how to divide 3.5 by 70

By using the second equation to make a substitution for x in the first equation, the resulting equation is 3y - 3 - 2y = 7.

Given the system of equations:

1) 3x + 2y = 7

2) x - y/3 = 0

To make a substitution for x in the first equation using the second equation, we solve the second equation for x:

x - y/3 = 0

x = y/3

Now, we substitute this value of x into the first equation:

3x + 2y = 7

3(y/3) + 2y = 7

y + 2y = 7

3y = 7

Simplifying further, we have:

3y - 3 - 2y = 7

Therefore, the resulting equation after substituting x from the second equation into the first equation is 3y - 3 - 2y = 7.

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The question is confusing

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the nth term so the sequence is going up by 0.42

0.42*63=26.46

63rd term=26.46

Rate of change is not a method that can be used to solve a system of equations.

When solving a system of equations, it is important to use a valid method to find the solution. A system of equations is a set of two or more equations with multiple variables that must be solved simultaneously. There are different methods to solve a system of equations, but some methods are more effective than others.

Elimination (Linear Equations) is a method of solving a system of equations by adding or subtracting the equations to eliminate one of the variables. This allows the remaining variable to be solved easily. Substitution is another method where one variable is solved for in one equation and then substituted into another equation to solve for the other variable. Graphing involves plotting the equations on a graph and finding the intersection point(s) of the two lines. This is the solution(s) to the system of equations.

Rate of change, on the other hand, is not a method of solving a system of equations. It refers to the ratio of the change in one variable to the change in another variable. It is a concept used in calculus and differential equations, but it is not a valid method to find solutions to systems of equations. Therefore, when solving a system of equations, it is important to use a valid method to ensure accurate results.

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Answer:

tan(X) = 1.05

Step-by-step explanation:

The triangles WXY and VTU are similar using the case AA (angle-angle).

The angle X is equal the angle T, therefore they have the same tangent value.

The tangent value is given by the opposite side to the angle divided by the adjacent side to the angle, so we have that:

\(tan(T) = UV / UT\)

\(tan(T) = 21 / 20 = 1.05\)

\(tan(X) = tan(T) = 1.05\)

When we add up all of the values that would go through the center of the clock, the value that we would get is 0

The reason for this is because the vectors would make a  circular distribution around the clock face. All of the values have equal magnitude but an opposing direction  when we compare this to the vector that is on the opposite side of the closck face.

An example of this is that :

12:00 is made of equal magnitude but the opposite direction when compared to  6:00. This would be the same fro the pairs 1:00 and 7:00, 2:00 and 8:00.

Hence all of these would cancel out and would be 0

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Answer:

B) 16

Step-by-step explanation:

If you look at the graph and go to 4 hours, you can see a dot at 14. So, in this case the nearest answer choice to 14 is 16, as it would be your best estimate if you follow the imaginary line you can draw in the middle of all that points.

The degrees of freedom for a goodness-of-fit test with 7 categories is 6, and this value is used to determine the critical value for the chi-square test statistic.

The degrees of freedom (df) for a goodness-of-fit test with k categories is calculated as (k-1), where k represents the number of categories or groups being compared. Therefore, for a goodness-of-fit test with 7 categories, the degrees of freedom would be 6.

The goodness-of-fit test is a statistical test that assesses whether a set of observed data fits a particular theoretical distribution. The test involves comparing the observed frequencies of data in each category with the expected frequencies based on the theoretical distribution. The chi-square test is commonly used for this purpose.

The degrees of freedom in a chi-square goodness-of-fit test are important because they determine the critical value of the test statistic. The critical value is compared to the calculated chi-square value to determine whether the observed data fits the theoretical distribution.

If the calculated chi-square value is greater than the critical value, then the observed data does not fit the theoretical distribution and the null hypothesis is rejected. If the calculated chi-square value is less than the critical value, then the observed data fits the theoretical distribution and the null hypothesis is not rejected.

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Answer:

Angle ADC = 116°

Step-by-step explanation:

180-52 = 128

128/2 = 64

Since both angles a and b equal 64 there no sense in half then doubling.

180-64 = 116°

Applying the definition of an isosceles triangle, the measure of angle ADC in the diagram given will be: 116 degrees.

Recall:

Given that triangle ABC is an isosceles triangle, therefore:

<BAC = <BCA (base angles)

Thus,

m<BAC = (180 - 52)/2

m<BAC = 64 degrees

m< BAC = m<BCA = 64 degrees.

Since CD and AD bisects <BAC and <BCA, therefore,

m<DAC = 64/2 = 32 degrees

m<DCA = 64/2 = 32 degrees

m<ADC = 180 - (m<DAC + m<DCA) (sum of triangle)

m<ADC = 180 - (32 + 32)

m<ADC = 116 degrees.

Therefore, applying the definition of an isosceles triangle, the measure of angle ADC in the diagram given will be: 116 degrees.

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Step-by-step explanation:

x = number of games played

c = total cost of game session

x = (c - 5)/1.25

we need to deduct the R 5 entrance fee from the total price (as this has to be paid, even if he did not pay a single game in there).

and for the remaining amount we check how often the price of 1 game fits into this renaming amount. and then we know the number of games he played.

in our specific situation c = 26.25

x = (26.25 - 5)/1.25 = 21.25/1.25 = 17

Melvin played 17 games.

Answer:

total surface area=(L×b+L×h+b×h)×2

=(3.32×5+7.2×5+3.32×7.2)×2

=153.01 (2 decimal place)

The given function is

To express the function into standard form, expand the bracket

This gives

Multiply the bracket with the minus sign

This gives

This further gives

Therefore, the equation in standard form is

The area bounded by the curves y = √(x) and y = x^2 is approximately 0.23 square units.

The area bounded by the curves y = √(x) and y = x^2 can be found by integrating both functions within the given range. To determine the points of intersection, we set the two equations equal to each other:

√(x) = x^2

Rearranging the equation, we get:

x^2 - √(x) = 0

Solving this equation will yield two points of intersection, x = 0 and x ≈ 0.59. To find the area, we integrate the difference between the two curves within this range:

A = ∫[0, 0.59] (x^2 - √(x)) dx

Evaluating this integral gives us the approximate area of 0.23 square units.

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The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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Answer:

7.

Step-by-step explanation:

Answer:

It’s 7. Algebra like the only thing in math I’m good at

Step-by-step explanation:

The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is \(w\), then the length is \(w+3\).

\(w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4\)

Answer:99904.

Step-by-step explanation:

Find the LCM of

5

10 = 2x5

15 = 3x5

20 = 2x2x5

25 = 5x5

LCM = 2x2x3x5x5 = 300

Take the smallest 5-digit number: 10000 and divide it by 300 to get 33.33. Round it off to 34 and multiply it by 300 to get 10200. Finally add 4 to 10200 to get 10204 which is the smallest final 5-digit number.

Check: 10204/5 = 2040 as quotient and a remainder of 4. Correct.

10204/10 = 1020 as quotient and a remainder of 4. Correct.

10204/15 = 680 as quotient and a remainder of 4. Correct.

10204/20 = 510 as quotient and a remainder of 4. Correct.

10204/25 = 408 as quotient and a remainder of 4. Correct.

Answer: 10204.

To get the greatest 5-digit number take 99999 and divide it by 300 to get 333.33. Round it off to 333 and multiply it by 300 to get 99900. Finally add 4 to 99900 to get 99904 which is the final greatest 5-digit number.

Check: 99904/5 = 19980 as quotient and a remainder of 4. Correct.

99904/10 = 9990 as quotient and a remainder of 4. Correct.

99904/15 = 6660 as quotient and a remainder of 4. Correct.

99904/20 = 4995 as quotient and a remainder of 4. Correct.

99904/25 = 3996 as quotient and a remainder of 4. Correct.

Answer: 99904.

The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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Answer:

both

Step-by-step explanation:

The sum of an even number of odd numbers is even, while the sum of an odd number of odd numbers is odd.

If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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Answer:

12 units square

Step-by-step explanation:

Area of a triangle = 1/2 x base x height

From inspection of the diagram, base = 4 units and height = 6 units

Therefore, area = 1/2 x 4 x 6 = 1/2 x 24 = 12 units square

Answer: 12

Step-by-step explanation:

you start by finding the base (b) which is 4 then you find the height (h) which is 6 they was you find these is that you start with (b) go to the bottom of the triangle. Then to a corner and start like a line segment you go 0 1 2 3 4, and find that it's 4 so then we go on to (h). We go all the way to the point of the triangle then down like a line segment again so 0 1 2 3 4 5 6 and you see that its 6 so you multiply 6 and 4 (6x4) which is 24 then divide by 2 (24/2) then you get your answer which is 12.

We can find several things for the given equation:

1. Magnitude of r(t):

| r(t) | = sqrt[ e^(-t)^2 + (8t^2)^2 + (3tan(t))^2 ]

2. Unit tangent vector T(t):

T(t) = r'(t) / | r'(t) |

where r'(t) = -e^(-t), 16t, 3sec^2(t)

3. Unit normal vector N(t):

N(t) = T'(t) / | T'(t) |

where T'(t) = -e^(-t), 16, 6sec^2(t)tan(t)

4. Unit binormal vector B(t):

B(t) = T(t) x N(t)

Note: "sec" stands for secant and "tan" stands for tangent.

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The equation will be 6x + 5.76 = 34.14. And each bag of apples costs will be $4.73.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Autumn buys eggs and apples at the store.

Let x be the amount of each bag of apples. Then the equation will be

6x + 5.76 = 34.14

Simplify the equation, then the value of x will be

6x = 28.38

x = $4.73

Thus, each bag of apple costs will be $4.73.

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Answer:

B.(x-y)(x+y)

Step-by-step explanation:

The factor of x² - y² can be represented by,

A.(x - y)²

INCORRECT:

Translated to (x - y)(x - y) as the exponent says it multiplied by it self

(x - y)(x - y) = x²- 2xy + y² which doesn't match

B.(x-y)(x+y)

Correct!

x times x =  x²

-y times y = -y²

x² - y²

C.(x+y)(x+y)

INCORRECT

x times x =  x²

y times y = y²

x² + y² which doesn't match as y positive here

D.2(x - y)

INCORRECT

distribute 2 so 2x - 2y which isn't the original

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This is an example of a theoretical probability.

Theoretical probability is calculated based on the possible outcomes and their likelihood without conducting any experiments or observations. In this case, the probability of getting a tail on the coin is 1/2 (since there are 2 sides) and the probability of getting a 2 on the six-sided die is 1/6 (since there are 6 sides).

To find the combined probability, you multiply the individual probabilities: (1/2) * (1/6) = 1/12, which equals approximately 8.3%.

This is an example of a theoretical probability, as it is based on the assumption of a fair six-sided die and a fair coin. The probability of getting a tail on the coin is 0.5, and the probability of rolling a 2 on the die is 1/6.

Multiplying these probabilities gives a theoretical probability of 0.5 ×1/6 = 1/12, which is equivalent to 8.3% (rounded to one decimal place).

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Properties 1, 2, 3, and 4 apply to the function y = 3x + 1.

The function y = 3x + ln(e) can be simplified to y = 3x + 1 because ln(e) = 1. Now, we can analyze the properties:

1. The function is increasing for −∞ < x < ∞, because the coefficient of x is positive (3).
2. The domain of the function is (−∞, ∞) as there are no restrictions on x.
3. The range of the function is (−∞, ∞) as the output can take any real value.
4. The function is one-to-one, as it is a linear function with a non-zero slope.
5. The graph does not have an asymptote, since it is a linear function without restrictions.
6. The function is not decreasing for −∞ < x < ∞, as it is increasing.
7. The function is not a polynomial function, because the ln(e) term is a constant that comes from the natural logarithm function, which is not a polynomial.
8. The function does not have a turning point, as it is a linear function with a constant slope.

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