Mrs Fernandez has a total of 156 red and blue roses. After selling the same number of red and blue roses, she had 1/3 of the number of red roses and 2/9 the number of blue roses left.How many red roses did she have at first?

Answer:

Answer:

$4,887.70

Step-by-step explanation:

.08 * 47,854 = 3,828.40

2354*.45 = 1059.3

1059.3+3828.4= 4887.70

Answer:

(x−2)2+(y+1)2=100

Explanation:

the standard form of the equation of a circle is  

2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2  where  ( a , b )  are the coordinates of the center and r is  the radius  to find the center we require the  midpoint of the  2 given points  center  = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ]  center = ( 2 , − 1 )  the radius is the distance from the center to either of  the 2 given points  calculate the radius using the  distance formula ∙  d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2  let  ( x 1 , y 1) = ( 2 , -1 )  and  ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ←  equation of circle

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Answer: x = 4 and y = -3

Step-by-step explanation:

2x + 4y = -4

2x = -4 - 4y

x = -2 - 2y

Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.

3(-2 -2y) + 5y = -3

-6 - 6y + 5y = -3

-y = 3

y = -3

Now that we know y, we plug it into the original equation and solve for x.

2x + 4(-3) = -4

2x + -12 = -4

2x = 8

x = 4

You can check the answer by plugging both x and y into either of the original equations.

The total cost of repayment over 5 years is $23,300.

A loan repayment refers to the act of paying back money previously borrowed from a lender.

To get total cost of repayment, we must principal amount, the interest rate and the duration of the loan.

The formula to get total cost of repayment is given by \(Total Cost of Repayment = Principal + Interest\)

Interest = Principal * Interest Rate * Time

Given:

Principal amount is $20,000

Interest rate is 3.3%

Duration is 5 years.

Interest = $20,000 * 0.033 * 5

Interest = $3,300

Total Cost of Repayment = Principal + Interest

= $20,000 + $3,300

= $23,300.

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The sum of the probabilities of all values of x must be equal to 1, as this is the total probability of all possible outcomes.

The probability distribution of a discrete random variable x is a mathematical function that provides the probabilities of occurrence of different possible outcomes of x. In probability theory, the sum of the probabilities of all values of x must be equal to 1, since this is the total probability of all possible outcomes. This is because the value of 1 represents the certainty of the event occurring, and if the sum of the probabilities of all the possible outcomes is not equal to 1, the probability of any individual outcome cannot be known. The sum of the probabilities of all values of x must be equal to 1 or it cannot be used to calculate the probability of any individual outcome. The probability of any individual outcome is determined by multiplying the probability of each outcome by the sum of all probabilities.

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Answer:

t=2

Step-by-step explanation:

Answer:

t=2

Step-by-step explanation:

t=6-4

t=2

Answer:

3. (5, -4)  4. Maximum, (5, -4). 5. Domain: -∞, ∞. Range: -∞, -4

Step-by-step explanation:

The product of the given expressions 1/2x-1/4 and 5x²-2x+6 is as follows: 5/2x³ - x² + 4x - 11/4

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

For instance, the mathematical equation for "4 added to 2" will be 2+4.

So, we have the expressions:

1/2x-1/4 and 5x²-2x+6

Now, find their product as follows:

(1/2x-1/4)(5x²-2x+6)

5x²(1/2x-1/4)-2x(1/2x-1/4)+6(1/2x-1/4)

5/2x³ - 5/4 - x² + x + 3x - 3/2

5/2x³ - x² + 4x - 11/4

Therefore, the product of the given expressions 1/2x-1/4 and 5x²-2x+6 is as follows: 5/2x³ - x² + 4x - 11/4

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Correct question:

What is the product of 1/2x-1/4 and 5x^2-2x+6? write your answer in standard form. Show your work.

The *n will have exactly three distinct elements for 5 distinct integers .

In the question ,

it is given that ,

the set *n is =  {n - 2, n + 2, 2n, n/2} ,

we have to find that for how many distinct integers does *n will have exactly three distinct elements .

we know that *n will have exactly three  distinct elements if exactly 2 of the elements of {n - 2, n + 2, 2n, n/2} are same .

Solving the two equations one by one ,

we get ,

If n-2 = n+2 ;

n - n = 2 + 2

0 = 4 , So , No Solution .

if n - 2 = 2*n

2n - n = -2

So ,n = -2

if n - 2 = n/2 ,

2(n - 2) = n

2n - 4 = n

2n - n = 4

So , n = 4

If n+2 = 2n ,

2n - n = 2 , So , n = 2 .

if n + 2 = n/2 ,

then n = -4 .

