What percent of 125 is 90? Write your answers in the blanks.

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

Answer:

BD = 8.5 units

Step-by-step explanation:

From the figure attached,

ΔABC and ΔADB are the right triangles.

By applying mean proportional theorem,

\(\frac{\text{AD}}{\text{BD}}=\frac{\text{BD}}{\text{CD}}\)

BD² = AD × CD

BD² = 6 × 12

BD = √72

BD = 6√2

     = 8.485

BD ≈ 8.5 units

Therefore, measure of segment BD will be 8.5 units.

Answer:

10.75

Step-by-step explanation:

Answer:

10.75 gallons

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, let's find the surface area of both the triangles

5x3=15

So, the surface area of the triangles is 15 sq.cm

Now, let's find the surface area of the base (large rectangle in the middle)

12x8=?

10x8=80

2x8=16

80+16=96

12x8=96

So, the surface area of the base, is 96sq.cm

Now, let's find the surface area of both of the side rectangles

12x5=60

60x2=120

So, the surface area of the two side rectangles is 120sq.cm

Now, let's find the total surface area by adding all of our answers.

120+96=216

216+15=231

x+11.95≤30

Then x≤30−11.95x≤30−11.95

x≤18.05x≤18.05Answer:

Step-by-step explanation:

Answer:

Correct answer is the 4th answer.

Step-by-step explanation:

By definition, a matrix is called diagonalizable if there exists some invertible matrix P and a diagonal matrix D such that AP = PD, which is equivalent to having A = PDP^-1.

We are not told that D is a diagonal matrix, hence, it could be any matrix. If A=PDP^-1 for some matrix D that is not diagonal, it doesn't imply that A is diagonalizable. Consider the following case: Let us take A a non diagonalizable matrix. Take D = A and P = identity matrix of size n. Then, this equation holds, but A is still not diagonalizable.

SOLUTION

We want to solve

Of is the same as multiplication. So we have

This becomes

Hence the answer is

Step-by-step explanation:

(x-2)^3 = x^3-6x^2+12x-8

-(x^3-6x^2+12x-8)=

-x^3+6x^2-12x+8

-x^3+6x^2-12x+8 -5=

y=-x^3+6x^2-12x+3

I attached the picture

Answer:

NOT D graph 4

Step-by-step explanation:

The first hour there will be 18 costumers that will order Turkey sandwiches

Probability

First, we want to find the probability of having a costumer who choose Turkey sandwich.

In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.

Turkey sandwiches: 180

Total number of orders: 160 + 100 + 180 + 60 = 500

Ratio = turkey / total

Ratio = 180 / 500 = 0.36

Then, the probability of having a costumer who choose Turkey sanwich is

P(T) = 0.36 = 36%

Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:

Hence , the first hour there will be 18 costumers that will order Turkey sandwiches

Learn more about Probability at:
https://brainly.com/question/13604758

#SPJ1

Answer:

\(a < - 12\)

Step-by-step explanation:

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

Learn more on residual values of a set of data here: https://brainly.com/question/31687998

#SPJ1

Answer:

83 kilometres per hour =

51.574 miles per hour

Answer:

25*x=p?

or

75/25=3

3= how many paintings the artist made

Step-by-step explanation:

I think its 75 divided by 25. Which would get you 3? Use that 3 to find the profit? Or it could be 25 times x which would get you the amount of p?

Answer:

\(Mean = 100\)

\(Median = 96\)

Step-by-step explanation:

Given

\(C_v = 30\%\) --- coefficient of variation

\(mode = 88\)

\(Skp = 0.4\)

Required

The mean and the median

The coefficient of variation is calculated using:

\(C_v = \frac{\sigma}{\mu}\)

Where:

\(\mu \to\) mean

So:

\(30\% = \frac{\sigma}{\mu}\)

Express percentage as decimal

\(0.30 = \frac{\sigma}{\mu}\)

Make \(\sigma\) the subject

\(\sigma = 0.30\mu\)

The coefficient of skewness is calculated using:

\(Skp = \frac{\mu - Mode}{\sigma}\)

This gives:

\(0.4 = \frac{\mu - 88}{\sigma}\)

Make \(\sigma\) the subject

\(\sigma = \frac{\mu - 88}{0.4 }\)

