A Quadratic Equation can have two solutions.O TrueFalse

The first 5 multiples of 5 is

Multiples of 5:

5, 10, 15, 20, 25

The first 5 multiples of 2 is

Multiples of 2:

2, 4, 6, 8, 10

Therefore, the LCM of 5 and 2 is 10.

Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

Answer:

25+24h=145

Step-by-step explanation:

Answer:

He invested $13500 in fund A, and $4500 in Fund B

Step-by-step explanation:

maths

Answer:

{YH, YT, BH, BT, TH, TT}

where Y = yellow, B = blue, T = turquoise

H = heads, T= tails

6 possible outcomes

Step-by-step explanation:

There are 2 independent events

Spinner which can land on one of three colors - Yellow(Y), Blue(B) and Turquoise(T)

Flipping a coin which has two outcomes Heads(H) and Tails(T)

Both events are independent of each other

So the sample space is:
{YH, YT, BH, BT, TH, TT}

Total of 6 outcomes

Answer:

3.5 gallons a week

Step-by-step explanation:

Well 64 gl Oz is basically half a gallon. So half a gallon of water a day would result in 0.5*7 (7 days in a week) and you would get 3.5 gallons.

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

x = -4, -5, -6, -7...

Step-by-step explanation:

x = all negative integers less than -3

Answer:

Step-by-step explanation:

14in + 16in + 16in = 46in

all you do is add the numbers to get the total.

48 boards

Step-by-step explanation:

length of a board = 5½ in = 11/2

Total length should be covered = 22 ft = 264 in (1ft = 12in)

total boards needed = 264 ÷11/2

= 264 × 2/11

= 24 ×2

= 48 boards

please please please please please please

Answer:

1/6

Step-by-step explanation:

1/2 multiplied by 1/3

Answer:

The second answer - 40, 10, 20, 50

Step-by-step explanation:

Range is the difference between the largest and smallest number in a data set. The biggest and smallest numbers in the data set are 50 and 10, respectively. 50 - 10 = 40.

The number of moles and the temperature remain constant, we can rearrange the equation to solve for V₁ is 2.055 cm³.

An equation is a mathematical statement that expresses the relationship between two or more variables. It typically consists of an expression that is equal to another expression, where each expression contains one or more variables. Equations are used to describe physical and chemical processes, as well as to solve various mathematical problems.

V₁ is the volume of the gas at the beginning of the process. Since the volume is tripled from 2V₁ to 3V₁ and the pressure is reduced from 300 kPa to 100 kPa, we can use the ideal gas law to calculate V₁.

The ideal gas law states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

Since the number of moles and the temperature remain constant, we can rearrange the equation to solve for V₁:

V₁ = (nRT/P₁)

where P₁ is the initial pressure of 300 kPa.

Plugging in the values, we get:

V₁ = (nRT/300)

V₁ = (1 mol * 8.314 J/mol K * 298 K/ 300 kPa)

V₁ = 2.055 cm³

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Answer:

The volume will be 64 times larger.

Explanation:

When you multiply two single dimensions, such as length and width, the units will change from units to units squared (example: 2 ft * 2 ft = 4 ft^2). Similarly, When you multiply three single dimensions the units will change from units to units cubed (example: 2 ft * 2 ft * 2 ft = 8 ft^3). You can use the exponents as a trick to solve this type of question. For example, in this case, volume means that you are multiplying three single dimensions. Therefore, the end result will be units cubed. If each dimension is multiplied by four, you can cube the factor to find how many times larger the volume will be: 4^3 = 64.

TLDR: Since there are three dimensions, multiply 4 by itself three times to get the answer: 4 * 4 * 4 = 64.

In case I explained it badly, here is a more mathematical method to find the answer:

The formula for volume:

V = l * w * h

When you multiply each dimension by 4:

V = (4 * l) * (4 * w) * (4 * h)

Rearrange with the Commutative Property of Multiplication:

V = (4 * 4 * 4) * (l * w * h)

Simplify:

V = 64 * l * w * h

Therefore, the volume is 64 times greater.

