You have 1,312 grams of radioactive kind of lanthanum. If its half-life is 93 minutes, how much will be left after 279 minutes?

Answer:

A

Step-by-step explanation:

s must be a number greater than 7

Answer:

x^3y^2√xy

Step-by-step explanation:

First, you calculate what's in the square root. x^2 becomes x and y^4 becomes y^2.

Then you distribute the 1/2 to the x^5 and the y so they become x^5/2 and y^1/2.

Next, you combine the like terms. x and x^5/2 becomes x^7/2. y^2 and y^1/2 become y^5/2.

So you have x^7/2 y^5/2

To get rid of the 2 on the bottom of the exponents you square root both variables.

So you get √x^7 y^5 (square rooted x^7 and y^5)

Simplify the square rooted problem to x^3 y^2 √xy

You get x to the third power y to the second power and square rooted xy.

The value of f(-7) is -29.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x)=-x² + 2x + 6

So, to find f(-7) put x= -7

f(-7) =  -(7)² + 2(7) + 6

f(-7) =  -49 + 14 + 6

f(-7) =  -29

Hence, the value of f(-7) is -29.

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The range of the function f(x) = 3x - 4, having domain x ≥ 1 is x ≥ -1 and the graph is attached below so, option D is correct.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

The function, f(x) = 3x - 4,

Domain = x ≥ 1

When domain = 1,

Range = 3 × 1 - 4 = -1

When domain = 2

Range = 3 × 2 - 4 = 2

Thus, you can conclude the range of the function as x [-1, ∞) or x ≥ -1

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Answer: Z=35(4)^7

Step-by-step explanation:b = multiplier = 4b = multiplier = 4a = starting amount = 35a = starting amount = 35t = time = 7 hourst = time = 7 hours. a⋅b^t

35(4)735(4)7Equivalent forms:Equivalent forms:35(4)(4)(4)(4)(4)(4)(4)35(4)(4)(4)(4)(4)(4)(4)

Answer:

4

Step-by-step explanation:

[tex] \frac{2}{3} \times 6 = 4[/tex]

I think she can make 4 throw pillows if she should use 6 yards of fabric

i hope this helped

The 20% Tony spends from his monthly salary on the wallet, the bag which cost $20 more than the wallet and the ratio of the wallet to shoe cost of 5:6, which expressed as a fraction is 5/6, indicates;

(a) Tony's monthly salary is $2,400

(b) The amount spent on the pair of shoes is (6/25) of his monthly salary

A fraction is a part of a whole item, expressed as a quotient.

Let x represent Tony's salary, from the details of the question, we get;

The amount Tony spent on the wallet = 20% of his salary

The cost of the bag Tony bought = $20 + The cost of the wallet

Ratio of the cost of the wallet to the cost of the pair of shoes = 5:6

The amount Tony had left = $844

Therefore;

The amount Tony spent on the wallet = 20% of x = 0.2·x

Amount spent on the bag = 20 + 0.2·x

Ratio of the cost of the wallet to the cost of the pair of shoes = 5:6

Therefore;

Cost of the pair of shoes = (6/5)×(0.2·x)

Therefore;

x - 0.2·x - (20 + 0.2·x) - (6/5) ×(0.2·x) = 844

0.36·x - 20 = 844

x = (844 + 20)/0.36 = 2400

(b) The amount Tony spends on the pair of shoes = (6/5) × (0.2·x)

(6/5) × (0.2·x) = (6/5) × (2/10) × x = (12/50)·x = (6/25)·x

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The required factors of the given polynomial is (r^4 + rs^5)(t^8 - (rs^5t^4) + r^2s^10).

A factor  is a number that partitions another number, leaving no remainder portion.  if multiplying two whole number gives us an item, the numbers we are increasing are variables of the item since they are separable by the item.

We have given,

t^12 - r^3(s)^15

By using formula

(a³ - b³) = ( a+ b)( a² -ab + b²)

Then,

(r^4)^3 - (rs^5)^3

(r^4 + rs^5)((t^4)^2 - rs^5t^4 + (r^5)^2)

(r^4 + rs^5)(t^8 - (rs^5t^4) + r^2s^10)

Thus, required answer is (r^4 + rs^5)(t^8 - (rs^5t^4) + r^2s^10), So option (D) is correct.

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you will be on floor no. -8 and your friend will be in floor no. 5 if you and your friend started at floor no. 0

YOU CAN ALSO VISUALISE THIS WAY

Answer: I believe it is reflected over the y-axis.

Step-by-step explanation:

Always look for the dum (I know it is spelled wrong but Brainly won't let me type it) and dummer answer choices. The other two choices aren't even a type of transformation. Think about it. If you are reflecting over the y-axis, the y-values stay the same and the x-values change.

Answer:

56

Step-by-step explanation:

divide 7 into 28 which is 4.

Then substitute 4 for M so 4 times 14 which is 56.

Answer:

23.5 degrees north

Step-by-step explanation:

The factors of y =x³-4x²-17x+60x are (x−3), (x−5) and (x+4)

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

Given:

y =x³-4x²-17x+60x

Let us assume that the factors are

(x−a), (x−b) and (x- c)

So, if x is either equal to a or b or c, y=0

and a⋅ b⋅ c=−60, which means a or b and c are factors of 60.

Thus, which factor of 60 (such as 2, 3, 5, 6, 10 etc.) makes y=0.

It is given that (x−3) is a factor of y

and, When we divide y by (x−3), we get x²−x−20

Similarly x=5 makes x²−x−20 equal and Dividing x2−x−20 by (x−5), we get (x+4)

Hence, the factors of y =x³-4x²-17x+60x are (x−3), (x−5) and (x+4)

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Using the concept of probability, the probability of not landing on yellow or red at all is 1/4.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Creating a square model of the two spins :

Red(R) ; Blue(B) ; Green(G) ; Yellow(Y)

___ R ___ B ___ G ___ Y

R_ RR __ RB __ RG __ RY

B_ BR __ BB __ BG __ BY

G_ GR __GB __ GG __GY

Y_ YR __ YB __ YG __ YY

Sample space = 4² = 16

Combinations without red and yellow :

{BB, BG, GB, GG}

Number of selections without red or yellow = 4

Recall :

Probability = required outcome / Total possible outcomes

P(without Red or Yellow) = 4/16 = 1/4

Hence, the probability of not landing on yellow or red at all is 1/4.

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The solution to the system of equations is ( -2, 0)

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

y = -2x - 4 ------------1

y = x + 2--------------2

Equating equation 1 and 2 we have

-2x - 4 = x + 2

collect like terms

-2x - x = 2 + 4

-3x = 6

x = 6/-3

x = -2

but y = x + 2

substitute x = -2

y = -2 + 2, y = 0

In conclusion the solution of the system of linear equations is (-2, 0 )

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The calculated value of the rocket's greatest height is 196 feet

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

height function,  h(t) =-16t² + 80t + 96

So, we have

h(t) =-16t² + 80t + 96

The maximum value of t is calculated as

t = -b/2a

So, we have

t = -80/(2 * -16)

Evaluate

t = 2.5

The rocket's greatest height is at t = 2.5

So, we have

h(2.5) =-16(2.5)² + 80(2.5) + 96

Evaluate

h(2.5) = 196

Hence, the rocket's greatest height is 196 feet

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Julius's Schedule C gross profit is $72,000

($97,000 sales - $2,000 returns - $25,000 cost of goods sold = $70,000 gross profit).

income from trade or business after covering the costs of generating and disbursing goods and services: Selling scraps to textile businesses brings her a sizable profit.

A business's primary goal should be to earn a profit. Understanding where your business is producing money and where you are spending it can help you assess your level of success. Calculating your profit can also provide you this information.

Income less all costs. As an illustration, Sam's Bakery collected $900 yesterday, but its expenses, including salaries, food, and power, were $650. Profit was therefore $900 divided by $650 to equal $250.

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The domain of f(x) = 2x² + 2x + 4  is (-∞, ∞).  

A quadratic equation, or quadratics, is a polynomial equation with a maximum degree of two. It will be in the form of ax² + bx + c = 0.

When a quadratic function is represented in a graph on the x and y grid, It will represent a parabola. Either it will open upwards or downwards.

The domain of a parabola is the entire set of real numbers [ Without any restrictions ]

Here we have

Ethan uses the function, f(x) = 2x² + 2x + 4

As we know all quadratic functions are parabolas

And its domain is the set of real numbers

Therefore,

The domain of f(x) = 2x² + 2x + 4  is (-∞, ∞).

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Answer:

$ 7.2

Step-by-step explanation:

½ pound = $3.60

1 pound = x

just cross multiply.

½x = $ 3.60

0.5x = $ 3.60

x = $3.60/0.5

x = $7.2

Answer:

[tex]\huge\boxed{\sf \$ 7.20}[/tex]

Step-by-step explanation:

Given that,

1/2 pound of cheese = $3.60

Multiply 2 to both sides

1 pound of cheese = $3.60 × 2

[tex]\rule[225]{225}{2}[/tex]

In linear equation, Sofia will order 7 more rolls of sushi (84 pieces) and pay $56.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                  Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

They need at least 100 pieces of sushi

Sofia had ordered and paid for 24 pieces of sushi already

Sushi comes in rolls

Each roll=12 pieces at $8

R=additional rolls that Sofia orders

Additional sushi= Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

Each roll has 12 pieces

76/12=6.33

Sofia has to order in rolls

So, she will order 7 more rolls of sushi of 12 pieces each

12*7=84 pieces

Recall, that they needed at least 100 pieces, so the number of pieces could be more than 100

If Sofia orders 84 pieces + the already ordered 24 pieces

Total pieces=108 pieces

She has paid for 24 pieces (3 rolls) at $8 per roll

7 rolls=$8*7

=$56

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The statement that is proportion is 3/4 = 6/8

What is statement ?

