What is the value of 6x exponent 4 when x = 5

Explanation:

Taking into account the law of cosines, we can write the following equation:

Then, replacing the values for a, b, and c, we get:

Solving for cos A, we get:

Therefore, the value of angle A is:

Now, we can use the law of sines, we can write the following equation:

So, replacing the values and solving for B, we get:

In the same way, Angle C is equal to:

So, the answers are:

A = 51.3°

B = 18.2°

C = 69.5°

In linear equation, Joshua should buy is 255 + 6s ≥ 333.

What is linear equation in math?

Let the sets of spoons be represented by s

The restaurant needs at least 333 spoons.

Each set on sale contains 8 spoons

There are currently 333 spoons.

At least as an inequality is ≥

Hence:

255 + 6 × s ≥ 333

255 + 6s ≥ 333

Therefore, inequality tha can be used to determine s the minimum number of sets of spoons Joshua should buy is

255 + 6s ≥ 333

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A rhomus has te following shape:

therefore, the top part is missing, if we analyze, it should be 5 on the y axis and 3 on the x axis.

Answer: (3,5)

Given:

In 2000, the profit of Company A was $9,875,000.

Each year after 2000, the profits fell by $29,532 on average.

So, the losses of the profit per year = $29,532

We will construct a linear model for this scenario

Let the number of years after 2000 = x

And the profit after the year 2000 = y

the linear model will be: y = mx + b

Where m is the slope which represents the losses per year and the b is the initial profit of the year 2000

So, the linear model will be:

now, we will use the equation to find the profit in the year 2030

so, x = 2030 - 2000 = 30

substitute x = 30 into the equation:

So, the answer will be:

The equation of the model: y = -29532x + 9875000

The profit in the year 2030 = 8989040

Answer:

The discriminant is greater than 0, so there are two real roots.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.2 cm}\underline{Discriminant}\\\\$b^2-4ac$ \quad when $ax^2+bx+c=0$\\\\If $b^2-4ac > 0 \implies$ two real roots\\If $b^2-4ac=0 \implies$ one real root\\If $b^2-4ac < 0 \implies$ no real roots\\\end{minipage}}[/tex]

Given equation:

[tex]2x^2-9x+2=-1[/tex]

Add 1 to both sides of the equation so that the equation equals zero:

[tex]\implies 2x^2-9x+2+1=-1+1[/tex]

[tex]\implies 2x^2-9x+3=0[/tex]

Compare the equation with ax²+bx+c=0:

Substitute the values of a, b and c into the discriminant formula and solve:

[tex]\begin{aligned}\implies b^2-4ac&=(-9)^2-4(2)(3)\\&=81-4(2)(3)\\&=81-8(3)\\&=81-24\\&=57\end{aligned}[/tex]

As 57 > 0, the discriminant is greater than zero, so there are two real roots.

Answer:

B on Edge 23

Step-by-step explanation:

trust me bro

Emily needs to make party hats in the shape of a cone. She

wants the hat to have a radius of 6 inches and a height of

15 inches. What is the volume of the party hat?

a) 565.2

b) 94.2

c) 2260.8

d) 188.4

the volume of a cone is equal to

we have

pi=3.14

r=6 in

h=15 in

substitute

answer is option A

1) Let's find out how many times there are more visitors by dividing the number of visitors from A by B's visitors:

Dividing firstly 8 by 4, and then using the exponents pro

Answer:

Exactly three times.

Step-by-step explanation:

(6/7) / (2/7) = (6/7) * (7/2) = 3/1 * 1/1 = 3

It's important to know that similar figures have equal angles, for example, if two triangles are similar, then their corresponding angles are congruent.

Having said that, D is true because all rectangles have equal angles.

171 is 0.9% of 19000

let the unknown number be = y

0.9% * y = 171

0.9% = 0.009

0.009 × y = 171

0.009y = 171

DIvide both sides by 0.009:

0.009y/0.009 = 171/0.009

y = 19,000

Hence, 171 is 0.9% of 19000

We would expect the answer to be a lot greater than 171 because the percentage is quite small (less than 1%). Divindg a number by a very small decimal makes the result large.

Hence, the number would be large.

The constant of variation is 1.6, and then the direct variation equation is:

y = 1.6*x

A direct variation between two variables can be written as:

y = k*x

Where k is called the constant of variation.

