MATH: GRAPHS AND FUNCTIONS PROBLEM 2

Answer:

Step-by-step explanation:

Solution

There are 28 students

There are 7 equal groups

There must by 28/7 = 4

Answer

Each group will have 4 students in it..

Based on the amount the annuity pays per month and the APR, the value of the annuity today is $133,349.85.

First, find the present value of the annuity at 5 years:

= 1,850 x present value interest factor of annuity, 60 months, 8/12%

= 1,850 x 49.32

= $91,242

Then find the present value of the annuity from 5 years till date:

= (1,850 x present value interest factor of annuity, 60 months, 12/12%) + ( 91,242) / (1 + 1%)⁶⁰)

= (1,850 x 44.955) +  ( 91,242) / (1 + 1%)⁶⁰)

= $133,349.85

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Simplify both sides of the inequality.

Add 48 to both sides.

Divide both sides by 2.

Therefore, the correct option is "D".

Solve the inequality. 8(x/4-6)>4

O A. × ≥ 11

O B. × ≥ 5

O C. × ≥ - 22

∅ D. × ≥ 26

Given 8(×/4-6)>4

then simplify both sides of the inequality

[ 2 × - 48 ≥ 4 ]

Add 48 to both sides

[ 2 × ≥ 52 ]

Devide both sides by 2

[ 2×/2 ≥ 52/2 ] = [ × ≥ 26 ]

CarryOnLearning <(￣︶￣)>

Answer:

Step-by-step explanation:

The volume of the cylinder is [tex](\pi)(14^{2})(42)=8232\pi[/tex].

The volume of the hemisphere is [tex]\frac{2}{3}(\pi)(14^{3})=\frac{5488}{3}\pi[/tex].

Adding these together gives the exact volume to be [tex]\frac{30184\pi}{3}[/tex].

To the nearest tenth, this is 31608.6 square feet.

The examples of relationship patterns found in mathematics are arithmetic sequence and geometric sequence.

It should be noted that an arithmetic sequence has a common difference. An example is given as: 2, 4, 6, 8. There's a common difference of 2.

For the geometric progression, there's a common ratio. A example is 2, 4, 8, 16, 32. Here, there's a cookie ratio of 2 when the numbers are divided.

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The equivalent form of the  compound inequality  are −2x − 8 < -44 and −2x − 8 ≥ −4

Inequality are expression not separated by an equal sign. Given the compound inequality

−44 > −2x − 8 ≥ −48?

Add 8 to all the sides

−44 + 8> −2x − 8+8 ≥ −48 + 8

−36 > −2x  ≥ −40

This can be also be written as

−44 > −2x − 8 and −2x − 8 ≥ −48

Changing the sides will change the sign to have

−2x − 8 < -44 and −2x − 8 ≥ −48

Hence the equivalent form of the  compound inequality  are −2x − 8 < -44 and −2x − 8 ≥ −4

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Answer:

Step-by-step explanation:

5 + 1 = 6 units

90 : 6 = 15 (one unit)

15 * 5 = 75°

Answer:

$4.5

Step-by-step explanation:

We apply sales tax to the total cost, which in this case is $40 + $50 = $90.

Thus, we have 5% * $90 = $4.5

It even works individually if you apply the tax to both orders separately and add them together:

(50 * 5%) + (40 * 5%) = 4.5

2.5 + 2 = 4.5

The probability that the student will answer 5 correct questions is; P(5) = 0.053

The formula for binomial probability is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

Where;

p = probability of success.

n = number of trials, or the sample size.

x = the number of successes in the probability we are trying to calculate.

Now, we want to find P(5). We are given;

n = 12

x = 5

p = 1/5 = 0.2

Thus;

P(5) = 12C5 * (0.2)⁵ * (1 - 0.2)⁽¹² ⁻ ⁵⁾

P(5) = 0.053

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The statement, square of the product of 6 and a number can be written as 6x²

let

x = unknown number

= 6 × x

= 6x

= 6x²

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Answer:

100744

Step-by-step explanation:

14392

       7

______

        4    (carry the 1)

14392

       7

______

     44    (carry the 6)

14392

       7

______

   744   ( carry the 2)

14329

        7

______

 0744       (carry the 3)

14329

        7

______

 100744      (final answer)

The natural antilogarithm of the given logarithm can be evaluated as; 1.014.

