The sum of two trinomials is 6x2 − 5x + 4. If one of the trinomials is 4x2 + 3x − 2, then what is the other trinomial?

10x2 + 2x − 2

10x2 + 8x − 6

2x2 − 2x + 2

2x2 − 8x + 6

Answer:

2.

Step-by-step explanation:

To find the number of trailing zeroes, given n!, we take n and divide it by increasing powers of 5. For example, the number of trailing zeroes in 50! = 50/5 = 10, 50/25 = 2, 10 + 2 = 12 trailing zeroes.

In this case, 10/5 = 2, and since we cannot get an integer from dividing 10 and 25, we are left with this answer.

I hope this helps!

The probability of rejecting the shipment (both calculators being defective) is the sum of the probabilities from scenario 1:

P(Reject) = P(U) * P(U) = 0.16.

To determine the likelihood of rejecting the shipment, we need to consider the possible outcomes when inspecting two calculators.

Let's analyze the different scenarios:

Both calculators are defective (U): This occurs with a probability of P(U) * P(U) = 0.4 * 0.4 = 0.16.

Only one calculator is defective (SU or US): There are two possible scenarios: SU and US. Each of these scenarios occurs with a probability of P(S) * P(U) + P(U) * P(S) = 0.6 * 0.4 + 0.4 * 0.6 = 0.24.

Therefore, the probability of rejecting the shipment (both calculators being defective) is the sum of the probabilities from scenario 1:

P(Reject) = P(U) * P(U) = 0.16.

So, the likelihood of rejecting the shipment is 16% or 0.16.

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Answer:

525 yd should be your answer

Step-by-step explanation:

Answer:

The number .65443 is rational if it is an integer or decimal.

Step-by-step explanation:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

Answer:

X = 10°

Step-by-step explanation:

angle UGF + angle FGE = 180°. They are supplementary angles or angles on a straight line

thus assuming angle FGE = y, we can write the following equation

y + 9x + 4 = 180°

y = 180 - 9x - 4

= 176 - 9x.... equation 1

angles inside a triangle add up to 180°

3x - 4 + 68 + y = 180°

3x + y = 116

y = 116 -3x. .... equation 2

Equate equation 1 to equation 2

176 -9x = 116 - 3x

-6x = -60

X = 10

Using Punnett square, If parents with heterozygous and straight hair are crossed then out of their 6 kids 3 of them will have straight hair.

If one parent has curly hair and is heterozygous (Cc) and the other parent has straight hair (cc), the Punnett square for their offspring would look like this:

\($$\begin{matrix} & C & c \\ c & Cc & cc \\ c & Cc & cc \end{matrix}$$\)

Each box in the Punnett square represents the possible genotype of an offspring, where C represents the dominant curly hair allele and c represents the recessive straight hair allele.

From this Punnett square, we can see that 50% of the offspring will inherit one C allele from the curly-haired parent and one c allele from the straight-haired parent, making them carriers of the curly hair allele (Cc). The other 50% will inherit one c allele from each parent, making them homozygous recessive for straight hair (cc).

Therefore, out of 6 kids, we can expect 50% or 3 of them to have straight hair.

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The relative price is a useful measure for comparing the prices of different products or services, especially in the context of consumer preferences and demand.

Relative price refers to the price of a particular product or service in relation to other goods or services in the market.

It is calculated as the ratio of the price of a given product or service to the price of a reference product or service, commonly referred to as a base good or service.

Let the price of a pair of shoes be $5 and the price of a box of tea be $3.

Then the relative price of a pair of shoes is given by:

Relative price of shoes = Price of shoes / Price of tea

= $5 / $3

= 1.67

Thus, the relative price of a pair of shoes is 1.67.

Similarly,

The relative price of a box of tea can be calculated as follows:

Relative price of tea = Price of tea / Price of shoes

= $3 / $5

= 0.6

Therefore, the relative price of a box of tea is 0.6.

This means that the price of tea is relatively cheaper than that of shoes, as its relative price is less than one.