Here we know that when x = 20, the value of y is 32, replacing that in the above equation we get:

32 = k*20

Solving this for k we get:

32/20 = k = 1.6

Then the equation is:

y = 1.6*x

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To determine the height of tree using trigonometric ratio,

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

From the table, we can see that:

Gross profit for Q 1 = 85 x 1000= 85,000

Gross profit for Q 2= 94 x 1000 = 94, 000

Hence the increase in Gross profit = 94,000 - 85,000 = 9000

Then,

CONCLUSION:

The percent change = 10. 6 % ( to the nearest tenth)

The most appropriate choice for unitary method will be given by-

Length of driveway  in the drawing is 3 inch

What is unitary method?

Unitary method is the method in which value of a single unit can be calculated from the value of a multiple unit and value of a multiple unit can be calculated from the value of a single unit.

Sometimes value of single unit is less than value of multiple unit

For example - cost of food and quantity of food

Sometimes value of single unit is more than value of multiple unit

For example- Number of men and time taken by those men to do a work

Here,

Scale used by Maureen is 1 inch = 8ft

Actual length of house's driveway = 24 feet

8 ft of room is equal to 1 inch on scale

1 ft of room is equal to [tex]\frac{1}{8}[/tex] inch on scale

24 feet of room is equal to [tex]\frac{1}{8} \times 24[/tex] inch on scale

24 feet of room is equal to 3 inch on scale

Length of driveway  in the drawing is 3 inch

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c) (1,0)

1) In order to perform this translation firstly, locate point A in the graph. A is at (-4, 1).

2) Secondly, apply the given rule for this translation for this point.

Pre-image rule Image

(-4,1) (x+5, y-1) (-4+5, 1-1)= (1, 0)

Since the question just asks us A' then We can stop it here and say A' will be at (1,0)

3) So A', is going to be located at point ( 1,0)

The equation has only one solution.

Equation solutions are numerical numbers that meet the requirements of the equation. When our answers are used to replace the variables in the equations, true assertions are obtained.

A mathematical equation proves the equality of two expressions. There is a mathematical formula: 4 + 4 = 8. A mathematical formula that has one or more variables is called an algebraic equation. Therefore, (2x + 5 = 35) is a linear equation with one variable. Its graph is a straight line, and its first-degree variable is (x).

Given

3+x = 2-3x

3-2 = -3x - x

1 = -4x

x = -1/4

Hence, x has only one value.

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The graph of a function is given.

When the function of x is -3, that is

That means the input value which is x, gives us negative 3.

Looking at negative 3 from the graph, the value of x where the graph equals negative 3 (on the vertical axis, or y-axis) is either negative 2 or 1. That is

Also, when the input of the function is zero, then you'll have the output as

This means when the value of x is zero, then the output as shown on the graph is 1 (that is the graph touches the y-axis at 1)

Therefore;

(a) One value of x for which f(x) = -3 is -2 (OR 1)

(b) f(0) = 1

Answer:Here I hope this helps

1/10=irrational

1/16=rational

1/4=rational

1/2=irrational

1/8=irrational

Step-by-step explanation: you can go into desmos graphing calculator and plug in each number into the square root and it will tell you if its irrational or not.

The next three terms of the following sequences are:

7. The next three terms are 2, 2, and 3.

8. The next three terms of the sequence are 4, 8, and 16.

9. The next three terms of the sequence are 3, 6, and 9.

10. The next three terms of the sequence are 1, 2, and 3.

7.

Consider the recursive formula,

f( 0 ) = 3, f( n ) = f( n - 1 ) + ( n - 2 )

The next three terms of the sequence will be n = 1, 2, and 3.

Then,

f( 1 ) = f( 1 - 1 ) + ( 1 - 2 )

f( 1 ) = f(0) - 1 = 3 - 1 = 2

The second term of the sequence,

f( 2 ) = f( 2 - 1 ) + ( 2 - 2 )

f( 2 ) = f( 1 ) + 0

f( 2 ) = 2

The third term,

f( 3 ) = f( 3 - 1 ) + ( 3 - 2 )

f( 3 ) = f( 2 ) + 1

f( 3 ) = 2 + 1 = 3

8.

Consider the recursive formula,

f( 1 ) = 2, f(n ) = 2f( n - 1 )

The next three terms of the sequence will be n = 2, 3, 4.

