Write this number in standard form.
2.52 x 10^-6

Answer: AAS

Step-by-step explanation:

Two sides are congruent, two angles are congruent, and vertical angles are congruent

The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

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

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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Answer:

7/10

Step-by-step explanation:

Answer:

\(t=4820 y\)

Step-by-step explanation:

a) The half-life equation is given by:

\(t_{1/2}=\frac{ln(2)}{k}\)

b) Using the decay equation we have:

\(Q(t)=15e^{-0.0001438t}\)

we need to find t when \(Q(t)=\frac{Q_{0}}{2}\)

\(7.5=15e^{-0.0001438t}\)

\(0.5=e^{-0.0001438t}\)

\(ln(0.5)=-0.0001438t\)

\(t=\frac{ln(0.5)}{-0.0001438}\)

\(t=4820 y\)

Therefore, it will take 4820 years to decay to half the original amount.

I hope it helps you!

You can split up the length of AE into the lengths of the line segments connecting adjacent points:

AE = AB + BC + CD + DE

Plug in everything you know and solve for DE :

9 = (2 1/2) + (4 1/3) + (1 2/3) + DE

Rewrite the mixed numbers as improper fractions with a common denominator.

2 1/2 = 4/2 + 1/2 = 5/2 = 15/6

4 1/3 = 12/3 + 1/3 = 13/3 = 26/6

1 2/3 = 3/3 + 2/3 = 5/3 = 10/6

9 = 54/6

So we have

54/6 = 15/6 + 26/6 + 10/6 + DE

⇒   DE = (54 - 15 - 26 - 10)/6 = 3/6 = 1/2

(It looks as though you will need to enter 1 in the top box and 2 in the bottom one)

Answer: $521.50

Step-by-step explanation:

58 hours worked

40 hours regular x $7.45 = $298

6 hours holiday  x $7.45 x 2 = $89.40

58 - 46 = 12 hours overtime x $7.45 x 1.5 = $134.10

$298 + $89.40 + $134.10 = $521.50

Answer:

b = 23

Step-by-step explanation:

46/b = 2

Multiply both sides by b.

46 = 2b

Divide both sides by 2.

b = 23.

Proof:

46/b = 2

Substitute value.

46/23 = 2

Divide.

2 = 2.

Answer:

23

Step-by-step explanation:

At t = 0 the height is not zero because the cannonball is at the end of the barrell of the cannon.

If we define H as the maximum height and T as the time when the cannonball hits the ground, the domain and range are:

domain: [0, T]

range: [0, H]

The height is modeled by the graphed parabola.

The height equal to zero would mean that the cannonball is on the ground. Now, at t = 0 we assume that the cannonball is leaving the barrel of the cannon (which is at some given height above the ground). This is why at t = 0 the height of the cannonball is not equal to 0.

Now we also want to describe the domain and range of the graphed function. The domain is the set of the inputs of the function, we can see that it goes from t = 0, when the cannonball is shooted, to a given time T which is when the cannonball reaches the ground.

For the range (the set of the outputs) we can see that it will go from 0 (the ground) to the maximum value that we can see in the graph, a height H.

So, domain: [0, T]

      range: [0, H]

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For the function f( x) = 3x- 2 and g( x) = x2, the workout fg( x) is 3x2- 2.

What is 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 inclusively appertained to as the function's sphere and codomain, independently. originally, functions represented the idealized relationship between two changing amounts.

A formula, rule, or legislation that specifies how one variable( the independent variable) and another variable are related( the dependent variable).

Four orders of functions live functions with return values and arguments.

This function accepts arguments and gives back a result.

functions that take arguments but have no return values.

functions with return values and no arguments.

functions that have no arguments or return values.

we are given two function f( x) and g( x);

f( x) = 3x- 2 and

g( x) = x2

So, for fg( x), we've to put value of g( x) into f( x);

Hence, the equation will be;

fg( x) = 3x2- 2.

thus, for the function f( x) = 3x- 2 and g( x) = x2, the fg( x) is 3x2- 2.

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Answer:

Step-by-step explanation:

The center is the midpoint of the diameter, the coordinates are:

The length of the diameter:

The radius is:

The standard form is:

Substitute to get:

The graph of the function −2x + 3y = 12 is plotted and attached.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following equation of line -

−2x + 3y = 12

Given is -

−2x + 3y = 12

3y = 2x + 12

y = (2/3)x + 4

The slope of the line would be 2/3 and the [y] intercept would be 4.

Refer to the graph attached.

Therefore, the graph of the function −2x + 3y = 12 is plotted and attached.

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Answer:

its b

Step-by-step explanation:

Answer:

See the image for marked congruences.

1. JM ≅ LM                           |      Given

2. △JML is isosceles          |      definition of isosceles

3. ∠MJL ≅ ∠MLJ                  |       isosceles triangle theorem

4. m∠MJL = m∠MLJ             |      definition of ≅

5. JK ≅ LK                            |      Given

6. △JKL is isosceles           |      definition of isosceles

7. m∠KJL = m∠KLJ              |       isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL                         |  adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ                         |  adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM      |   transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM      |   substitution

12. m∠KJM = m∠KMJ          |        subtraction

13. ∠KJM ≅ ∠KLM                |        definition of ≅

14. △KJM ≅ △KLM             |        SAS theorem

15. ∠JKM ≅ ∠LKM                |        CPCTC

16. KM bisects ∠JKL            |        definition of bisector

Answer:

7+3 * 8

Step-by-step explanation:

It is 7+3*8 because if your going to check your work you can add 7 + 3 8s just to check it and you should get 31  

To factor an expression using GCF we need to first factorate the numbers. We have:

We now need to take the factors that repeat. We have "2" repeating twice and "3" repeating once. So we have:

GCF= 2*2*3=12

We now divide both numbers by the GCF, we have:

We can represent the expression as the product of the GCF with the divisions above.

The total number of students(boys and girls) in Ms. Cunningham’s class are 30.

Number of girls in the class =18

The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3

i.e. Ratio of boys and girls =2:3

Boys  : Girls  = 2 : 3    

B/G  = 2/3  -------1.

B/18 = 2/3

B = (18 x 2)/3

Boys =  12

Number of boys in the class = 12

Boy = 2x

12 = 2x

x = 12/2 = 6

number of girls in the class is 3x

3 x 6 = 18

Therefore, total number of students =12+18=30

The total number of students(boys and girls) in Ms. Cunningham’s class are 30.

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Answer:

-1 = x

Step-by-step explanation:

-7x - 4 = 10 + 7x

+7x             + 7x

-4 = 10 + 14x

-10   -10

-14 = 14x

-1 = x

Answer:

(3p + 5)^2

Step-by-step explanation:

9p^2 + 30p + 25

9p^2 is the square of 3p = a

25 is the square of 5 = b

This may be the square of a binomial.

We need to check the middle term.

(a + b)^2 = a^2 + 2ab + b^2

2ab = 2(3p)(5) = 30p

This is the square of a binomial.

9p^2 + 30p + 25 = (3p + 5)^2

Answer:4

Step-by-step explanation:

Answer:

cos(300)

Step-by-step explanation:

you must use the identity:

cos(a+b)=cos a cos b - sin a sin b

In this case a=140 and b=540. Hence, the answer is

cos(140+520)

or

cos(660)

However,   it's about a round and a half to the circle,

hence, 660 is the same as 660-360=300.

Finally, the answer is cos(300)

To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

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Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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Complex number is in the form a +bi

As given in the question, a = 7  b = 0

therefore, the answer is 7 + 0i

The complex number is basically the combination of a real number and an imaginary number. The complex number is in the form of a + ib, where a = real number and ib = imaginary number. Also, a , b belongs to real numbers and i = √-1.

Hence, a complex number is a simple representation of addition of two numbers, i.e., real number and an imaginary number. One part of it is An equation of the form z= a+ib, where a and b are real numbers, is defined to be a complex number. The real part is denoted by Re z = a and the imaginary part is denoted by Im z = ib.

             Z = a + bi purely real and the other part is purely imaginary.

Any number which is present in a number system such as positive, negative, zero, integer, rational, irrational, fractions, etc. are real numbers. It is represented as Re(). For example: 12, -45, 0, 1/7, 2.8, √5, etc., are all real numbers.

The numbers which are not real are imaginary numbers. When we square an imaginary number, it gives a negative result. It is represented as Im(). Example: √-2, √-7, √-11 are all imaginary numbers.

For Example:

The complex numbers were introduced to solve the equation x2+1 = 0. The roots of the equation are of form x = ±√-1 and no real roots exist. Thus, with the introduction of complex numbers, we have Imaginary roots.

We denote √-1 with the symbol ‘i’, which denotes Iota (Imaginary number).

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Answer: Y = 6  1/2

Step-by-step explanation: Let's begin,

step 1) Isolate the variable by dividing each side by factors that don't contain the variable.

Then, Exact Form:

y = 13/2

Decimal Form:

y = 6.5

Mixed Number Form:

y = 6  1/2

Answer:

Step-by-step explanation:

Percentages can be confusing. All you need from the graph is one number. You can ignore everything else.

What you need is the Marketing %. If you read the graph, it is 36%. All you need to do is take 36% of 15 million.

36% as a fraction is 36/100

Marketing share = 36/100 * 15000000

Marketing share = 5,400,000

Answer:

A

Step-by-step explanation:

To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:

7x - 3(x-6) = 30

7x - 3x + 18 = 30

4x + 18 = 30

Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:

4x + 18 - 18 = 30 - 18

4x = 12

Finally, we can solve for x by dividing both sides by 4:

4x/4 = 12/4

x = 3

Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.

Answer:

-4+(-4.6)

Step-by-step explanation:

Answer:

The Answer Is A.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

$350.00

Step-by-step explanation:

80 + 6(45) = ?