The relative price of shoes is greater than one, which indicates that shoes are relatively more expensive than tea.

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Answer:

please see photo attached for detailed analysis.

Answer and Step-by-step explanation:

Area of triangle:

A = \(\frac{bh}{2}\) (Base times height, all divided by 2)

Area of Rectangle/Square

A = bh (base times height)

Triangle:

\(\frac{7*24}{2} = \frac{168}{2} = 84\)

Rectangle:

A = 12.5 * 13 = 162.5

162.5 + 84 = 246.5

#teamtrees #WAP (Water And Plant)

Answer:

Quaterly

Step-by-step explanation:

The Value of n(A U B) is equal to y.

If A and B are two disjoint sets, it means that they have no elements in common. In other words, their intersection is an empty set, denoted as A ∩ B = ∅.

We ahve,

n(A) = y, which represents the number of elements in set A, we can find n(A U B), the number of elements in the union of sets A and B.

The union of two sets includes all the elements that are in either set A or set B (or both).

Since A and B are disjoint, we know that all elements of set A are exclusive to set A and do not belong to set B.

Therefore, n(A U B) would be the sum of the number of elements in set A (n(A) = y) and the number of elements in set B (since they are disjoint, n(B) = 0):

n(A U B) = n(A) + n(B) = y + 0 = y.

Therefore, n(A U B) is equal to y.

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The Longest Increasing Subsequence (LIS) problem is a classic problem in dynamic programming. Given a sequence of numbers, the problem is to find the longest subsequence in which the numbers are in increasing order. For example, given the sequence {3, 1, 5, 2, 4}, the longest increasing subsequence is {1, 2, 4}, which has length 3.

The LIS problem can be solved using dynamic programming by defining an array to store the length of the longest increasing subsequence that ends at each position in the sequence. The array is initialized to 1, and then for each position i in the sequence, the length of the longest increasing subsequence that ends at i is calculated by finding the maximum length of any subsequence that ends at a position j < i and has a smaller value than the value at i. The final solution is the maximum length of any subsequence in the array.

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The slope and y-intercept will be the negative 5/2 and 4.

The complete question is attached below.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The equation is given below.

y > -(5/2)x + 4

The slope and y-intercept will be the negative 5/2 and 4.

The graph is also attached below.

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A system of linear equations: y + 2x = -5 and 8x + 4y = -20  has infinitely many solutions.

The 3 possible solutions of a linear system are:

- Unique or one solution

- Infinite solutions

- No solution

If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.

The given linear system is:

y + 2x = -5           ....... (equation 1)

8x + 4y = -20     ..........(equation 2)

Rearrange equation 1 to:

2x + y = -5

Multiply both sides by 4:

8x + y4 = -20

Hence, equation 1 is equivalent to equation 2. Hence, the given linear system has infinitely many solutions.

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Answer:

10

Step-by-step explanation:

Answer:

D = 10.2

Step-by-step explanation:

Distance Formula = \(\sqrt{(x2-x1)^2+(y2-y1)^2}\)

D = \(\sqrt{(2+6)^2+(4-2)^2}\)

D = \(\sqrt{(10)^2+(2)^2}\)

D = \(\sqrt{100+4}\)

D = \(\sqrt{104}\)

D = 10.2

Answer:

False

What type of variables does linear regression use?

What is linear regression? Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

Can independent variable be categorical in linear regression?

The linear model used in regression analysis always involves a numeric dependent variable. However, in such analyses it is possible to use categorical independent variables.

Hope this helps :)

Pls brainliest...

Answer:true

Step-by-step explanation: In a linear regression model, the independent variable (also known as the predictor or input variable) is typically assumed to be of interval or ratio type. Interval and ratio data are both continuous data types that have equal intervals between values and can be subjected to mathematical operations, such as addition and subtraction.

Answer:

2600%

Step-by-step explanation:

The equation of the line that has a slope of -7/3, has an x intercept at (-9,0) passes through the point (6,-35) is y = (-7/3)x - 21

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

The standard equation of a straight line is:

Ax + By = C

Where A, B and C are constants

The slope intercept form is:

y = mx + b

Where m is the rate of change and b is the y intercept

Given that the line has a slope of -7/3 has an x intercept at (-9,0) passes through the point (6,-35). Using the slope and y intercept:

y - y₁ = m(x - x₁)

y - 0 = (-7/3)(x - (-9))

y = (-7/3)x - 21

The equation of the line is y = (-7/3)x - 21

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According to the problem,The area of the figure is approximately 34 square units.

A square is a four-sided plane figure where all sides are equal length and all angles are right angles. It is a two-dimensional shape with four equal-length sides and four equal angles of 90°. Squares are often used in designs and architecture, and are an important part of Euclidean geometry. They are also found in nature, such as in a honeycomb, in a checkerboard pattern, and in tessellations.

To calculate this, we need to calculate the area of the square and the area of the circle's segment. The side of the square is 4 units, so the area of the square is 4 x 4 = 16 square units. The radius of the circle is also 4 units, so the area of the circle's segment is (1/2)πr^2, which is (1/2)π(4^2) = 16π/2 = 16 x 3.14/2 = 24.96 square units.

Therefore, the area of the figure is 16 + 24.96 = 40.96 square units, which is approximately 34 square units to the nearest whole number.

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Answer:

14

Step-by-step explanation:

2.5(r - 4) + 5 = 30

multiply out left side:

2.5r - 10 + 5 = 30

add 5 from both sides:

2.5r - 10 + 5 + 5 = 30 + 5

2.5r = 35

divide bot sides by 2.5:

2.5r/2.5 = 35/2.5

r = 14

Answer:

8:16

7:14

Step-by-step explanation:

all equal to 1:2

Answer:

8:16

7:14

Step-by-step explanation:

5/10 = 1/2

8/16 = 1/2

7/14 = 1/2

Answer:

v = 72

Step-by-step explanation:

If the length of both the sides are 12, it means it is an Isosceles triangle which means 2 sides of a triangle are equal. If both sides are equal then both angles will be equal too.

54 and 54

54 + 54 + v = 180

108 + v = 180

v = 72

Answer:

-4/5

Step-by-step explanation:

To find the slope of the tangent to the equation at any point we must differentiate the equation.

x^3y+y^2-x^2=5

3x^2y+x^3y'+2yy'-2x=0

Gather terms with y' on one side and terms without on opposing side.

x^3y'+2yy'=2x-3x^2y

Factor left side

y'(x^3+2y)=2x-3x^2y

Divide both sides by (x^3+2y)

y'=(2x-3x^2y)/(x^3+2y)

y' is the slope any tangent to the given equation at point (x,y).

Plug in (2,1):

y'=(2(2)-3(2)^2(1))/((2)^3+2(1))

Simplify:

y'=(4-12)/(8+2)

y'=-8/10

y'=-4/5

Solution:

Given:

Using the simple interest formula;

At t = 0 years,

At t = 5 years,

At t = 10 years,

At t = 15 years,

At t = 20 years,

To get the amount,

The table can be represented below;

The graph to represent the simple interest account is shown below;

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

Answer:

The number of laps Tonya swam last week were:

Step-by-step explanation:

To understand the ratio, you must know that 3:10 means that each time Tonya swam 3 laps, Randy swam 10 laps, by this reason, to identify the total number of laps you can divide the total difference given in the exercise (84 laps) into the difference indicated by the ratio (10 - 3 = 7 laps):

This number obtained is the number of times the ratio had to be met so that the difference in laps swam was 84. Now, you must multiply the obtained value (12) by the number of laps from Tonya given in the ratio (3):

As you can see, with the calculates, we obtained  36 laps in total. You could also do the iterations 12 times, subtracting the number of turns given by Tonya from the number of turns made by Randy and you would get the same result:

Answer:

18 Superfícies  

Step-by-step explanation: