How do you determine the
solution to a system of equations
when graphing? Is it possible to
have more than 1 solution when
graphing? Is it possible to have no
solutions? How?

Answers

Answer 1

When graphing, the intersections of the graphs represent the solutions of the system.

How to determine the solutions of a system by graphing?

When graphing a system of equations, you just need to graph both equations in the same coordinate axis.

The solutions of the system are all the points where the graphs of the two equations intersect.

This means that if there is only one intersection, there is one solution.

But we can have more than one intersection, like in the case where at least one of the equations is a polynomial of degree 2 or more.

And there is also the case that the graphs never intersect, like in parallel lines, in these cases we have no solutions.

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Related Questions

A coin is flipped 15 times where each flip comes up either heads or tails. How many possible outcomes (a) contain exactly four tails (b) contain at least three heads?

Answers

Using the arrangements formula, it is found that:

a) There are 1365 possible outcomes that contain exactly four tails.

b) There are 1,307,674,399,889 possible outcomes that contain at least three heads.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

When there are repetitions, the number of ways is given as follows:

[tex]A_{n}^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]

In which [tex]n_1, n_2, \cdots, n_n[/tex] are the numbers of repetitions.

Item a:

11 heads and 4 tails, hence:

[tex]A_{15}^{11,4} = \frac{15!}{11!4!} = 1365[/tex]

There are 1365 possible outcomes that contain exactly four tails.

Item b:

The total number is:

[tex]A_{15} = 15! = 1,307,674,400,000[/tex]

With no heads:

[tex]A_{15}^{15,0} = \frac{15!}{15!0!} = 1[/tex]

With one head:

[tex]A_{15}^{14,1} = \frac{15!}{14!1!} = 15[/tex]

With two heads:

[tex]A_{15}^{13,2} = \frac{15!}{13!2!} = 95[/tex]

Hence the number of outcomes with less than three heads is:

1 + 15 + 95 = 111

With at least three heads, the number of outcomes is:

[tex]1,307,674,400,000 - 111 = 1,307,674,399,889[/tex]

There are 1,307,674,399,889 possible outcomes that contain at least three heads.

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6. If x is the largest of three consecutive integers, represent the sum of the three integers.

a) If x is the largest of three consecutive integers, how do we represent the three integers?

b) How do we convert this information into a solvable equation?

c) Find the sum

Answers

Answer:

See below

Step-by-step explanation:

x = largest

x-1   previous

x -2  smallest

sum =   x   +    x-1      +   x-2

sum = 3x -3    

Maria and Franco are mixing sports drinks for a track meet.
Maria uses cup of powdered mix for every 2 gallons of water. Franco uses
1 cups of powdered mix for every 5 gallons of water. Whose sports drink is
stronger? Explain how you found your answer

Answers

Answer:Maria

Step-by-step explanation: Maria uses a cup per 2 gallons while Franco uses a cup for 5 gallons. Maria has a 1:16 ratio while Franco has a ratio of 1: 80 because a gallon is 16 cups. It is clear now that Franco has a smaller ratio so, Maria's sports drink is stronger.

jaquan washes cars for his neighbors on the weekends. Jaquan uses the same amount of water for each car he washes. the point on the following coordinate plane show how much water jaquan uses for 2,5, and 8. How much water does Jaquan use for 6 cars?


help me plsss

Answers

The amount of water for washing x cars is y = 12x, and 72 gallons would be needed to wash 6 cars.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form of a linear equation is given as:

y = mx + b

Where m is the rate of change and b is the y intercept (initial value of y)

Let y represent the amount of water Jaquan uses to wash x cars, Using the point (2, 24) and (5, 60):

y - 24 = [(60 - 24)/(5- 2)](x - 2)

y = 12x

For 6 cars:

y = 12(6) = 72

The amount of water for washing x cars is y = 12x, and 72 gallons would be needed to wash 6 cars.

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Answer: Jaquan uses 72 L to wash 6 cars

Step-by-step explanation:


A triangle has side lengths of (2b + 5c) centimeters, (10b + 7d) centimeters, and
(4d-3c) centimeters. Which expression represents the perimeter, in centimeters,
of the triangle?