Answer:

The value of the account will be $5,628

Step-by-step explanation:

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have    

substitute in the formula above  

therefore

The value of the account will be $5,628

Answer:

answer is w= 3

Step-by-step explanation:

12=9w-5w

12=4w

w= 12/4

w= 3

Answer:

w=3

Step-by-step explanation:

1. 12=9w-5w

2. 12=4w

3. 12/4=4w/4

4. w=3

Step-by-step explanation:

angles 1 and 3 are supplementary angles (together they have 180°), because together they make sure that line f is a straight line, and there are no segments of the line angling "off". a straight line can be always seen as prolonged diameter of a circle. each side represents a half-circle with 180°.

a line intersecting 2 parallel lines has the same intersection angles with both lines, as parallel lines perfectly copy each other's behavior and attributes except for the y-intercept.

the angles of intersecting lines are the same in both sides of any of the 2 lines, they are just left-right mirrored.

therefore,

angle 1 = 82° = angle 2

angle 3 = 180 - angle 1 = 180 - 82 = 98° = angle 4

Answer:

  ∠1 = 82°

  ∠3 = 98°

Step-by-step explanation:

You want the measures of angles 1 and 3 where a transversal crosses parallel lines and one of the angles is marked as 82°.

The "alternate interior angles theorem" tells you that the alternate interior angles created by a transversal crossing parallel lines are congruent. Hence angle 1 is congruent to the one marked 82°.

  ∠1 = 82°

The angles of a linear pair are supplementary. Angles 1 and 3 form a linear pair, so ...

  ∠3 = 180° -∠1 = 180° -82°

  ∠3 = 98°

__

Additional comment

"Interior" angles are between the parallel lines. "Exterior" angles are outside the parallel lines. "Alternate" angles are on opposite sides of the transversal. "Consecutive" or "same-side" angles are on the same side of the transversal. (Angles 2 and 4 are "consecutive".)

"Corresponding" angles are in the same direction from the point of intersection of the transversal with the parallel lines. In this figure, angle 2 and the one marked 82° are corresponding. Corresponding angles are congruent. If you remember that, and that vertical angles are congruent, and linear pairs are supplementary, you can figure out all of the other relationships.

In the end, when the lines are parallel, all of the acute angles are congruent, and all of the obtuse angles are congruent. The acute and obtuse angles are supplementary. The angle relations themselves are pretty simple; the rest is a lot of vocabulary.

Answer:

Step-by-step explanation:

To find Jonas's total score after 9 holes of golf, we add up all the individual scores:

+2 + 1 - 1 + 0 + 0 - 1 + 3 + 4 - 1 = 7

Jonas's total score after 9 holes is 7.

Since the total score is positive (above zero), Jonas's score is above par.

Answer:

Standard form:

−x − 7 = 0

Factorization:

−(x + 7) = 0

Solutions:

x = −7

Step-by-step explanation:

hope it helps

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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Answer:

Thus, the equation of line for point (-1, 2)  is y = x + 3.

Step-by-step explanation:

Answer:

The equation of the line is y = x + 3.

Step-by-step explanation:

A line that is parallel to y=x+4 and passes through the point (-1,2) will have the same slope as y=x+4. The slope of y=x+4 is 1, so the equation of the line will be in the form y = mx + b, where m=1. To find b, we can plug in x = -1 and y = 2 into the equation and solve for b.

y = mx + b

y = 1 * -1 + b

y = -1 + b

b = y + 1

b = 2 + 1

b = 3

SEE BELOW FOR THE CORRECT FORMAT OF THE QUESTION

Answer:

(a) \(\mathbf{C_{(t)} =\dfrac{I}{F} [ 1- e \dfrac{-Ft}{v}+ C_oe \dfrac{-Ft}{v} ]}\)

(b) \(\mathbf{\lim_{t \to \infty} C_t = \dfrac{I}{F}[1-0+ 0 ] \ = \dfrac{I}{F}}\)

(c) T = 6.02619 years

(d) T = 431.593 years

Step-by-step explanation:

(a)

\(\dfrac{dC}{dt} = -\dfrac{F}{v}C + \dfrac{I}{v} \\ \\ \\ \dfrac{dC}{dt} + \dfrac{F}{v}C = \dfrac{I}{v}\)

By integrating the factor of this linear differential equation ; we have :

\(= e \int\limits \dfrac{F}{v}t \\ \\ \\ = e \dfrac{Ft}{v}\)

\(C* e \frac{Ft}{v}= \int\limits \dfrac{I}{v}*e \dfrac{Ft}{v} dt\)

\(C* e \frac{Ft}{v}= \dfrac{I}{v}* \dfrac{e \frac{Ft}{v} }{F/v}+ K\)

\(C* e \frac{Ft}{v}= \dfrac{I}{v}* \dfrac{V}{F} e \dfrac{Ft}{v} + K\)

\(Ce \dfrac{Ft}{v} = \dfrac{I}{F} \ * \ e \dfrac{Ft}{v} + k \ \ \ \ (at \ t = 0 \ ; C = C_o)\)

\(C_o = \dfrac{I}{F} e^o + K\)

\(K = C_o - \dfrac{I}{F}\)

\(C_{(t)} = [ \dfrac{I}{F}e \dfrac{Ft}{v}+ C_o - \dfrac{I}{F}] e\dfrac{-Ft}{v}\)

\(C_{(t)} =\dfrac{I}{F} [ e \dfrac{Ft}{v} * e \dfrac{-Ft}{v}+ C_oe \dfrac{-Ft}{v} - 1* e \dfrac{-Ft}{v}]\)

\(\mathbf{C_{(t)} =\dfrac{I}{F} [ 1- e \dfrac{-Ft}{v}+ C_oe \dfrac{-Ft}{v} ]}\)

(b)

\(\lim_{t \to \infty} C_t = \dfrac{I}{F}[1-e^{- \infty} + C_o e^{- \infty} ]\)

since  \((e^{- \infty} = 0)\)

\(\mathbf{\lim_{t \to \infty} C_t = \dfrac{I}{F}[1-0+ 0 ] \ = \dfrac{I}{F}}\)

(c)

V = 458 km³   and F = 175 km³  , I = 0

\(\dfrac{dC}{dt} = - \dfrac{-175}{458}C\)

\(= \int\limits \ \dfrac{dC}{C} = - \dfrac{175}{458}\int\limits dt\)

\(In (C_{(t)}) = - \dfrac{175}{458} t + K\)

\(C_{(t)} = e \dfrac{-175}{458}t + K\)

Let at time t = 0 \(C_{(t)}} = C_o \to C_o = e^{0+k} = e^K\)

\(C_{(t)} = e \dfrac{-175}{458}t\)

Now at time t = T ; \(C_{9t)} = \dfrac{C_o}{10}\)

\(\dfrac{C_o}{10} = C_o e \dfrac{-175}{458}T \to \dfrac{1}{10} = e \dfrac{-175}{458}T\)

\(In ( \dfrac{1}{10}) = \dfrac{-175}{459}T\)

\(- In (10) = \dfrac{175}{458}T\)

\(T = \dfrac{458}{175} In (10)\)

T = 6.02619 years

(d) V = 12221 km³

F = 65.2 km³/ year

\(\mathbf{T = \dfrac{v}{F}In (10)}\)

\(T = \dfrac{12221}{65.2}In (10)\)

T = 431.593 years

An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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Answer:

a. 3.65

Check:

3.65 x 20 = 73

b. 9.7

Check:

9.7 x 30 = 291

Step-by-step explanation:

Answer:5.6

Step-by-step explanation:

28 divided by 5 is 5.6

Answer: $33.6

Step-by-step explanation: 28(.20) will give us our $5.6 discount. now add that on top of 28.

Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.

We have two numbers a and b with different sign.

Let's say that a is negative and b positive.

We know that the absolute value of a is divisible by the absolute value of b.

|a|/|b|

Then we have that |a| ≥ |b|

An example of two numbers that meet these conditions are:

a = -10

b = 2

Where:

|-10|/|2|  = 10/2 = 5

Now, the product between the integers will give a large negative number, in this case:

-10*2 = 20

and the quotient will give a smaller, in absolute value, negative number:

-10/2 = -5

Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).

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Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed