the product of two factors is 4200.if one of the factors is 60.what is the other factor? ​

Answer:

Step-by-step explanation:

Answer:

97611 is the correct answer

Answer:

Step-by-step explanation:

x + y + z = 97 eq1

x - z = 9 eq2

y = 2z eq3

Since y is already defined in eq3, we can substitute eq3 into eq1.

x + 2z + z = 97

x + 3z = 97 new eq1

Now, we have only 2 equations to work with that have two variables.

x + 3z = 97 new eq1

x - z = 9 eq2

Subtract eq2 from new eq1 to eliminate the x terms.

4z = 88

z = 22

Next, substitute this value of z into eq3 to solve for y.

y = 2(22)

y = 44

Finally, we can substitute the values of y and z into eq1 to solve for x.

x = 97 - 44 - 22

x = 31

The three numbers are 22, 31, and 44.

number of favourable outcome to d is 2

number of possible outcome is 3

p(D)=2/3

p(D, D) =p(D)×p(D)

p(D,D) 2/3 ×2/3

p(D,D)=4/9

probability =4/9 (D)

It is noticed that the factors then the x-intercepts are the same value as that of factors.

Given that, the quadratic equation represented on the graph in factored form is y=(x-3)(x+2).

From the graph, x-intercepts are x=-2 and x=3.

The vertex of the given quadratic graph is (0.5, -6)

Therefore, it is noticed that the factors then the x-intercepts are the same value as that of factors.

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f - 6 = -2f + 3(f - 2)

f - 6 = -2f + 3f - 6

f + 2f - 3f = -6 + 6

0 = 0

Every number is solution this equation.

Answer:

See Explanation

Step-by-step explanation:

Required

Determine any equation where n = 6

\(n = 6\)

Add n to both sides

\(n + n = 6 + n\)

\(2n = 6 + n\) ----- This is 1 equation

\(n = 6\)

Multiply both sides by n

\(n * n = 6 * n\)

\(n^2 = 6n\) ----- This is another

\(n = 6\)

Add 5n to both sides

\(n + 5n = 6 + 5n\)

\(6n = 6 + 5n\) ---- This is another

Subtract 10 from both sides

\(6n - 10 = 6 - 10 + 5n\)

\(6n - 10 = -4 + 5n\)

\(6n - 10 = 5n - 4\) --- This is another

You can have as many equations as possible

The value of cos(2α + β) using trigonometric identities is; -1.0155

We are given;

α = sin⁻¹(4/5)

β = tan⁻¹(12/5)

Thus;

sin α = 4/5

tan β = 12/5

From trigonometric ratios, we can say that;

cos α = 3/5

sin β = 12/13

cos β = 5/13

We know from trigonometric identities that  cos (a + b) = cos a cos b - sin a sin b.

Thus;

cos(2α + β) = cos 2α cos β - sin 2α sin β

Thus;

cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))

= 0.4615 - 1.477

= -1.0155

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The appropriate Taylor series for an infinite series with the first four nonzero terms equal to ln(5/3) is 0/1!, 0/2!, 0/3!, and 0/4! .......

An infinite sum of words that are expressed in terms of a function's derivatives at a single point is known as the Taylor series or Taylor expansion of a function in mathematics. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. The polynomial or function of an infinite sum of terms is the Taylor series. The exponent or degree of each succeeding term will be greater than the exponent or degree of the one before it.

The formula is:

∑​n=0​ to ∞(fⁿ(a)(x-a)ⁿ)/n!

Here,

∑​n=0​ to ∞(fⁿ(a)(x-a)ⁿ)/n!

at n=1,

=0/1!

at n=2,

=0/2!

at n=3,

=0/3!

at n=4,

=0/4!

Appropriate taylor series for first four nonzero terms of an infinite series that is equal to ln(5/3) is 0/1!, 0/2!, 0/3!, 0/4!.......

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​​

The value of the function operation f - g(x) is 3x² + x

Function operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.

Addition and subtraction of functions:

A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.

Multiplication of functions:

Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.

Composition of functions:

Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.

In this problem, we have two functions which are;

The value of (f - g)(x) = 3x² + x

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Answer:

21 ft by 66 ft

Step-by-step explanation:

From the question,

P = 2(L+W)............... Equation 1

Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.

If the Length of the Field is 45 ft longer than the width,

L = 45+W............ Equation 2

Substitute Equation 2 into equation 1

P = 2(45+W+W)

P = 90+4W............. Equation 3

Given: P = 174 ft.

Substitute into equation 3

174 = 90+4W

4W = 174-90

4W = 84

W = 84/4

W = 21 ft.

Substituting the value of W into equation 2

L = 45+21

L = 66 ft.

Hence the dimensions of the playing field is 21 ft by 66 ft

Refer to the attached photos. I would appreciate a rate :)

Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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If the Hypothesis p is false and conclusion q is false then the disjunction ∼q⟶p is false.

In classic propositional logic, a conjunction is a binary operator, that is, used to connect two propositions. A conjunction between two propositions is always true if and only if each of the two propositions are also true, otherwise the compound proposition is false.

Logic Disjunction; consider p and q are propositions.

The dis-junction of p and q, is denoted by p ∨ q, is the proposition called "p or q".

The rule for the 'or' operation would be; If any of the propositions are true, then the result is true.

Thus, If the Hypothesis p is false and conclusion q is false then the disjunction ∼q⟶p is false.

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Given

We find the angle Θ:

And

Answer:

Θ = 74.02, 285.98

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Angles of similar triangles are always congruent a: 63, b: 88, c: 29 and x = 53.75

Based on the information available, there are numerous equations for calculating the area of a triangle. As indicated in the calculator above, please use the Triangle formula for additional information and equations for calculating the area of a triangle as well as determining the sides of a triangle using whatever information is available.

find the ratio between the two triangles:

40 on the left corresponds to 50 on the right = 40/50 = 43/x

to find x:

40x = 43 × 50

40x = 215

x = 215/40

x = 53.75

"angles of similar triangles are always congruent."

a: 63

b: 88

c: 29

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Full question:

Given a pair of similar triangles, find the missing length x and the missing angles A, B, and C.

\(\\ \sf\longmapsto y=mx+b\)

\(\\ \sf\longmapsto 3=-25(-5)+b\)

\(\\ \sf\longmapsto 3=125+b\)

\(\\ \sf\longmapsto b=-122\)

Equation of the line

\(\\ \sf\longmapsto y=-25x-122\)

Answer:

x1= -1.29436   x2= 5.79436

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: each base angle in an isosceles right triangle measures 45 degrees.

Step-by-step explanation:

In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).

Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.

To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:

x + x + 90 = 180

Simplifying the equation:

2x + 90 = 180

Subtracting 90 from both sides:

2x = 90

Dividing both sides by 2:

x = 45

Answer:a car

Step-by-step explanation:

The probability that the same number will come up in exactly 2 occasions when a die is rolled 3 times is 1/36.    

To solve this problem, we need to use the concept of probability. The probability of an event happening is defined as the number of favorable outcomes divided by the total number of possible outcomes.

In this case, we are rolling a die 3 times and we want to find the probability that the same number comes up in exactly 2 of those rolls.

Let's consider the possible outcomes for each roll:  

There are 6 possible outcomes for the first roll (rolling any number from 1 to 6).

For the second roll, there are again 6 possible outcomes, but only 1 of those outcomes will give us the same number as the first roll.

For the third roll, there are again 6 possible outcomes, but only 1 of those outcomes will give us the same number as the first or second roll.

Therefore, there are a total of 6 x 1 x 1 = 6 favorable outcomes, where the same number comes up in exactly 2 of the 3 rolls.

Now let's calculate the total number of possible outcomes:

Therefore, there are a total of 6 x 6 x 6 = 216 possible outcomes.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = number of favorable outcomes / total number of possible outcomes

Probability = 6 / 216

Probability = 1 / 36

Therefore, the probability that the same number will come up in exactly 2 occasions when a die is rolled 3 times is 1/36.

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From the diagram we have a line with the following endpoints;

The rule for reflecting across the line

is such that the x-coordinates and the y-coordinates switch places.

This means, for the points identified above, after reflecting across the line y = x, the coordinates of the endpoints would now be such that x, moves to the place of y, and vice versa.

We now have;

ANSWER:

The second option is the correct answer

The correct answer is 36.  The ratio of number of correct problems to the incorrect is 2:9.  Josie missed 8 questions.  The common number for 8 and 2 is four.  You multiply 4 to 9 and that will give us 36.  To further illustrate see the explanation below:

2:9 = 8:36

8/2 = 4

36/9 = 4

2:9 = 8:?

8/2 = 4

4 x 9 = 36

Answer:

8 i think

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.

Answer:

\(the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} \)

The required h(x) is the quadratic h(x) = 12x² + x - 6. Option A is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f(x) = 3x - 2 and g(x) = 4x + 3

According to the given condition,
h(x) = f(x) * g(x)

Substitute the function in the above expression,
h(x) = 3x - 2 * 4x + 3
h(x) = 3x(4x + 3) -2(4x + 3)
h(x) = 12x² + 9x -8x -6
h(x) = 12x² + x - 6

Thus, the required h(x) is the quadratic h(x) = 12x² + x - 6. Option A is correct.

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Answer:

C≈43.98cm

Step-by-step explanation:

Hhhhhhhhhhhhhhhhhhh

Answer:

Step-by-step explanation:

hello :

the circumference ix : P= 2 pi ×r r : ridus r = diameter/2 = 7 cm

P= 2×3.14×7=43.96 cm

Answer:

  D. Square

Step-by-step explanation:

You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).

A graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.

The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.

The figure is all of a rectangle, rhombus, and square.

The most specific name for the figure is Square.

__

Additional comment

A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.

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A model which is best for making predictions about the data set include the following: A. y = 2.0259x + 0.167763.

In order to determine an equation for the line of best fit that models the data points contained in the graph (scatter plot), we would have to use a graphing calculator (Microsoft Excel).

Based on the scatter plot (see attachment) which models the relationship between the x-values (variable 1) and y-values (variable 2), an equation for the line of best fit is given by

y = 2.0259x + 0.167763

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