If 3s = t + 5 and se = 4, then t =

Answer:

3 days

Step-by-step explanation:

hiking = every 12 days = 1 day

swimming = every 9 days = 1 day

today = he did both exercise = 1 day

find:

how many days from now will you go both hiking and swimming again?

= 3 days

Answer:

(6,-4)

Step-by-step explanation:

That’s where they intersect

Answer:

1/8

Step-by-step explanation:

Given:

z = xy

z = 0

y = x

x =1

To find:

volume of the solid bounded by the graphs of the equations

Solution:

Compute integral of volume in the first octant:

[tex]Volume = V = \int\limits^1_0\int\limits^x_0 {z} \, dydx[/tex]

[tex]\int\limits^1_0\int\limits^x_0 {z} \, dydx = \int\limits^1_0\int\limits^x_0 {xy} \, dydx[/tex]

[tex]= \int\limits^1_0x\int\limits^x_0 {y} \, dydx[/tex]

= [tex]\int\limits^1_0[/tex] x y²/2 |ˣ₀  dx

= 1/2  [tex]\int\limits^1_0[/tex] x y² |ˣ₀  dx

= 1/2  [tex]\int\limits^1_0[/tex] x (x²-0²) dx

= 1/2  [tex]\int\limits^1_0[/tex] x³dx

=  [tex]\frac{1}{2} \frac{x^{3+1} }{3+1}[/tex] |¹₀

= (1/2) (x⁴/4) |¹₀

= 1/8 x⁴ |¹₀

= 1/8 (1⁴ - 0⁴)

= 1/8 (1)

V = 1/8

Step-by-step explanation:

A rational number is any number that can be divided (written as a fraction) by.

Examples: 1/2, 3, 5/9

*Irrational numbers: cannot be divided

Examples: π, 3.53465374765768957965...

Answer: A rational number is a number that can be expressed as the quotient (i.e. ratio or fraction) of two integers.

Step-by-step explanation: Integers are rational since any integer, n ,can be written as n/1 )Rational numbers are numbers that can be expressed as fractions whereas irrational numbers cannot be expressed as fractions A rational number is a number that terminates or ends. As in a perfect square like: 144; 36; 625 etc.More specifically, a rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero. 1.37, for instance, is rational because it can be expressed as 137 / 100.It is any whole number even if it's a negative number Any number that can be expressed as a fraction is a rational number whereas irrational numbers can't be expressed as a fractions.In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Since q may be equal to 1, every integer is a rational number.

Answer:

≈ 11.66 units

Step-by-step explanation:

Given points:

To find:

The distance between two points is calculated by formula:

Answer is ≈ 11.66 units

Answer:

[tex]y = -4ln(x^3 - 9x + 3) + C\\[/tex]

Step-by-step explanation:

Given the differential equation [tex]\frac{dy}{dx} = \frac{36-12x^2}{x^3-9x+3}\\ \\[/tex], we will use the variable separable method to solve the differential equation as shown;

[tex]\frac{dy}{dx} = \frac{36-12x^2}{x^3-9x+3}\\ \\dy = \frac{36-12x^2}{x^3-9x+3}dx\\ \\\\\\integrate \ both \ sides\\\\\int\limits dy = \int\limits\frac{36-12x^2}{x^3-9x+3}dx\\ \\\\using\ substitution\ method \ to \ solve \ RHS\\\\\int\limits\frac{36-12x^2}{x^3-9x+3}dx\\\\let \ u = x^3-9x+3; du/dx = 3x^2-9\\\\dx = du/3x^2-9\\\\\int\limits\frac{36-12x^2}{x^3-9x+3}dx\\\\ = \int\limits\frac{36-12x^2}{u}*\frac{du}{3x^2-9} \\\\= \int\limits\frac{12(3-x^2)}{u}*\frac{du}{3(x^2-3)}\\\\[/tex]

[tex]= \int\limits\frac{-12(x^2-3)}{u}*\frac{du}{3(x^2-3)}\\\\= -4\int\limits \frac{du}{u}\\ = -4lnu + C\\= -4ln(x^3 - 9x + 3)[/tex]

The differential solution becomes:

[tex]y = -4ln(x^3 - 9x + 3)[/tex][tex]+C[/tex]

Step-by-step explanation:

[tex] \frac{3}{4} = \frac{w}{28}[/tex]

[tex] \frac{3}{4} = \frac{w}{4 \times 7} [/tex]

[tex]3 = \frac{w}{7} [/tex]

[tex]w = 21[/tex]

Answer:

7.5/2 = 3.75

3.75/5 = .75

he gets .75 pounds of candy

Complete Question

It has been found from experience that the mean breaking strength of a particular brand of thread is 9.72 oz with a standard deviation of 1.4 oz. Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?

Answer:

At both [tex]\alpha = 0.05[/tex] and  [tex]\alpha = 0.01[/tex]  the conclusion is that the thread has become inferior

Step-by-step explanation:

From the question we are told that

      The population  mean is  [tex]\mu = 9.72 \ oz[/tex]

      The standard deviation is  [tex]\sigma = 1.40\ oz[/tex]

       The sample size  is  n =  36

        The sample mean is  [tex]\= x = 8.93 \ oz[/tex]

The  null hypothesis is  [tex]H_o : \mu = 9.72 \ oz[/tex]

The  alternative hypothesis is  [tex]H_a : \mu < 9.72 \ oz[/tex]

     Generally the test statistics is mathematically represented as

             [tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>        [tex]t = \frac{ 8.93 -9.72}{ \frac{ 1.4 }{ \sqrt{36} } }[/tex]

=>      [tex]t = -3.33[/tex]

So  

    The  p-value obtained from the z- table is  

            [tex]p-value = P( Z < -3.39) = 0.00034946[/tex]

So at  [tex]\alpha = 0.0 5[/tex]

     [tex]p-value < \alpha[/tex]

So we reject the null hypothesis,hence we conclude that the thread has become inferior

  So at  [tex]\alpha = 0.0 1[/tex]

     [tex]p-value < \alpha[/tex]

So we reject the null hypothesis,hence we conclude that the thread has become inferior

Answer:

m=1

Step-by-step explanation:

just expand the brackets using the distributive law and proceed to isolate x

Answer:

Step-by-step explanation:

Volume of the water is equivalent to the volume of a cylinder = πr²h where;

r is the radius of the cylindrical tank

h is the height of the water

Given parameters

radius of the cylindrical tank r = 1feet = 12 inches

height of the water inside the tank = 6inches

Volume of the water = πr²h

Volume of the water  = π(12)²*6

Volume of the water  = π*144*6

Volume of the water  = 864π in³

Hence the volume of the water is 864π in³

Answer:

[tex]\huge \boxed{\mathrm{2714.34 \ in^3 }}[/tex]

Step-by-step explanation:

The volume formula for a right cylinder is given as :

[tex]V=\pi r^2 h[/tex]

[tex]V \Rightarrow \sf volume[/tex]

[tex]h \Rightarrow \sf height[/tex]

[tex]r \Rightarrow \sf radius[/tex]

The radius 1 feet ⇒ 12 inches

The height of the water in the cylinder is 6 inches

[tex]V=\pi (12)^2 (6)[/tex]

[tex]V= 2714.336053...[/tex]

The volume of the water is 2714.34 cubic inches.

[tex] \frac{13}{(x + 2)} = \frac{8}{(x - 1)} [/tex]

By cross - multiplication

[tex] \implies13 \times (x - 1) = 8 \times (x + 2)[/tex]

[tex] \implies13x - 13 = 8x + 16[/tex]

[tex] \implies13x - 8x = 16 + 13[/tex]

[tex] \implies5x = 29[/tex]

[tex] \implies \: x = \frac{29}{5} [/tex]

[tex] \implies \: x = 5.8[/tex]

Answer:

d. A hypothesis is derived from the evidence at hand; the evidence produces the hypothesis.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The evidence suggests that a certain hypothesis is tested for its reliability. The hypothesis is accepted or rejected on the basis of its underlying evidences.

Answer:Ten dollars per hour

Step-by-step explanation:

50 hour =500 dollars

1 hour = ?

Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.

?=(1 hour×500 dollars)/50 hour

?= 500 dollars/50

?=10 dollars per hour

Answer:

75

Step-by-step explanation:

X/5=15

X=15*5

X=75

Ans.75

Answer:

-8

Step-by-step explanation:

slope is change in y divided by change in x

slope = (12-36)/(11-8)

slope = -24/3

slope = -8

Answer:

32 1/2 inches

Step-by-step explanation:

Why this is true is the line is in the middle of 32 and 33 witch means it is 32 1/2

Answer:

< E = 42.1° is the answer

Answer:

The expected value and standard deviation of your total winnings are -$0.081 and $3 respectively.

Step-by-step explanation:

We are given that the game of European roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green.

Gamblers can place bets on red or black. If the ball lands on their color, they double their money. If it lands on another color, they lose their money.

Let the probability of the ball landing on red slot = [tex]\frac{18}{37}[/tex]

The probability of the ball landing on black slot = [tex]\frac{18}{37}[/tex]

The probability of the ball landing on green slot = [tex]\frac{1}{37}[/tex]

Now, it is stated that Gambler can place bets only on the red or black slot, so;

The probability of winning the bet will be = [tex]\frac{18}{37}[/tex]

and the probability of losing the bet will be = [tex]\frac{18}{37}+\frac{1}{37}[/tex]

                                                                        = [tex]\frac{19}{37}[/tex]

If the gambler wins he gets $3 and if he loses he will get -$3.

So, the expected value of gambler's total winnings is given by;

E(X) = [tex]\sum X \times P(X)[/tex]

        = [tex]\$3 \times \frac{18}{37} + (-\$3 \times \frac{19}{37})[/tex]

        = [tex]\$3 \times (-\frac{1}{37})[/tex]  = -$0.081

Now, the standard deviation of gambler's total winnings is given by;

S.D.(X) = [tex]\sqrt{(\sum X^{2} \times P(X))-(\sum X \times P(X))^{2} }[/tex]

So, [tex]E(X^{2})=\sum X^{2} \times P(X)[/tex]

                 = [tex]\$3^{2} \times \frac{18}{37} + (-\$3^{2} \times \frac{19}{37})[/tex]

                 = [tex]\$9 \times (\frac{18}{37}+\frac{19}{37})[/tex]  = $9

Now, S.D.(X) = [tex]\sqrt{\$9-(-\$0.081)^{2} }[/tex]

                     = [tex]\sqrt{8.993}[/tex]  = $2.99 ≈ $3

Hence, the expected value and standard deviation of your total winnings are -$0.081 and $3 respectively.

Answer:

3 to 8 = 6 to 16 = 30 to 80

Step-by-step explanation:

Each time you multiply both numbers of a ratio by the same number, you get an equivalent ratio.

3 to 8

Multiply both 3 and 8 by 2:

6 to 16

Multiply both 3 and 8 by 10:

30 to 80

3 to 8 = 6 to 16 = 30 to 80

Answer:

Mean=80

Median=120

Mode=61

Step-by-step explanation:

Mean= sum of the data ÷ number of the data

= 720÷9

= 80

Median= the middle number

= 120

Mode= the number which is repeated

= 61

Hope it helps you :)

Answer:

n=11 is the answer.

Step-by-step explanation:

19+n=30

In order to find the value of n subtracting 19 on both sides

19-19+n=30-19

n=11 is your answer

Hope it will help you :)

Answer:

Table 1 and 2 represent a function

Step-by-step explanation:

Given

Table 1

x 5 10 11

y 3 9 15

Table 2

x 5 10 11

y 3 9 9

Table 3

x 5 10 10

y 3 9 15

Required

Determine which of the tables represent that y is a function of x

For a relation to be a function; the x values must be unique.

In other words, each x value must not be repeated;

Having said that;

Analyzing Table 1

Table 1

x 5 10 11

y 3 9 15

Note that the x rows are unique as no value were repeated;

Hence, Table 1 is a function

Table 2

x 5 10 11

y 3 9 9

Note that the x rows are unique as no value were repeated;

Hence, Table 2 is a function

Table 3

x 5 10 10

y 3 9 15

Note that the x rows are not unique because 10 was repeated twice;

Hence, Table 3 is not a function

Answer:

9

Step-by-step explanation:

The absolute value of -3 is |-3|, which in turn is 3.  Thus we have

3(3), or 9.  The fourth answer choice is the correct one.

Answer:

Step-by-step explanation:

Answer:

The length of the first side of a triangle = 6 m

The length of the second side of a triangle = 6 m

The length of the third side of a triangle = 9 m

Step-by-step explanation:

The complete question is: Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of the triangle is 21 m. What are the lengths of the three​ sides?

We are given that two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of the triangle is 21 m.

Let the common length of the two sides of a triangle be 'x m'.

So, the length of the first side of a triangle = x m

the length of the second side of a triangle = x m

the length of the third side of a triangle = (2x - 3) m

As we know that the perimeter of a triangle is given by;

The Perimeter of a triangle = Sum of all sides of a triangle

                   21 m = x + x + (2x - 3)

                   21 m = 2x + 2x - 3

                   21 m = 4x - 3

                   4x = 21 + 3

                   4x = 24 m

                    x = [tex]\frac{24}{4}[/tex] = 6 m

Hence, the length of the first side of a triangle = x = 6 m

the length of the second side of a triangle = x = 6 m

the length of the third side of a triangle = (2x - 3) = 12 - 3 = 9 m

Answer:

6.2 kilograms/ deciliters

Step-by-step explanation:

megagrams to kilograms

1 megagram = 1000 kilograms

hectoliter to deciliter

1 hectoliter = 1000 deciliter

Using conversion factors

6.2megagrams      1000 kilgrams         1 hectoliter

---------------------- * ----------------------- * -------------------------

hectoliter                  1 megagram       1000 deciliters

Canceling like terms

6.2 kilograms/ deciliters

Answer:

[tex]\Large \boxed{\mathrm{6.2 \ kilograms/deciliter}}[/tex]

Step-by-step explanation:

1 megagram = 1000 kilograms

6.2 megagrams = x (kilograms)

Cross multiplying.

x = 1000 × 6.2

x = 6200

6.2 megagrams = 6200 kilograms

1 hectoliter = 1000 deciliters

[tex]\displaystyle \sf \frac{6200 \ kilograms}{1 000\ deciliters }[/tex]

[tex]\displaystyle \frac{6200}{1000} =6.2[/tex]

6.2 megagrams/hectoliter = 6.2 kilograms/deciliter

Answer:

-1

Step-by-step explanation:

|-1 |= 1

-|-1| = 1

Answer:

-1

Step-by-step explanation:

The question should not be "find the absolute value". Finding the absolute value is part of this problem, but it is not the entire problem.

Think of absolute value of a number as the distance from that number to zero on the number line. A distance is not negative. It is only positive or zero. For example, the number 4 is 4 units from zero on the number line. Then the absolute value of 4 is 4. |4| = 4. Similarly, the number -4 is also 4 units from zero on the number line, so the absolute value of -4 is also 4. |-4| = 4. The absolute value of zero is zero since zero is at a distance of zero units from zero. An absolute value can only be zero or positive. It is never negative.

In your problem, you need to deal with the absolute value of -1 first. -1 is 1 unit from zero on the number line, so the absolute value of -1 is 1.

|-1| = 1

Your problem has one extra step which is the negative outside the absolute value.

-|-1| = -1

Answer:

Proved

Step-by-step explanation:

Given

Integers: a and b

Where [tex]a < b[/tex]

Required

Show that [tex]a^n < b^n[/tex]

We start by writing out the given expression

[tex]a < b[/tex]

Then, take nth root of both sides

[tex]a^n < b^n[/tex]

For instance:

Let a = 2,  b = 2 and n = 4

First

Since [tex]2 < 3[/tex]

Then

[tex]2^4 < 3^4[/tex]

[tex]16 < 81[/tex]

Proved

This is so for all positive values of a,b and n where a < b

Answer:

The correct option (c) "is held together by ionic bonds".

Step-by-step explanation:

Table salt is NaCl. It is a combination of Sodium and Chlorine.

There is 1 valance electron in sodium. Its electronic configuration is 2,8,1

The electronic configuration of Chlorine is 2,8,7. It means that it needs 1 electron so that its octet gets completed.

Na transfers one electron to Cl. It becomes Na⁺. Cl gains one electron From Na. It becomes Cl⁻.

As a resuslt, Na⁺ and Cl⁻ forms. Both Na and Cl are ions. They held together by ionic bonds.

Answer:

Step-by-step explanation:

If one pre calculus class lasts 1.75hours

32 class meetings will last 32*1.75 = 56 hours

Hence the number of hours that the precalculus meets in the semester is 56 hours. In order to know the number of minutes the same class meet, we will convert 56 hours to minutes.

Since 1 hour = 60 minutes

56hours = (56*60) minutes

56hours = 3360 minutes

Expressing 3360 in scientific notation means expressing it in exponential form.

3360 = 3.36 * 10³ minutes

Hence the precalculus class meets for  3.36 * 10³ minutes in a semester.