Answers

The perimeter of the triangle can be express as follows:

12b + 11d + 2c

How to find perimeter of a triangle?

The perimeter of a figure is the sum of the whole sides of the figure.

A triangle has three sides. Therefore, the perimeter of a triangle is the sum of the three sides.

Therefore, the sides of the triangle are of lengths (2b + 5c) centimetres, (10b + 7d) centimetres, and (4d-3c) centimetres.

Hence, the perimeter of the triangle can be represented as follows:

Perimeter of the triangle = 2b + 5c + 10b + 7d + 4d - 3c

Perimeter of the triangle = 2b + 10b + 7d + 4d + 5c - 3c

Perimeter of the triangle = 12b + 11d + 2c

Therefore, the perimeter of the triangle can be express as follows:

12b + 11d + 2c

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The local gym is offering this new promotion: An enrollment fee of $40 and a monthly fee of $30. Which of the following expressions represents the cost of the gym membership for m months?

40+30m=c40 plus 30 m is equal to c

30+40m=c30 plus 40 m is equal to c

40+30m40 plus 30 m

30+40m

Answers

40+30m=c
This is because you pay 40 at the start and then 30 per month

The expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The local gym is offering this new promotion:

An enrollment fee of $40 and a monthly fee of $30.

Let m be the total number of months

Total monthly fee = 30m

Total cost(including the enrollment fee of $40) = 40 + 30m

Let the total cost is c:

c = 40 + 30m

If in the linear expression, one variable is present, then the bis known as the linear expression in one variable.

Thus, the expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.

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Assume you took $5,000 out of the bank to purchase a car worth $5,000. How much did you net worth change?

Answers

Your net worth change by zero dollars.

What is net worth?

Net worth is the difference between asset and liability.  

In other words net worth is the sum of all assets owned by a person or a company, minus any obligations or liabilities.

Therefore, since he took $5,000 out of the bank to purchase a car worth $5,000 his net worth will change by zero dollars.

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The points (2,5) , (3,3) and (k,1) all lie on a straight line
(a) find the value of k
(b) find the equation of the line

Answers

Answer:

(a) k = 4
(b) y = - 2x + 9

Step-by-step explanation:

x2-x1, y2-y1  
= 3-2, 3-5

= 1,-2
3,3 + 1,-2 = (4,1)

x=4

g(a) = 4a + 5
f(a) = a² + 2a
Find: g(f(a))

Answers

Step-by-step explanation:

g(f(a))=4(a²+2a) + 5

= 4a²+8a+5

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.8 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median recovery time? days c. What is the Z-score for a patient that took 4 days to recover? d. What is the probability of spending more than 3.8 days in recovery? e. What is the probability of spending between 3.2 and 4.2 days in recovery? f. The 90th percentile for recovery times is days.

Answers

Using the normal distribution, we have that the desired information is given as follows:

a) X ~ N(3,1.8).

b) 3 days.

c) Z = 0.5556.

d) 0.33 = 33%.

e) 0.2048 = 20.48%.

f) 5.3 days.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 3, \sigma = 1.8[/tex]

Hence the distribution is X ~ N(3,1.8), and, as is standard in the normal distribution, the median is the same as the mean, which is of 3 days.

The Z-score for a patient that took 4 days to recover is Z when X = 4, hence:

Z = (4 - 3)/1.8 = 0.5556.

The probability of spending more than 3.8 days in recovery is one subtracted by the p-value of Z when X = 3.8, hence:

Z = (3.8 - 3)/1.8 = 0.44.

Z = 0.44 has a p-value of 0.67.

1 - 0.67 = 0.33.

The probability is of 0.33 = 33%.

The probability of spending between 3.2 and 4.2 days in recovery is the p-value of Z when X = 4.2 subtracted by the p-value of Z when X = 3.2, hence:

X = 4.2:

Z = (4.2 - 3)/1.8

Z = 0.67.

Z = 0.67 has a p-value of 0.7486.