If 2n = n/2 ,

then n = 0,

So , the integers are -4 , -2 , 0 , 2 , 4 .

Therefore , there will be 5 distinct integers .

The given question is incomplete , the complete question is

Suppose that *n = {n - 2, n + 2, 2n, n/2}. For example, *6 = {3,4,8,12}.  for how many distinct integers does *n have exactly three distinct elements ?

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Answer:

Wooden popsicles, Tissues.,glassbottles, juice cans, paper cups

\( \underline{ \boxed{ \sf{✰\: Option\:D. \:81✓ }}}\)

Refer to the attachment for solution ☘️

Hope it helps

Answer:

1:  12x + 8                  

2:  21y  - 3

3:  15p + 20r

Step-by-step explanation:

Thus, the percentage of adult american men that are obese for the given data of normal distribution is  97.72%.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically towards either extreme. The distribution's mean is another name for the centre of the range.

The given data:

Find the z score value:

z = (x -  μ) / σ

z = (210 - 170)/20

z = 40/20

z = 2

Now, obtain the p-value from the positive  z score table ,online: for z = 2.

P(x > 210) = 0.9772

P(x > 210) = 97.72%

Thus, the percentage of adult american men that are obese for the given data of normal distribution is  97.72%.

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Answer:

x=8 and QNR= 63°

Step-by-step explanation:

90+8x-1+27=180

116+8x=180

8x=64

x=8

Answer:

8, m<QNR=63 degrees

Step-by-step explanation:

So, lets go over what we know:

The angle that makes up (8x-1) and 27 degrees is a right angle.

A right angle is 90 degrees.

So, to solve for angle m<QNR and for x, we must subtract and solve using 27 degrees, and (8x-1).

Lets put this into equation form:

(8x-1)+27=90

Lets subtract 27 from both sides to get the (8x-1) alone:

(8x-1)=63.

So lets stop here real quick.

We need to find angle M<QNR. This is (8x-1)

So looking at what we have solved so far, angle M<QNR must be 63 degrees.

Now, lets solve further to find out what x is:

(8x-1)=63

Lets add x to both sides to get 8x alone:

(8x)=64

We dont need the parethese, for they do not have a function, so:

8x=64

Finally, lets divide 8 from both sides so we can make 8x into just x:

x=8

So x is equal to 8.

Overall:

x = 8

Angle m<QNR = 63

Hope this helps! :)

The table of values that represents exponential decay is (c)

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

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Answer:

80 degrees

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.

She should multiply 1.09 in her current balance by to find her total balance in a year in one step.

In the given question, Salma invests money in an account paying a simple interest of 9% per year.

No money will be added or removed from the investment so we have to find what should she multiply in her current balance by to find her total balance in a year in one step.

For 9% simple interest.

For $100 we get interest of $9 and total money became $109.

Here the factor is (109/100) = 1.09

by multiply by 1.09 simply we can get total amount.

So, she should multiply 1.09 in her current balance by to find her total balance in a year in one step.

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Answer:

Step-by-step explanation:

x-values approach x = -2, but do not touch the vertical line x = -2.  All other x-values are permitted.  Thus, the domain is (-2, infinity).

Answer:

Horizontal: y = 9

Vertical: x = 3

Step-by-step explanation:

Any point is given in the form (x,y). The first number is the x and the second number is the y.

Horizontal lines (a left-right line like the horizon) have an equation in the form "y = anumber" This works because a horizontal line has ZERO slope. So there is no x in the equation because--

y = 0x + b

y = b (a number, use the y-number from the point)

A vertical line has undefined slope so you can't even pretend to use a slope equation. A vertical line (up and down) has an equation in the form

"x = anumber" Use the x from the point.

Horizontal line through (3,9) is y=9.

Vertical line through (3,9) is x=3

assistant professors on the business faculty at state-supported institutions in Ohio make, on average, between $69,263 and $74,737 for nine months.

In Ohio's state-supported institutions, the

average incom for a sample of assistant professors in the business faculty for nine months is $72,000.

Since the sample size is unknown, it is difficult to draw any definitive conclusions based on this statistic

. However, we can use this mean to estimate the probable range of incomes for assistant professors at these institutions by calculating a confidence interval.For example, if we use a 95 percent confidence level, we can assume that the real average income for assistant professors in the business faculty at Ohio's state-supported institutions falls within a certain range of values

. Based on the sample mean of $72,000 and a standard deviation of $5,000, the 95 percent confidence interval is $69,263 to $74,737. This means that we are 95 percent confident that the real average income for assistant professors falls within this range.The interval reflects the range of values that the true average could fall within, given the uncertainty of the sample data.

Therefore, we can infer that assistant professors on the business faculty at state-supported institutions in Ohio make, on average, between $69,263 and $74,737 for nine months.

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The mean income for sample assistant professors on the business faculty at state-supported institutions in Ohio is $72,000 for 9 months.

Based on the information provided, the mean income for sample assistant professors on the business faculty at state-supported institutions in Ohio is $72,000 for 9 months.

To better understand this, let's break it down step by step:

1. The mean income refers to the average income earned by assistant professors on the business faculty in Ohio.
2. The sample represents a group of assistant professors who were surveyed or studied.
3. The business faculty refers to the department or area of expertise these assistant professors specialize in.
4. State-supported institutions in Ohio are public universities or colleges that receive funding from the state government.
5. The $72,000 represents the average income earned by assistant professors on the business faculty in Ohio over a period of 9 months. It does not include income earned during the summer months.
6. It's important to note that this figure may vary for different individuals based on factors such as experience, qualifications, and position within the faculty.

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Answer:

x=5 y=-5

Step-by-step explanation:

Answer:

x\(\geq\)-3 and x<4

Step-by-step explanation:

5x\(\geq\) -15 and 3x<12

x\(\geq\) -3 and x<4

Now you just need to graph it :)

Answer: i believe Z=115 and Y=30

Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.

If the alternative hypothesis is that the proportion of items in population 1 is larger than the proportion of items in population 2, then the null hypothesis should be that there is no significant difference in the proportion of items between population 1 and population 2.

Based on the information provided, the null hypothesis should be:

The null hypothesis is that the proportion of items in population 1 is less than or equal to the proportion of items in population 2.

This is denoted as H₀: P₁ ≤ P₂. The alternative hypothesis, as you mentioned, is that the proportion of items in population 1 is larger than the proportion of items in population 2, which is represented as H₁: P₁ > P₂.

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Answer:

2

Step-by-step explanation:

When it comes to like terms, they have to end with the same symbol A.K.A variables, exponents, and numbers.

1 + 9 + 3u

There are two terms, constants and variables, constant being 1 and 9 while variable being 3u.

The volume of the parallelopiped is 1 cubic units.

In this question,

A parallelepiped is a three-dimensional shape with six faces, that are all in the shape of a parallelogram. It has 6 faces, 8 vertices, and 12 edges. The volume of a parallelepiped is the space occupied by the shape in a three-dimensional plane.

Let the parallelepiped be PQRS.

The vertices of parallelepiped are P(0, 1, 0), Q(1, 1, 1), R(0, 2, 0), S(3, 1, 2).

The volume of parallelopiped can be found by using following steps.

PQ = Q - P = (1,0,1)

PR = R - P  = (0,1,0)

PS = S - P  = (3,0,2)

Now, the volume of parallelopiped is

\(v=\left\begin{vmatrix}1&0&1\\0&1&0\\3&0&2\end{vmatrix}\)

The determinant the matrix is

⇒ 1(2-0) - 0(0-0) + 1(0-3)

⇒ 1(2) - 0 + (-3)

⇒ 2 - 3

⇒ -1

Hence we can conclude that the volume of the parallelopiped is 1 cubic units.

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(a) To compute the price, p, when x = 2, we substitute x = 2 into the demand function: p = -3(2)^2 - 2(2) + 20. Simplifying this expression, we get p = -12 - 4 + 20 = 4 dollars.

(b) To compute the rate of change of demand with respect to price, we use implicit differentiation. Taking the derivative of the demand function with respect to x, we get dp/dx = -6x - 2.

To find the rate of change of demand with respect to price when x = 2, we substitute x = 2 into the derivative: dp/dx = -6(2) - 2 = -14.

Therefore, the rate of change of demand with respect to price when x = 2 is -14.

The elasticity of demand is a separate concept and requires additional information to be calculated. It is not directly related to the rate of change of demand with respect to price.

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Answer:

390 well actually 389.75 but still