area of the park is about :

95 + 27 = 122 yards

We have the following information available from the question is:

The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.

Now, According to the question:

Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,

So the area of the park is about :

95 + 27 = 122 yards

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Answer:

Lateral Area = 624 square units

Surface area = 1,200 square units

Volume = 960 cubic units

Step-by-step Explanation:

==>Given:

Dimensions of the square pyramid as shown in the figure are:

length of 1 side of the square base (s) = 24

Slant height (l) = 13

Perpendicular height (h) = ?

==>Required:

a. Lateral area (L.A) = 4 × ½sl

b. Surface Area (S.A) = Base area (s²) × Lateral area (4 × ½sl)

c.Volume of the pyramid = ⅓ × Base area (s²) × perpendicular height (h)

==>SOLUTION:

a. Lateral area (L.A) = the area of the 4 lateral faces of the pyramid, which are triangular faces.

L.A = 4 × ½sl

From the figure given, s = 24; l = 13,

Therefore, L.A = 4 × ½ × 24 × 13

= 4 × 1 × 12 × 13

Lateral Area = 624 square units

b. Surface Area (S.A) = Base area (s²) × Lateral area (4 × ½sl)

Base area (s²) = 24² = 576 square units

Lateral area (4 × ½sl) = 624 square units

Therefore, total surface area = 576 + 624

= 1,200 square units

c. c.Volume of the pyramid using the formula ⅓ × Base area (s²) × perpendicular height (h)

Base area (s²) = 576 square units

Perpendicular height (h) is not given in the figure = h

Since already know the slant height (s), let's use Pythagorean theorem to find the perpendicular height (h) bearing in mind that a right triangle is formed in the middle of the pyramid as illustrated in the figure attached below.

The base of the right triangle = ½ of side length of the base (s) = ½ × 24 = 12

The hypotenuse (l) = 13

Therefore using the Pythagorean Theorem formula a² + b² = c², let's find the perpendicular height (h).

Where,

a² = h²

b² = (½s)² = 12²

c² = l² = 13²

Thus, h² + 12² = 13²

h² = 13² - 12²

h² = 169 - 144

h² = 25

h = √25

h = 5

==>Volume of pyramid (V) = ⅓ × Base area (s²) × perpendicular height (h)

V = ⅓ × 576 × 5

V = ⅓ × 2,880

V = 960 cubic units

Answer:

Genotype: 100% rr
phenotype: 100% white

Step-by-step explanation:

since there are no dominant genes the cross will definitely be a rr genotype

Answer: 9

Step-by-step explanation:

Answer:

x=1, y=-5

Step-by-step explanation:

4(1)+2y=-6

2y=-10

y=-5

or

-3x-2(-5)=7

-3x=-3

x=1

Hope this helps!

Answer:

33 and 25

33 + 25 = 58

33 x 25 = 825

Answer: i dont know

Step-by-step explanation:

Answer:

14 & 21

Step-by-step explanation:

14 + 21 = 35

21 - 14 = 7

Answer:

21 & 14

Step-by-Step explanation:

35 minus 7= 28 then divide that by 2 and you get 14 so now add the 7 to 14 and you get 21 and that will be the bigger number.

Answer: 1014.2

Step-by-step explanation: you look to the right of 1 and if it is 5 or greater you round up. If it is 4 or less you keep it the same number as it is.

The speed is proportional to the elapsed time. It doesn't depend on the mass. a)Mg/c is the limit and b)gt is the limit

What is speed?

a) lim t-->∞  v = mg/c
  mg/c is the limit
2)It is the speed the object approaches as time goes on.
b) lim c-->0^(+)   v = gt.

  gt is the limit
3)The speed is proportional to the elapsed time. It doesn't depend on the mass. The longer the object falls the faster it will fall because same acceleration g it will not depend on mass.

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