Equate both expressions for \(\sigma\)

\(0.30\mu = \frac{\mu - 88}{0.4 }\)

Cross multiply

\(0.4*0.30\mu = \mu - 88\)

\(0.12\mu = \mu - 88\)

Collect like terms

\(0.12\mu - \mu = - 88\)

\(-0.88\mu = - 88\)

Divide both sides by -0.88

\(\mu = 100\)

Hence:

\(Mean = 100\)

Calculate \(\sigma\)

\(\sigma = 0.30\mu\)

\(\sigma = 0.30 * 100\)

\(\sigma = 30\)

So:

Also, the coefficient of skewness is calculated using:

\(Skp = \frac{3 * (Mean - Median)}{\sigma}\)

\(0.4= \frac{3 * (100 - Median)}{30}\)

Multiply both sides by 30

\(0.4*30= 3 * (100 - Median)\)

Divide both sides by 3

\(0.4*10= 100 - Median\)

\(4= 100 - Median\)

Collect like terms

\(Median = 100 - 4\)

\(Median = 96\)

Answer:

High

Step-by-step explanation:

the only numbers that don't overlap is 53 and 59 all the others would overlap.

Answer:

The overlap is high.

Answer:

the answer is A.y=4x+7

Step-by-step explanation:

Line M is parallel to the line L, so the equation for line M isy=4x+b

Plug in the coordinates of the point (2,15) , you get:

15=4*2+b

Solve that to get b=7

Therefore the equation of line M is y=4x+7

The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

To learn more about : equation

https://brainly.com/question/17145398

#SPJ8

Answer:

-5, 3

Step-by-step explanation:

Answer:

84 inches

Step-by-step explanation:

There are 12 inches in one foot so you just need to multiply.

12 x 7 = 84

Hope that helps and have a great day!

Answer:

0.02

Step-by-step explanation:

i dont know if u want explanation

Answer:

Step-by-step explanation:

Answer:

$750

Step-by-step explanation:

20% can also be written as 1/5 in fraction form (20/100)

3750 x 1/5 = 750

The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

Learn more about distance here:

https://brainly.com/question/26046491

#SPJ1

Answer:

Step-by-step explanation:

P = $1000

R = 5%

N = 1

t = 3 years

A= 1000 ( 1+0.03/1)^1(3)

A = 1000(1.03)^3

A = $1092.73

Answer:

C                      

Step-by-step explanation:

The probability of forming this committee with equal representation is approximately 0.570 or 57.0%.

The total number of individuals in the ATU COVID-19 team of Marshalls is 50 (13+15+10+12). To form an executive committee of 16 with equal representation, we need to choose 4 individuals from each group (4 lecturers, 4 students, 4 administrative staff, and 4 medical personnel).
Using the combination formula, we can calculate the number of ways to choose 4 individuals from each group:
C(13,4) × C(15,4) × C(10,4) × C(12,4) = 715 × 1,455 × 2,385 × 4,095 = 7,976,476,875
Therefore, there are 7,976,476,875 possible ways to form the executive committee with equal representation.
To calculate the probability of forming this committee, we need to divide the number of possible ways by the total number of ways to choose any 16 individuals from the ATU COVID-19 team of Marshalls:
C(50,16) = 13,983,816
The probability of forming the executive committee with equal representation is:
7,976,476,875 / 13,983,816 = 0.570

Learn more about probability here:

https://brainly.com/question/16447117

#SPJ11

Given :

The population of a small town is 47,288 and has been continuously declining at a rate of 2.4% each year.

To Find :

The approximate population of the town in 21 years.

Solution :

Let, new population after x years is P.

So, P is given by :

\(P = 47288\times ( 1- 0.024)^x\\\\P = 47288\times (0.976)^x\)

Now, putting value of x = 21 in above equation, we get :

\(P = 47288\times (0.976)^{21}\\\\P = 28392\)

Therefore, option d) is correct.

Answer: $50, The account will have $50 in interest after 2 years.

Step-by-step explanation:

2.5% / 100 = 0.025

$1,000 * .025 = 25

25 * 2 = 50

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

To know more abut Parabola .

https://brainly.com/question/21414275

#SPJ11

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

For more such questions on coefficients , Visit:

https://brainly.com/question/1038771

#SPJ8