May I get help with my math?

Answer:

2

90

Step-by-step explanation:

54 / 3 = 18

so 18 licks per 1 lollipop.

18 + 18 = 36 (aka 2 lollipops).

18 x 5 = 90 (equivalent to 5 lollipops).

Answer:

36/2

90/5

Step-by-step explanation:

54/3=18 36/2=18 and 90/5= 18

Answer: f(0)=40/x

Step-by-step explanation:

f(n)=2xf(n-1)-50

f(1)=2xf(1-1)-50

f(1)=2xf(0)-50

30=2xf(0)-50

2xf(0)=80

f(0)=80/(2x)

f(0)=40/x

According to the solving the LHS = RHS this shows the equality symmetric property.

52 = 52.

LHS is an informal shorthand again for the left-hand side of the an equation in mathematics. Likewise, RHS refers to the right-hand side. Because equality is symmetric, both sides share the same value, expressed differently.

Given the "equality" (=) relation and a = b, if b = a holds true for all a and b, equality is said to be symmetric. For all of a and b, the assertion is TRUE (no counterexample can be found). This is known as the equality symmetric property.

-21-17+25+65=52

Proving that both LHS = RHS :

-21-17+25+65=52

-21-17+25+65=52

- 38 + 90 = 52

52 = 52

So,

LHS = RHS

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This simplifies to

[tex]|(6-x)-9|\\\\\boxed{|-x-3|}[/tex]

Using the normal distribution, it is found that:

a) There is a 0.1867 = 18.67% probability that a day requires more water than is stored in city reservoirs.

b) A capacity of 415 million gallons is needed.

c) An amount of 236 million gallons of water use is exceeded with 95% probability.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 310, \sigma = 45[/tex]

For item a, the probability is one subtracted by the p-value of Z when X = 350, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (350 - 310)/45

Z = 0.89

Z = 0.89 has a p-value of 0.8133.

1 - 0.8133 = 0.1867.

There is a 0.1867 = 18.67% probability that a day requires more water than is stored in city reservoirs.

For item b, the capacity should be the 99th percentile, which is X when Z = 2.327, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

2.327 = (X - 310)/45

X - 310 = 45 x 2.327

X = 415. (rounded)

A capacity of 415 million gallons is needed.

For item c, the amount of water use is the 5th percentile, which is X when Z = -1.645, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

-1.645 = (X - 310)/45

X - 310 = -1.645 x 45

X = 236.

An amount of 236 million gallons of water use is exceeded with 95% probability.

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The operation used in the problem is Multiplication property of equality and the value of x is -14

-3.5 = x/4

- 3.5 × 4 = x

-14 = x

Check:

-3.5 = x/4

- 3.5 = -14 / 4

-3.5 = -3.5

Therefore, the operation used in the problem is Multiplication property of equality and the value of x is -14

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The capacity of the given container is 6.3 liters.

So, 4(3/5) + 1(7/10):

Therefore, the capacity of the given container is 6.3 liters.

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Answer:

A

Step-by-step explanation:

x + 2 + [ 4x - [tex]\frac{x^2+6x+8}{x+4}[/tex] ] ← factorise the quadratic on the numerator

= x + 2 + [ 4x - [tex]\frac{(x+4)(x+2)}{x+4}[/tex] ] ← cancel (x + 4) on numerator/denominator

= x + 2 + (4x - (x + 2)

= x + 2 + 4x - x - 2 ← collect like terms

= 4x

Based on the calculations, the value which closest to the mean of the distribution is equal to: B. 18 inches.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

Z = (x - μ)/δ

Where:

If 15 percent of the rainbow trout are longer than 15 inches, then we have:

P(x > 15) = 0.15

From the z-table, the z-value which corresponds to a mean of 0.15 is given by:

z-value = -1.036

Substituting the given parameters into the formula, we have;

Z = (x - μ)/δ

-1.036 = (15 - μ)/2.4

-1.036 × 2.4 = 15 - μ

-2.4864 = 15 - μ

μ = 15 + 2.4864

Mean, μ = 17.4864

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Complete Question:

The distribution of lengths of rainbow trout from a certain river are normally distributed with a standard deviation of 2.4 inches. it 15% of the rainbow trout are longer than 15 inches, which of the following is closest to the mean of the distribution?