X = 3.2:

Z = (3.2 - 3)/1.8

Z = 0.11.

Z = 0.11 has a p-value of 0.5438.

0.7486 - 0.5438 = 0.2048 = 20.48%.

The 90th percentile is X when Z = 1.28, hence:

1.28 = (X - 3)/1.8

X - 3 = 1.8 x 1.28

X = 5.3 days.

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What is the shape of the cross section taken parallel to the base of a cylinder? circle rectangle triangle ellipse

Answers

The option A is correct. A circle is the shape of the cross section taken parallel to the base of a cylinder.

According to the statement

We have given that the cylinder and we have to tell that the which shape required for the cross section taken parallel to the base of a cylinder.

So, For this purpose,

We know that the

A cylinder is a three-dimensional solid, one of the most basic geometric shapes.

In this shape the surface formed by the points at a fixed distance from a  line segment, which is  known as the axis of the cylinder.

As the bases of cylinder are two identical circles which are parallel to the curved surface.

The curved surface when we open will be circle rather than the circle.

So, Due to this reason the answer is a circle.

Therefore, a circle is the shape of the cross section taken parallel to the base of a cylinder.

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The length and breadth of a rectangular park 25m and 12m. find the distance covered by a boy who takes 4 rounds of the garderean. also find its a

Answers

Answer:296 m

I’m assuming “breadth” is width and garderean is just the park.

(25+25+12+12) times 4.

A is never defined

Consider the word pencil. if all of the letters are used, and the first letter can’t be n or l, how many ways can the letters be arranged?

Answers

480 Ways can the letters be arranged.

What is the meaning of probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

First letter can't be n or l

=   4! × [tex]5P_{3}[/tex]

=    24 × 5! /3!

=     24 × 5 × 4

=         480

Therefore, 480 ways can the letters be arranged.

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Answer: 480 ways

Step-by-step explanation:

Evaluate the following expression. "5 less than 15"
A. -10
B. 8
C. 20
D. 10

Answers

Answer: 10

Step-by-step explanation: 5 less than 15 is 10 because 15 - 5 is 10. If it was 15 less from 5, only then it would be -10.

Answer:

5 less than 15 is Option D, 10. This is because using mathematical symbols, it says 15-5 which equals to 10.

PLEASE ASAP - Drag each tile to the correct box. Arrange the figures from least to greatest according to their volumes. Assume the variable h has the same value for each figure.

Answers

Assuming that the variable h is the same for each figure, the figures from the least to the greatest is:

Cone with radius of 3 units Cylinder with radius of 3 units Cone with radius of 6 units Cylinder with radius of 6 units

What are the volumes of these shapes?

The value of h is the same for all the shape so assume the value of h is 2 units.

The volume of a cylinder is:

= πr²h

First cylinder area:

= 22/7 x 3 x 2

= 56.54867 units

The second cylinder area:

= 22/7 x 6 x 2

= 226.19467 units

The volume of a cone is:

= πr²h/3

First cone volume:

= 22/7 x 3 x 2/3

= 18.84956 units

Second cone volume:

= 22/7 x 6 x 2/3

= 75.39822 units

The order is therefore:

Cone with radius of 3 units < Cylinder with radius of 3 units < Cone with radius of 6 units < Cylinder with radius of 6 units

In conclusion, the shapes with the larger radius of 6 units will have more volume.

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Find the ratio of 4:25​

Answers

4:25
16:100
1: 6.25

Answer: 1: 6.25

Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if necessary.

Answers

The volume of the cone is  84.9 km³

How to find the volume of a cone?

Volume of a cone = 1 / 3 πr²h

where

h = heightr = radius

Therefore,

radius = 3 km

height = √9.5² - 3²

height = √81.25

height = 9.01387818866

height = 9.014 km

Volume of a cone = 1 / 3 × 3.14 × 3² × 9.014

volume of the cone = 254.732197612 / 3

volume of the cone = 84.9107325372

volume of the cone = 84.9 km³

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Which choice is equivalent to the expression below?
5x√2-3√2+x√2

Answers

Answer:

You did not list any choices but if you simplify that the answer is 6√2x-3√2

Step-by-step explanation:

If they want you to factor it instead of simplifying the answer is 3√2(2x-1)

Answer:

[tex]6x\sqrt{2} - 3\sqrt{2}[/tex]

Step-by-step explanation:

So you haven't provided any options, but I'm assuming they want it in most simplified form.

