Kwo writes down one square number and one cube number.
When she adds the two numbers together, she gets a total that is more than 80 but less
than 100.

What square number and what cube number could Kwo have written down?

(Please write "X and Y", where X and Y are your two numbers)

Using the given zero . The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

If 1 + i is a zero of the polynomial function P(x), then its conjugate, 1 - i, must also be a zero of the polynomial, since complex zeros of polynomial functions with real coefficients always come in conjugate pairs.

To find the remaining zero, we can use polynomial division or synthetic division to divide P(x) by (x - 1 - i)(x - 1 + i), which is the quadratic factor corresponding to the two known zeros:

      2x^2 - 3x + 2

P(x) = --------------

       (x - 1 - i)(x - 1 + i)

Now we need to solve for the roots of the quadratic factor 2x^2 - 3x + 2. We can use the quadratic formula:

x = [3 ± sqrt(9 - 4*2*2)] / (2*2)

 = [3 ± sqrt(1)] / 4

 = 1/2 or 2

Therefore, the remaining zeros of P(x) are 1/2 and 2. The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

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The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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Answer:

28.05$

Step-by-step explanation:

The game got a discount of 15%.
New price is   (30$) ( 0.85 )  =  25.5$   (since the discount is 15% you only pay for the 85% of the original price)

Then an increase of 10%. this is:
New price:   25.5$ (1.10) = 28.05

New price is 28$ with 5 cents

Answer:

0.5819 = 58.19% probability that five or more families have life insurance

Step-by-step explanation:

For each family, there are only two possible outcomes. Either they have insurance, or they do not. The probability of a family having insurance is independent of other families. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

77% of husband-wife families with kids under 18 years old have life insurance.

This means that \(p = 0.77\)

A random sample of six husband-wife families was selected.

This means that \(n = 6\)

What is the probability that five or more families have life insurance?

This is

\(P(X \geq 5) = P(X = 5) + P(X = 6)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 5) = C_{6,5}.(0.77)^{5}.(0.23)^{1} = 0.3735\)

\(P(X = 6) = C_{6,6}.(0.77)^{6}.(0.23)^{0} = 0.2084\)

\(P(X \geq 5) = P(X = 5) + P(X = 6) = 0.3735 + 0.2084 = 0.5819\)

0.5819 = 58.19% probability that five or more families have life insurance

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

I think he should plot the point at (4, 2)

The attachment is a repost showing what I see if Jeff attaches the 3rd point to the listed points.

Answer:

\(\displaystyle{f(x)=3^x-5}\)

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

\(\displaystyle{f(x)=3^x-5}\)

or A choice.

Answer:

-2 and 14

Step-by-step explanation:

The numbers are -2 and 14

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

given

Let smaller number be x and larger number be y

x * 3 = -6

x = -6/3 = -2

x+y = 12

-2 + y = 12

y = 12+2 = 14

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Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)

The statement that applies to the sample math is:

B. the work shown to remove all fractions is not correct

The given steps are:

y = ¹/₄x + 2

- I first isolate the constant.

- After doing so, I get the equation: -¹/₄x + y = 2

- To remove the fraction, I multiply by –4, giving the equation x - 4y=2, which is the final answer.

The correct steps are as follows:

y = ¹/₄x + 2

First isolate the constant to get: y - ¹/₄x = 2

To remove the fraction, Multiply the obtained equation by –4

So, Equation : x - 4y = -8

On comparing both the work we can see that in the given work the removal of fraction is done incorrectly

They didn't multiply -4 on the right hand side .

Thus, option B applies.

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Answer:

y=60

Step-by-step explanation:

1) Find x

All the interior angles of a triangle add up to 180 degrees. Knowing this, we can construct the following equation:

\(180=x+35+25\\180=x+60\)

Subtract 60 from both sides

\(180-60=x+60-60\\120=x\)

2) Find y

A straight line has an angle measure of 180 degrees as well. Knowing this, we can construct the following equation:

\(180=x+y\\180=120+y\)

Subtract 120 from both sides of the equation

\(180-120=y+120-120\\60=y\)

There is also a second way to solve for y: An exterior angle of a triangle is equal to the sum of the opposite interior angles. y, in this case, would be the exterior angle and 35 and 25 degrees would measure the opposite interior angles. To solve for y, we just add 35 and 25, getting us 60 degrees.