The natural logarithm of the number given in the task content can be evaluated by multiplying by 2.303 as follows;

Natural logarithm value is; 2.303 × 0.0058887

= 0.01356.

On this note, it follows that the natural antilogarithm of the result can be evaluated as;

= 1.014.

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Vertical angles theorem (top one): [tex]\angle 1 \cong \angle 3[/tex]

Given: [tex]\angle 1 \cong \angle 2[/tex]

Transitive property of congruence: [tex]\angle 3 \cong \angle 4[/tex]

Vertical angles theorem (bottom one): [tex]\angle 2 \cong \angle 4[/tex]

Answer: Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.

Answer:

n

Step-by-step explanation:

1) Identify the statement you want to prove is true

2) Assume temporarily that the statement is false; assume the opposite is true

3) Obtain statements that logically follow from your assumption.

4) Reason logically until you reach a contradiction of a known fact.

5) Point out that your assumption must be false, and the statement must then be true.

Answer:

x = 45°

Step-by-step explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent (equal).

From inspection of the given diagram, the straight line with points C and D and the straight line with points F and G intersect at point E.

Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.

From inspection of the diagram:

Therefore:

⇒ ∠FEC =∠DEG

⇒  x = 45°

Answer:

7^15

Step-by-step explanation:

7^5^3 = 7^(5*3) = 7^15

Answer:

c/13 - 10

Step-by-step explanation:

Answer:

x=1,2,3,4 y=3,7,11,15

firstly find d such that d=7-3=4

afunction f(x)= 3+4(x-1)

and x= 1,2,3,4 y=3,9,27,81

y=x²

Answer: $201.81

Step-by-step explanation:

The total amount of faux fur required is [tex]6(3.1)=18.6[/tex] square yards.

Multiplying this by $10.85 per square yard, we get the total cost is [tex](18.6)(10.85)=\$201.81[/tex]

Answer: 7x-5

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)=(7x+1-8)-(-2)=\boxed{7x-5}[/tex]

Answer:

D. (f-g)(x) = |7x+1|-6

Step-by-step explanation:

f(x) = |7x + 1| - 8

g(x) = -2

(f - g)(x) = f(x) - g(x) = |7x + 1| - 8 - (-2)

(f-g)(x) = |7x + 1| - 6

Answer:

Step-by-step explanation:

5+16i

Answer:

5 + 16i

Step-by-step explanation:

(2 + 8i) + (3 + 8i)

• Collect the like terms:

2 + 3 + 8i + 8i

⇒ 5 + 16i

The basic market graph is attached below.

A market is said to have reached equilibrium price when the supply of goods matches demand.

The equilibrium price is the only price where the plans of consumers and the plans of producers agree, where the amount consumers want to buy of the product, quantity demanded, is equal to the amount producers want to sell, quantity supplied. This common quantity is called the equilibrium quantity.

Quantity of gasoline:

Explanation of graph: The demand curve, D, and the supply curve, S, intersect at the equilibrium point E, with an equilibrium price of 1.4 dollars and an equilibrium quantity of 600.

The equilibrium is the only price where quantity demanded is equal to quantity supplied. At a price above equilibrium, like 1.8 dollars, quantity supplied exceeds the quantity demanded, so there is excess supply.

At a price below equilibrium, such as 1.2 dollars, quantity demanded exceeds quantity supplied, so there is excess demand.

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[tex]\sf{\qquad\qquad\huge\underline{{\sf Answer}}}[/tex]

An equation is called any equality that contains one or more unknown quantities, which are called unknowns, and that are only generally verified for certain values of the unknowns.

Thus, for example: 4x - 2 = 3x + 1~4x−2=3x+1 is an equation because it is an equality in which there is one unknown, xx .

⇝Equation resolution:

[tex] \qquad \sf \dashrightarrow4x - 2 = 3x + 14x−2=3x+1

[tex] \qquad \sf \dashrightarrow4x - 2 = 3x + 14x−2=3x+1[/tex]

We transpose the term 3x to the first member.

3x to the first member.We will have:

[tex] \qquad \sf \dashrightarrow4x - 2 - 3x = 14x−2−3x=1[/tex]

Next we transpose the term -2 to the second member.

We will have:

[tex] \qquad \sf \dashrightarrow4x - 3x = 1 + 24x−3x=1+2[/tex]

[tex] \qquad \sf \dashrightarrow \: x = 3x = 3[/tex]

Let's check that x = 3x=3 satisfies the given equation:

[tex] \qquad \sf \dashrightarrow4x - 2 = 3x + 14x−2=3x+1[/tex]

[tex] \qquad \sf \dashrightarrow4(3) - 2 = 3(3) + 14(3)−2=3(3)+1[/tex]

[tex] \qquad \sf \dashrightarrow12 - 2 =9+ 112−2=9+1[/tex]

[tex] \qquad \sf \dashrightarrow10 = 10 \: \: \: \: \:10=10[/tex]

That is, 10 = 10, as we wanted to verify.

I hope I've helped : )

Answer:

The value of x is 3

When x = 3 then both the LHS and RHS of the equation equal to the same number; 10.

Step-by-step explanation:

[tex]4x - 2 = 3x + 1 \\ 4x - 3x = 1 + 2 \\ x = 3 \\ [/tex]

When we substitute the value for x in the expression, we see that the expression represents the same number. i.e

[tex]4x - 2 = 3x + 1 \\ 4(3) - 2 = 3(3) + 1 \\ 12 - 2 = 9 + 1 \\10 = 10 \\ [/tex]

The transformation of a function may involve any change. The function f(x) is vertically stretched and shifted 5 units upwards to form h(x).

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift

Stretching:

The function f(x)=x^(1/3) is transformed to form the function of  h(x)=(2x)^(1/3)+5. Therefore, the transformation made to the function is,

Vertically stretched by a factor of 2^(1/3) ⇒ 2^(1/3) × x^(1/3) = (2x)^(1/3)

Up by 5 units ⇒ (2x)^(1/3) + 5

Hence, the function f(x) is vertically stretched and shifted 5 units upwards to form h(x).

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7 evaluates the expression a2 + b.

option a.7 is the correct choice which evaluates the given expression.

Given values are a = 2 and b =3

the given expression is = a2 + b

To evaluate an expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.

Substitute these value in the given expression.

=2 × 2 ₊ 3

=7

Every time we replace the variables with its values  we get the answer as 7. The other options present does not satisfy the equation.

For ex: 25 , we don't get this number when we substitute the given values in the expression. 10 is also not what we get when we solve the expression. Likewise other options are also invalid.

Hence we get the answer as 7.

Your question is incomplete. Please find the missing content here.

Which of the following choices will evaluate the expression a2 + b when a = 2 and b = 3?

a. 7

b. 10

c. 25

d. None of these choices are correct

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Answer:What is the magnitude of 3i?

3i invested c.

Step-by-step explanation: $182m in Magnitude Software in 2019 to accelerate its global growth ambitions through new product development and investments in sales & marketing, and to build a more integrated enterprise software business.

Answer:

  23.20°

Step-by-step explanation:

All three sides of this right triangle are given, so the acute angle of interest can be found using any of the inverse trig functions.

The tangent of the angle is the ratio of opposite and adjacent sides:

  Tan = Opposite/Adjacent

Here, that means ...

  tan(α) = 3/7

To find the value of α, we need to use the inverse tangent function, also called the arctangent function.

  α = arctan(3/7) ≈ 23.19859°

  α≈ 23.20°

The total surface area of the cuboid is 143.52 cubic cm

The formula for calculating the surface area of a cuboid is expressed as:

SA = 2(lw + wh + lh)

where

l is the length = 7.2cm

w is the width = 3.1cm

h is the height = 4.8cm

Substitute

SA = 2(7.2*3.1 + 7.2*4.8 + 3.1*4.8)

SA = 2(22.32 + 34.56 + 14.88)

SA= 143.52 square cm

Hence the total surface area of the cuboid is 143.52 cubic cm

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