Depending on the context, the term "statement" in logic can refer to either a proposition or a coherent declarative utterance that can be true or untrue. Which is the claim a true or untrue declarative phrase makes.

A sentence that asserts something to be true is called a statement.

In the fields of law, banking, and government, there are more types of statements. Every statement makes a claim or a point. If you see an accident, you have to tell the police what you observed in a statement.

A statement is a directive issued to the computer that tells it to carry out a specific task, like display something on the screen or gather input. A succession of assertions make up a computer program.

3/4 = 5/8

3:4 ≠ 5:8

3/4 = 4/8

3/4 = 1/2

3:4 ≠ 1:2

3/4 = 6/8

3/4 = 3/4

3:4 = 3:4

3/4 = 7/8

3:4  ≠ 7/8

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Therefore, the numerator of the given equation comes out to be 4x+6

A fraction denotes a component of a whole or, more generally, any number of equal parts. In conversational English, a fraction, such as one-half, eight-fifths, or three-quarters, denotes the quantity of a specific size of portions.

Given

[tex]\frac{x}{x^{2} +3x+2} + \frac{3}{x+1}[/tex]

A common denominator must exist for the fractions before we can add them.

Factor the denominator of the first fraction

[tex]\frac{x}{(x+1) (x+2)} + \frac{3}{x+1}[/tex]

Subtract (x + 2) from the second fraction's numerator and denominator.

[tex]\frac{x}{(x+1) (x+2)} + \frac{3(x+2)}{(x+2)(x+1)}[/tex]  ← Currently, fractions share a common denominator.

Add the numerators leaving the denominators

= [tex]\frac{(x+2)(x+3)}{(x+2)(x+1)}[/tex]  

= [tex]\frac{x^{2} +3x+6}{(x+2)(x+1)}[/tex]

=  [tex]\frac{4x+6}{(x+2)(x+1)}[/tex]

simplified sum with numerator 4x + 6

Therefore the numerator of the given equation comes out to be 4x+6.

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Figure D was reflected over the y axis and translated 4 units upwards to form figure E

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.

According to the given question:

On translating the figure D over y-axis, the figure E will be 4 units above.

Therefore,  Figure D was reflected over the y axis and translated 4 units upwards to form figure E.

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a) The equation for the volume of the cube after t hours is of: V(t) = (0.5t + 2)³.

b) The equation for the surface area of the cube after t hours is of: S(t) = 6(0.5t + 2)².

c) The surface area will be of 216 in² after 8 hours.

Considering a cube of side length s, the surface area and the volume are given as follows:

In this problem, the side length is a function of the time, as follows:

s(t) = 0.5t + 2.

Hence the equations are given as follows:

The surface area will be of 216 in³ when:

6(0.5t + 2)² = 216

(0.5t + 2)² = 216/6

(0.5t + 2)² = 36.

Taking the square root from both sides, the time is given as follows:

0.5t + 2 = 6

0.5t = 4

t = 4/0.5

t = 8 hours.

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The value of f(3) is 10.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Here, we have

Given function :

f(x) = 4x - 2

We have to find the value of f(3).

Now we put x = 3 and we get

f(3) = 4 × 3 - 2

f(3) = 12 - 2

f(3) = 10

Hence, the value of f(3) is 10.

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Answer:

the answer to this should be no solution

Step-by-step explanation:

the first step would be adding seven to both sides, but all that does is leave a zero on the other side, so the equation ends up being 9x=0.

The value of x in the expression is 0.

We have,

Expression: 9x - 7 = -7

To solve for x.

Add 7 on both sides.

9x - 7 + 7 = -7 + 7

9x = 0

x = 0

Thus,

The value of x in the expression is 0.

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The taxable income in marginal tax rates for 2016 is $44964.

What is marginal tax rate?

Gross income = $88000

Adjustments = $2000

Deductions interest = $27000

Property taxes = $4036

Charitable contribution = $2000

Taxable income = 88000 - (2000 + 27000 + 4036 + 2000)

= 88000 - 35036

= 44964

Hence, the taxable income in marginal tax rates for 2016 is $44964.

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Answer:

1/8

Step-by-step explanation:

9/72 = 1/8

Answer:125=n

Step-by-step explanation: 375 divided by 3 is 125

Answer:

$1,018.39

Step-by-step explanation:

Interest formula is I = Prt/100

where P = principal

r = interest rate (in percent)

t = number of time periods

Here we have P = 740

interest = 0.66% per day

t = 57 days

I = 740 x 0.66 x 57 /100 = 278.39 (rounded)

Total amount to pay back = 740 + 278.39 = $1,018.39