To do this, we simply combine like terms, and in this case you can see the [tex]\sqrt{2}[/tex] as a variable, if it makes it easier to think about why we can combine terms. So just like how we can do: [tex]2y + y = 3y[/tex] we can do the same thing here, since sqrt(2) constant and it's in each expression.

So if it makes a bit easier to represent, I'll rewrite the equation such that sqrt(2) = y

[tex]5xy-3y+xy[/tex]

So in here, think of y as the variable and the 5x, -3, and x as the coefficients.

In doing this we can combine the terms by adding them, since they all have the same "variable" (sqrt(2))

[tex](5x-3+x)y[/tex]

Simplify this expression to get

[tex](6x-3)y[/tex]

Now just plug the sqrt(2) back in as y and you get the expression

[tex](6x-3)\sqrt{2}[/tex]

Since we can't combine the 6x and -3 in any way, we we can just distribute this back into the sqrt(2)

[tex]6x\sqrt{2} - 3\sqrt{2}[/tex]

Hank is currently reading a book that is 250 pages long. if he can read 10 pages every 15 minutes, how many hours will it take him to read the book?

Answers

Answer:

The answer is B, 2.78 hours

Step-by-step explanation:

Answer:

  6 hours 15 minutes, or 6.25 hours

Step-by-step explanation:

We assume Hank reads at a constant rate. His reading time will be proportional to the number of pages.

Proportion

We know that 15 minutes is 1/4 hour, so the proportion can be written ...

  hours/pages = (book hours)/(250 pages) = (1/4 hour)/(10 pages)

Multiplying by 250 pages gives ...

  book hours = 250(1/4 hour)/10 = 25/4 hour = 6 1/4 hour

It will take Hank 6 1/4 hours to read the book.

Please please please help

Answers

Answer:r=14°

Step-by-step explanation:

(5r-5)°+ (8r+3)°=180

(Sum of angles on a straight line =180°)

Collect like terms

5r+8r-5+3=180

13r-2=180

13r=180+2

13r=182

r=182/13

r=14°

Find the circumference of a circle with radius of 4.2in.

Answers

Answer: 26.39

Step-by-step explanation:

2xπxr

Circumference of circle is two pie r
2 into 22/7into 4.2
2 into 22 into 0.6
26.4 is the circumference of circle

At a furniture manufacturer, worker a can assemble a shelving unit in 5 hours. worker b can assemble the same shelving unit in 3 hours. which equation can be used to find t, the time in hours it takes for worker a and worker b to assemble a shelving unit together? rate (shelving units per hour) time (hours) fraction completed worker a one-fifth t worker b one-third t 5 t 3 t = 1 one-fifth t minus one-third t = 1 one-fifth t one-third t = 1 5 t minus 3 5 = 1

Answers

If they work together, they need 15/8 hours to assemble one shelving unit.

What does work mean in math?

In summary, work is done when a force acts upon an object to cause a displacement. Three quantities must be known in order to calculate the amount of work. Those three quantities are force, displacement and the angle between the force and the displacement.

According to tittle, we know worker A can  assemble a shelving unit in 5 hours , which means worker A can finish 1/5 of work in 1 hour . And worker B can finish 1/3 of work in 1 hour.

If A & B work together , they will spend the same time t to assemble only one shelving .

That means,                  1/5t + 1/3 t = 1                         (equation)

1/5 t is worker A's workload during time t , 1/3 t is worker B workload.

So,   1/5 t + 1/3t = 1  is the answer

     ⇒ 5t + 3t = 15

     ⇒ t = 15/8 hours

If they work together, they need 15/8 hours to assemble one shelving unit.

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Answer:

Letter C is the correct answer or  1/5 t + 1/3t = 1

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?