I hope this helps!

Answer:

BODMAS RULE

(c-3)²=100

c²-6c+9=100

c²-6c=100-9

c²-6c=91

c²-6c-91=0

then factories

Answer and Step-by-step explanation:

Triangle CAM is congruent to triangle IAM by the SAS postulate (Side angle Side.

This is because the midpoint is congruent with itself, and since it is midpoint, it forms right angle, making the angle part, and since its also the midpoint, it splits Ci in half, making CM congruent to CI

The given system of linear equations has a unique solution.

A linear equation is an algebraic equation in which each term has an exponent of 1 and when graphed, the result is always a straight line.

Given that, a system of linear equations, ​ y = 5x+1 and y = -2x-8, we are asked to find how many solutions do they have,

The rule for a system of linear equations, ​a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ = 0 are :-

​a₁ / a₂ ≠ b₁ / b₂, and the lines intersect at one only point.

a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂, and the lines are parallel.

a₁ / a₂ = b₁ / b₂ = c₁ / c₂, and the lines overlaps.

Checking for the given equations,

y = 5x+1 and y = -2x-8

Converting into standard form of the linear equations,

5x-y +1 = 0 and 2x+y+8 = 0

5/2 ≠ -1

The equation is following the rule of unique solution, also the graph is intersecting at one point, [graph is attached]

Hence, the given system of linear equations has a unique solution.

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Answer:

One solution

Step-by-step explanation:

Answer:

  C. RP = 4.5

Step-by-step explanation:

You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given  three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.

Similarity can be shown if all three sides are proportional, or if two angles are congruent.

The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.

  C. RP = 4.5

__

Additional comment

The side ratios in the two triangles are ...

  AB : BC : CA = 10 : 9 : 6

  QP : PR : RQ = 5 : PR : 3

For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.

The probability that at least 1000 cars will cross the intersection in the next hour depends on the assumptions made about the distribution of car arrivals.

The probability that at least 1000 cars will cross the intersection in the next hour can be determined by first finding the rate per hour.
Convert the rate from cars per minute to cars per hour.

Since there are 60 minutes in an hour, multiply the given rate (16 cars per minute) by 60 minutes:
16 cars/minute x 60 minutes/hour = 960 cars/hour
Compare the desired number of cars (1000) with the calculated rate per hour (960 cars/hour). Since 1000 cars are more than the rate of 960 cars/hour, the probability of at least 1000 cars crossing the intersection in the next hour is less than 100%.
To determine the exact probability, we need to make some assumptions about the distribution of car arrivals.

If we assume the car arrivals follow a Poisson distribution, we can use the Poisson probability formula to find the probability of at least 1000 cars crossing the intersection:
P(X ≥ 1000) = 1 - P(X < 1000) = 1 - (P(X=0) + P(X=1) + ... + P(X=999))
Where P(X=k) = (e^(-λ) * (λ^k)) / k!,

λ is the average rate (960 cars/hour), and k is the number of cars.
Calculate the probabilities for P(X=0) to P(X=999) and sum them up.

Then subtract the sum from 1 to get the probability of at least 1000 cars crossing the intersection in the next hour.
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The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data

1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.

2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.

3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.

4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.

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Answer:

Part A: (-7,-4)

Part B: (3,-4)

Step-by-step explanation:

student 3 i thin srry if im wrong

Answer:

student 3

Step-by-step explanation:

The value of X is 11100.

The average annual number of jobs available for registered nurses is 103,900. If we assume a normal distribution with a standard deviation of 8040, find the probability that: B. More than 80,000 but less than 95,000 jobs are available for RNs and C. If the probability is 0.1977 that more than X amount of jobs are available, find the value of X.(B) More than 80,000 but less than 95,000 jobs are available for RNsZ = (X-μ)/σZ1 = (80000 - 103900)/8040 = -1.73Z2 = (95000 - 103900)/8040 = -0.51The probability that the number of jobs is between 80,000 and 95,000 is P(-1.73 < Z < -0.51) = P(Z > -0.51) - P(Z > -1.73) = 0.6965 - 0.0423 = 0.6542

Therefore, the probability that more than 80,000 but less than 95,000 jobs are available for RNs is 0.6542.(C) If the probability is 0.1977 that more than X amount of jobs are available, find the value of X.Since we don't have a specific value of X, we will find the Z-score corresponding to the given probability: P(Z > Z) = 0.1977Using standard normal tables, we find that the Z-score is approximately 0.84. Therefore:0.84 = (X - μ) / σX = μ + 0.84σSubstituting in the given values: X = 103900 + 0.84(8040)X = 11073.6Rounding to the nearest whole number, the value of X is 11100.

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The sum of the surd √27 and √108 is  9√3

Surds are the square roots (√) of numbers that cannot be simplified into a whole or rational number.

In other words, surds have a decimal which goes on forever without repeating, and are Irrational Numbers.

Let's find the sum of the surd √27 and √108.

Therefore,

√27 + √108

√27 = √9 × 3 = 3√3

√108  = √36 × 3 = 6√3

Therefore,

3√3 + 6√3 = 9√3

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Answer:

\((9x^3y^2)^2\)

Step-by-step explanation:

The expression, as a square of a monomial, will be given by:

\((\sqrt{81x^6y^4})^2\)

Now, we calculate the root, applying it's properties. So

\(\sqrt{81x^6y^4} = \sqrt{81} \times \sqrt{x^6} \times \sqrt{y^4} = 9 \times x^{\frac{6}{2}} \times y^{\frac{4}{2}} = 9x^3y^2\)

The expression as a square of a monomial is given by

\((9x^3y^2)^2\)

Answer:

167.6190 approximately 167.62 inches

Step-by-step explanation:

formula for surface area of a cone is 1/3πr×r×slant height. How this helps.

Answer:

Q2) There are 36 possible designs for the casing for gears housing.

Q3) There are 22 different choices available to the driver.

Step-by-step explanation:

Q2) There are 4 different types of fasteners, 3 different bolt lengths, and 3 different bolt locations, for a total of 4 x 3 x 3 = 36 different combinations of fastener, bolt length, and bolt location. This means that there are 36 possible designs for the casing for gears housing.

Q3) There are 4 different roads that the driver can take directly from city A to city B, and 3 different roads that the driver can take from city A to city C, for a total of 4 + 3 = 7 different choices from city A to city B that involve either taking a direct route or going through city C. Additionally, for each of the 3 different roads from city A to city C, there are 5 different roads from city C to city B that the driver can take, for a total of 3 x 5 = 15 different choices that involve going through city C. Therefore, in total, there are 7 + 15 = 22 different choices available to the driver.

There are 36 possible designs for the gear casing. There are a total of 19 possible routes for the driver to reach City B from City A.

This question is about the mathematical concept of combinations. In the casing for gears housing scenario, you are choosing different combinations of fasters, bolt lengths, and bolt locations which means you multiply the options together. So the number of designs is 4 fasters * 3 bolt lengths * 3 bolt locations = 36 different designs possible.

For the road from city A to city B, you can either go directly or pass by city C. For direct paths, there are 4 choices. In the case of passing by city C, you multiply the options together which means 3 different roads from A to C * 5 roads from C to B = 15 choices. Therefore, by adding both possibilities, you get a total of 4 choices (direct) + 15 choices (via city C) = 19 different choices are available.

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Answer:

New Jersey is 1/3 the size of Pennsylvania or

Pennsylvania is 3 times the size of New Jersey

Step-by-step explanation:

T = Texas N = New Jersey P = Pennsylvania

T = 6N

P = 1/2T

so flip it

if

P = 1/2T

then

T=2P

2P = T = 6N

2P = 6N

then simpify by dividing both sides by 2

P = 3N

Ratio of the size of New Jersey to the size of

Pennsylvania

so flip it

if

P = 3N

then

1/3P = N

N = 1/3P

so

Ratio is

New Jersey is 1/3 the size of Pennsylvania

Answer:

0.65

hope this helps

Step-by-step explanation:

Answer:

Mode

Step-by-step explanation:

I believe mode because 8 is the number that appears most often in this set of numbers.

note: Mode is the number that appears most often in any set of numbers.

The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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