A. 26 inches

B. 18 inches

C. 30 inches

D. 33 inches

E. 34 inches

Answer:

  700 mL

Step-by-step explanation:

Lena wants to know how much of solution B she uses to obtain a mixture of solution A with 20% alcohol and solution B with 17% alcohol that contains 400 mL less of solution A, and has 179 mL of alcohol in it.

Let b represent the number of mL of solution B in the mixture. Then (b-400) will be the number of mL of solution A. The number of mL of alcohol in the mix is ...

  0.20(b -400) +0.17b = 179

Simplifying the equation gives ...

  0.37b -80 = 179

  0.37b = 259 . . . . . . add 80

  b = 700 . . . . . . . . divide by 0.37

Lena uses 700 mL of solution B (17%) for the resulting mixture to have 179 mL of pure alcohol.

__

Additional comment

That means there will be 300 mL of solution A, and the contributions from each solution are ...

The simplification of  (39x⁵z⁴)⁰ • 18x²y  is 18x²y.

Making anything simpler is known as simplification. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler.

To simplify an equation:

Rewrite the given equation using the commutative property of multiplication.

18(39x⁵z⁴)⁰x²y

Use the power rule (xy)ⁿ=xⁿyⁿ for distributing the exponent.

18(39⁰(x⁵)⁰(z⁴)⁰)x²y

Anything raised to 0 is 1.

18(1(x⁵)⁰(z⁴)⁰x²y

Multiply (x⁵)⁰(x⁵)⁰ by 11.

18((x⁵)⁰(z⁴)⁰)x²y

Multiply the exponents in (x⁵)⁰.

18(x⁰(z⁴)⁰)x²y

Multiply x⁰ by x² by adding the exponents.

18(x²(z⁴)⁰)y

Simplify 18(x²(z⁴)⁰)y

18x²y

Therefore, simplification of given equation is 18x²y.

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Answer:

Turn the 2 1/2 into the improper fraction which is 5/2. Now you can do 5/2 divided by 1/2. when diving turns the 1/2 to 2/1 and multiply. so 5/2 x 2/1= 1.25. 1.25 as a fraction is 1 1/4

The two integers where the value of square root of 11 lies is between 3 and 4.

It should be noted that the information is to find the two integers where the value of square root of 11 lies.

It should be noted that the square root of 11 is 3.33.

It should be noted that 3.33 lies between 3 and 4.

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Between which two integers is the value of square root of 11.

The measure of m∠MSP as represented in the image attached is 74 degrees.

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

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right angle.

From the image shown:

m∠MSN + m∠MSP = 180° (sum of angles in a straight line)

106 + m∠MSP = 180°

m∠MSP = 74°

The measure of m∠MSP as represented in the image attached is 74 degrees.

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Answer:

if you want to multiply its 1.83 x 47 = 86.01

Step-by-step explanation:

Using Venn sets, the number of elements in the sets are given as follows:

For this problem, we consider that the sets A, B and C are the sets represented in the problem, and use the information given to find the number of elements in each set.

For the set A, we have that:

Hence 12 elements belong only to set A and 10 belong to both A and C, hence set A has 22 elements.

For the set B, we have that:

In total, there are 31 elements, of which:

31 - 31 = 0, hence set B has only 1 element, that is also present in set C.

For the set C, we have that:

Hence it has 10 elements that are also in set A, and 9(the intersection with B is included in C - A as n(AnB) = 0) are not, hence set C has 19 elements.

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Answer:

x=7

7-7/7-6=0

0/1=0

Zero divided by anything=0

Answer:1,3

Step-by-step explanation: it is reflecting over the x-axis, not the y-axis. when answering these questions, keep in my what axis you're working with. hope this helps.

The number of expert trails in the park is 15.

Percentage can be described as the fraction of an amount expressed as a number out of hundred. The sign :used to represent percentages is %.

The first step is to determine the total number of intermediate and expert trails

Intermediate and expert trails = (1 - percentage of beginner trails) x total number of trails

(1 - 0.375) x 48

0.625 x 48= 30

The second step is to divide the total number of intermediate and expert trails by 2 since they are an equal number.