The triangle is a right triangle because 52 + 122 = 132.
The triangle is a right triangle because 5 + 13 > 12.
The triangle is not a right triangle because 52 + 132 > 122.
The triangle is not a right triangle because 5 + 12 > 13.
9

Answers

Answer:

the triangle is a right angle triangle. I can't see the correct explanation here so I will explain

Step-by-step explanation:

to work out whether triangles are right angle you do :

square root of (5² + 12²) so it would be 25 + 144 =169 and the square root of 169 is 13 . we do this because the square root of both of the side lengths squares should make ths longer side in this case it makes 13 so it is a right angled triangled

i hope this helps . if you need any more help pls ask :)

PLEASE HELP ME SOLVE THE QUESTION BELOW

Ann and Tom want to establish a fund for their​ grandson's college education. What lump sum must they deposit at 12 ​% annual interest​ rate, compounded quarterly ​, in order to have ​20,000$ in the fund at the end of 10 ​years?

Answers

For Ann and Tom to have ​$20,000 at the end of 10 ​years, they must deposit a sum of $6,131.14.

What is the principal?

To calculate the sum of money they must deposit, use the compound interest formula.

From the compound interest formula;

P = A / ( 1 + r/n )^(nt)

Given that;

Final amount A = 20,000Interest rate r = 12% = 12/100 = 0.12Compound n = quarterly = 4Time t = 10 yearsPrincipal P = ?

P = A / ( 1 + r/n )^(nt)

P = 20,000 / ( 1 + 0.12/4 )^(4×10)

P = 20,000 / ( 1.03)^40

P = 20,000 / 3.26203779

P = $6,131.14

Therefore, for Ann and Tom to have ​$20,000 at the end of 10 ​years, they must deposit a sum of $6,131.14.

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Help me please! I’ll make you a brainlest show you work!!

Answers

The solution to the following mathematical problems are;

5² -3⁴ / (2³-5)(6² ÷ 9) = - 14/320² ÷ {3(5-9)² + 2} = 884/12 + (5-7)² -72 ÷ 6×2 = -13

Evaluation

Solve using

BODMAS

B - bracketO - offD - division M - MultiplicationA - additionS - Subtraction

5² -3⁴ / (2³-5)(6² ÷ 9)

= 25-81 / (8-5)(36÷9)

= -56 / (3)(4)

= -56/12

= - 14/3

20² ÷ {3(5-9)² + 2}

= 400 ÷ {3(-4)² + 2}

= 400 ÷ {3(16) + 2}

= 400 ÷ (48+3)

= 400 ÷ 50

= 8

84/12 + (5-7)² -72 ÷ 6×2

= 7 + (-2)² - 12 × 2

= 7 + (4) - 24

= 11 - 24

= -13

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A function is shown: f(x) = 36x² - 1.
Choose the equivalent function that best shows the x-intercepts on the graph

Answers

Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

What are equivalent functions?

Equivalent functions are different functions that have equal values when evaluated and compared

How to determin the equivalent function that best shows the x-intercepts on the graph?

The function is given as:

f(x) = 36x^2 - 1

Express 1 as 1^2

f(x) = 36x^2 - 1^2

Express 36x^2 as (6x)^2

f(x) = (6x)^2 - 1^2

Apply the difference of two squares.

This is represented as:

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

So, we have the following equation

f(x) = (6x - 1)(6x + 1)

Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

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Please help me with alg 2 question!

Answers

Answer:

J

Step-by-step explanation:

Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Answers

X=6 (work shown in picture)

Find x. A. 4–√6 B. 16√6/3 C. 4√6/3 D. 32√3/3

Answers

Answer:

Step-by-step explanation:

12

If the maximum payment of $5,000 is made into a individual retirement account (ira) for 25 years at an annual interest rate of 3.2%, determine the amount in the account.round to the nearest cent. a. $187,159.62 b. $193,148.73 c. $129,082.99 d. $129,427.21

Answers

The amount in the ira's account s = $187,159.62.

How do you interest rate?

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned. The interest rate on a loan is typically noted on an annual basis known as the annual percentage rate (APR).

Future Value of an Ordinary Annuity

[tex]s = R(( 1 + i)^{n} - 1 ) / i[/tex]

where

S = the future value;

R = the periodic payment;

i = the interest rate per period;

n = the number of periods.

[tex]s = 5000 ( 1 + 0.032)^{25} - 1)/ 0.032[/tex]

[tex]s = 5000((1.032)^{25} - 1 )/0.032[/tex]

[tex]s = 5000( 2.19782157471 - 1)/0.032[/tex]

[tex]s = 5000(1.19782157471)/0.032[/tex]

[tex]s = 5000 * 37.4319242096[/tex]

s = $187,159.62

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Why do you not need to perform the titration while the sample is at its original temperature? In all aldehydes except formaldehyde, the carbonyl group is bonded to how many hydrogen atoms? ________ occurs when we acquire information without expending effort and that we cannot easily express Determine the domain:[tex]f(x) = \frac{ln(ln(x + 1))}{e {}^{x} - 9 } [/tex] 18 PTS!! What is the 400th term of the sequence below when using the explicit formula a=a+(n-1)d?79, 82, 85, 88,...A. 1273B. 1279C. 1276D. 1282 A fisherman and his young son are in a boat on a small pond. Both are wearing life jackets. The son is holding a large helium filled balloon by a string, holding a significant part of his weight. Consider each action below independently and indicate whether the level of the water in the pond, Rises, Falls, is Unchanged or Cannot tell. The son pops the helium balloon. The fisherman knocks the tackle box overboard and it sinks to the bottom. The son finds a cup and bails some water out of the bottom of the boat The fisherman lowers himself in the water and floats on his back. The fisherman lowers the anchor and it hangs one foot above the bottom of the pond. (the anchor is initially inside the boat)The son gets in the water, looses his grip on the string, letting the balloon escape upwards. A newspaper ad for a restaurant falls under the category of ________ advertising. there _____(be)two flights to arbaminch this afternoon.the Ethiopian airlines flight _______(leave) at 1:00 pm and ______(arrive) at 2:00pm. What feature of torii kiyotadas an actor of the ichikawa clan suggests swift and violent motion? In how many ways can you select five people from a group of ten if the order of selection is important? 1. Please reflect on how the money multiplier concept can be an important tool of both expansionary as well as contractionary monetary policy for any central bank such as the U.S. Federal Reserve Bank?2. The Federal Reserve Bank lowered the required reserve ratio to 0% across the board in 2020. Explain the potential reasoning behind this lowering to 0% and its intended effect on the economy. 5. Mr. Griffin asked the students to form the number eighty-four million, fivehundred thirty thousand, two hundred sixteen. Ben still had the number cardwith the 3. In what place was Ben standing? Show your work in the spacebelow. Remember to check your solution When a leader creates structure, she has explicitly identified goals for the team.a. true b. false What is the likely reason for the persistence of so many myths about the use of public welfare programs like tanf and snap? Joseph paid $105,000 for his home twenty years ago. since then, his house has increased its property value by 2.0% every year. in addition, joseph has made renovations and improvements to the house which will increase its sale value by $28,700. if joseph sells his home, how much profit will he make, to the nearest hundred dollars? a. $79,700 b. $84,700 c. $93,700 d. $122,400 Which line from the text explains why americans were surprised at the japanese attacks? the united states was at peace with that nation and, at the solicitation of japan, was still in conversation with its government the japanese ambassador to the united states and his colleague delivered to the secretary of state a formal reply to a recent american message. the people of the united states have already formed their opinions and well understand the implications. there is no blinking at the fact that our people, our territory and our interests are in grave danger. A company reduced the prices of its goals by 13% during a promotional sale. A product was sold for 435.00 during the promotional sales. What was the price before the promotional sales? A woman who gave birth to an infant 3 days ago has developed a uterine infection. She will be on antibiotics for 2 weeks. What is the priority education for this client Which is one reason that sociologist cite to explain why men and women are delaying? Which of the following was not a term used to describe a manager by the government employees participating in arecent survey? resentfuldictator failureeffective