Therefore,

f( 2 ) = 2f( 2 - 1 )

f( 2 ) = 2( f (1) )

f( 2 ) = 4

f( 3 ) = 2f( 3 - 1 )

f( 3 ) = 2f( 2 )

f( 3 ) = 8

f( 4 ) = 2f( 4 - 1 )

f( 4 ) = 2f( 3 )

f( 4 ) = 16

Hence, the next three-term are 4, 8, and 16.

9.

Consider the recursive formula,

f( 0 ) = 0, f( n ) = f( n - 1 ) + 3

The next three terms of the sequence will be n = 1, 2, 3.

Then,

f( 1 ) = f( 1 - 1 ) + 3

f( 1 ) = 0 + 3 = 3

f( 2 ) = f( 2 - 1 ) + 3

f( 2 ) = 3 + 3 = 6

f( 3 ) = f( 3 - 1 ) + 3

f( 3 ) = f( 2 ) + 3

f( 3 ) = 6 + 3 = 9

10.

Consider the recursive formula,

f( 0 ) = 1, f( 1 ) = 1, f( n ) = f( n - 1) + f( n - 2 ), for n > 1

Then, the next three terms will be n = 2, 3, 4

f( 2 ) = f( 2 - 1 ) + f( 2 - 2 )

f( 2 ) = f( 1 ) + f( 0 )

f( 2 ) = 1 + 0 = 1

f( 3 ) = f( 3 - 1 ) + f( 3 - 2 )

f( 3 ) = f( 2 ) + f( 1 )

f( 3 ) = 1 + 1 = 2

f( 4 ) = f( 4 - 1 ) + f( 4 - 2)

f( 4 ) = f( 3 ) + f( 2 )

f( 4 ) = 2 + 1

f( 4 ) = 3

The next three terms of the sequence are 1, 2, and 3.

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There can be two methods that we can use to solve this problem. As per composition of the function, we substitute the function g(x) on the x's of f(x) o get fog. We have

We then substitute 7.5 on the resulting function above to evaluate (f o g) (7.5). We get

The other way around is to start evaluating g(x) for x = 7.5 and then the value that we got in g(x) will be substituted on f(x). We got

The amount of nitrogen is 1.80 cubic meters if a full air container has a volume of 2.3 m³, and 78.1 % of that air is nitrogen.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

From the data given:

The total volume of the air container = 2.3 cubic meters

78.1 % is nitrogen.

The amount of nitrogen = 78.1 % of 2.3

= (78.1/100)x2.3

= 1.7963 cubic meters

The number 1.7963 to three Significant Figures is 1.80

The amount of nitrogen = 1.80 cubic meters

Thus, the amount of nitrogen is 1.80 cubic meters if a full air container has a volume of 2.3 m³, and 78.1 % of that air is nitrogen.

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Since it is given that trapezoids are similar so,

So value of y is 20.

We have to solve the following equation for the variable x:

For doing so, we assume that the variables a, b, c and d behave as normal numbers, and we will move the terms with x to the left side, and those who doesn't have it, to the right.

Now, we will factor the variable x, as we want to have just one expression with x, thus:

And lastly, we will divide both sides by 2a-c, and we obtain:

Which is the asked expression for x.

ANSWER

$51

EXPLANATION

Let the cost of one cookie be c.

Let the cost of one brownie be b.

3 cookies and 5 brownies cost $19. This means that:

3 * c + 5 * b = 19

3c + 5b = 19 ___(1)

2 cookies and 10 brownies cost $26. This means that

2 * c + 10 * b = 26

2c + 10b = 26 ____(2)

We have two simultaneous equations:

3c + 5b = 19 ___(1)

2c + 10b = 26 ____(2)

From (2):

2c = 26 - 10b

Divide through by 2:

c = 13 - 5b

Put this in (1):

3(13 - 5b) + 5b = 19

=> 39 - 15b + 5b = 19

Collect like terms:

-15b + 5b = 19 - 39

-10b = -20

Divide through by -10:

b = -20 / -10

b = $2

Remember that:

c = 13 - 5b

=> c = 13 - 5(2)

c = 13 - 10

c = $3

Therefore, one cookie costs $3 and one brownie costs $2.

Therefore, the cost of 13 cookies and 6 brownies is:

13 * 3 + 6 * 2

=> 39 + 12

=> $51

13 cookies and 6 brownies cost $51

Richard’s net pay for the week if he earns $2,200 is equal to $1,797.65.

Mathematically, net pay can be calculated by using this formula:

Net pay = Gross pay - Deductions.

First of all, we would determine Richard's Medicare tax and Social Security tax on $1,000 as follows:

Medicare tax = $2,200 × 1.45/100

Medicare tax = $31.9

Social Security tax = $1,000 × 6.2/100

Social Security tax = $62

Since Richard claims 2 exemptions and paid weekly, we would calculate the withholdings from his weekly pay by using the information provided in Table 1 (see attachment):

Two (2) exemptions = $76.9 × 2 = $153.8

Withholdings = $2,200 - $153.8

Withholdings = $2046.2

Since Richard claims to be married, we would calculate his federal tax withholdings by using the information provided in Table 1 (see attachment):

Over $1,606 = $198.40 plus 25%

= $2046.2 - $1,606 = $440.2

Federal tax withholdings = $198.40 + (25/100 × $440.2)

Federal tax withholdings = $198.40 + $110.05

Federal tax withholdings = $308.45

Now, we can calculate Richard's net pay as follows:

Richard's net pay = Gross pay - Medicare tax - Social Security tax - Federal tax withholdings

Richard's net pay = $2,200 - $31.9 - $62 - $308.45

Richard's net pay = $1,797.65

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If h(x) = 2x and k(x) =2x -k, then h(k(x)) would be:

h(k(x))= 2*(2x-k)

h(k(x))= 4x - 2k Using distributive property

Final answer is: h(k(x))= 4x - 2k

The solutions to the equations are :

1.  x= 8 ; y = -2

2.infinitely many solutions.

3. x= - 2 ; y = 0

4.  x= -1 ; y = 5

How are the equations solved?

1.  x+4y=0  --(1)

  3x+2y= 20  ---(2)

(1)*3

3x+ 12y =0   ---(3)

(3) - (2)

(3x+ 12y) -(3x+2y -20)

10y +20= 0

10 y = -20

y = - 2

Substituting y in equation(1)

x+ 4 (-2) = 0

x = 8

The solutions to the equations are x= 8 and y = -2

2.  6x+3y=54  --(1)

2x+y=18   ----(2)

(2)*3

6x+3y=54 --(3)

(3) = (1)

0 = 0

The equations have infinitely many solutions.

3.  x -3y= -2  --(1)

10x+8y=-20  ---(2)

(1)*10

10x - 30y +20 = 0--(3)

(3) - (2)

(10x - 30y +20 )- (10x+8y +20)

-38y = 0

 y = 0

Substituting y in equation(1)

x - 0 = -2

x = -2

The solutions to the equations are x= - 2 and y = 0

4.

3x-y=-8  ---(1)

5x+2y=5  ---(2)

(1)*2

6x -2y+16 =0---(3)

(3) +(2)

(6x -2y+16) +(5x+2y-5)

11x +11 = 0

11x = -11

x = -1

Substituting x in equation(1)

3(-1) -y = -8

-3- y = - 8

- y = -8+3

-y = -5

y = 5

The solutions to the equations are x= -1 and y = 5

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Since 20-inch pizza, means it is a circle with a diameter of 20 inches

Since the diameter is twice the radius, then

The raduis = 20/2 = 10 inches

Then the area of it is

The area of the first pizza is 314 square inches

Since the diameter of the other area is 12 inches, then

The radius = 12/2 = 6 inches

Then the area of it is

Then the area of the second pizza is 113.04 x 2 = 226.08 square inches

Since the area of the first offer is greater than the area of the second offer, then

The first size gives more pizza

Explanation:

The given information is

m∠4 = m∠2

m∠5 = m∠3

m∠DBE = 180

The angle addition postulate says that the angle that the sum of the angles 4, 1, and 5 is equal to the angle DBE, so we can write the following equation

m∠4 + m∠1 + m∠5 = m∠DBE

But, we know that m∠DBE = 180, so by transitivity, we get:

m∠4 + m∠1 + m∠5 = 180

Then, we also know that m∠4 = m∠2 and m∠5 = m∠3, so we can substitute the angles to get

m∠2 + m∠1 + m∠3 = 180

Therefore, we can change the order by the commutative property to get

m∠1 + m∠2 + m∠3 = 180

Answer:

So, the answer is