30 / 2 = 15

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Answer:

c) 5

Step-by-step explanation:

Solving for the value of x,

→ 3x + 9 = 24

→ 3x = 24 - 9

→ x = 15/3

→ [ x = 5 ]

Hence, option (c) is correct.

You need to deposit $1459.667 every month;

Let the amount needed to be deposited each month be 'x' ;

Monthly interest rate, i = 5%/12 = 0.4167% = 0.004167

Total amount  = $600,000

Total time (in months) = 20 × 12 = 240 years;

Therefore, according to question;

600,000 = x . [(1 + i)ⁿ -1]/i

600,000 = x. [(1 + 0.004167)²⁴⁰ - 1]/0.004167

x = 1459.667

The additional amount you must repay over and above the principal borrowed is called interest. This is how lending institutions turn a profit.

Typically, interest is expressed as an annual percentage of the principal.

Monthly interest is the interest that is paid every month or after every 30 days.

We compute the monthly interest rate by dividing the annual interest rate by 12 to calculate the monthly interest on a loan or investment.

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Answer:

Hello,
If you want f(x) read this.

Step-by-step explanation:

I am going to use Horner's method.

[tex]\begin {array}{c|c|c|c}&x^2&x&1\\---&--&--&--\\&4&5&-9\\x=2&&8&26\\---&--&--&--\\&4&13&\boxed{17}\\x=2&&8&42\\---&--&--&--\\&4&\boxed{21}&59\\x=2&&8\\---&--&--&--\\&\boxed{4}&29\\\end {array}\\\\\\F(x-2)=4(x-2)^2+21(x-2)+17\\\\So\ \boxed{F(x)=4x^2+21x+17}\\\\Proof:\\\\F(x-2)=4(x-2)^2+21(x-2)+17\\\\\\=4x^2-16x+16+21x-42+17\\\\=4x^2+5x-9\\[/tex]

I hope this is what you want.

Answer: $72

Step-by-step explanation:

Oddly worded question but if I understand it correctly we need to find the marked down price and subtract $360 from it.

It is 10% off so an easy way to do the math is to find what 90% of $480 dollars is.

.90 * 480 = $432

Then we subtract $360 from this sale price.

$432 - $360 = $72

14  is the perimeter of the rectangle .

What does a rectangular 's perimeter mean?

The answer provided below has been developed in a clear step by step manner.

Step: 1

Given,  A(x) = x(14-x)

Comparing with A = lw , we have

Length , l = x and

Width , w = 14 - x

Step: 2

We know,

Perimeter of rectangle ,

p = 2( l + w )

p = 2 ( x + 14 - x )

p = 28

Hence,

Perimeter of rectangle = 14

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Based on the equation for gravitational force, the value of radius (r) is equal to r = √(GM₁M₂/F).

A gravitational force can be defined as a universal force of attraction which acts between two (2) physical objects, especially by pulling them together.

Mathematically, the gravitational force between two (2) planetary objects is given by this formula:

F = GM₁M₂/r²

Where:

Making r the subject of formula, we have:

Fr² = GM₁M₂

Divide both sides by F, we have:

r² = GM₁M₂/F

Taking the square root of both sides, we have:

r = √(GM₁M₂/F)

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The measure of AM and BM from the given coordinate points are 8.37 units respectively

The formula for calculating the distance between coordinate points is expressed according to the equation

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate points A (-3, -12) and M(-5, -4). The measure of the distance AM is expressed as:

AM = √(-4+12)²+(-5+3)²

AM = √(8)²+(-2)²

AM =  √70

AM = 8.37 units

Similarly;

Given the coordinate points B(-7, 4). and M(-5, -4). The measure of the distance AM is expressed as:

BM = √(-4-4)²+(-5+7)²

BM = √(-8)²+(2)²

BM =  √70

BM = 8.37 units

Hence the measure of AM and BM from the given coordinate points are 8.37 units respectively

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the value of y for the given circle will be 1 / 50 ( approx).

We are given a unit circle.

So, we get that:

centre = (0, 0)

Equation of the circle will be

x² + y² = 1

Now, we have a point (- 17 / 20, y)

Substituting the values in the equation, we get that:

(- 17 / 20)² + y² = 1

343 / 400 + y² = 1

y² = 57 / 400

y = 1 / 50 ( approx)

Therefore, we get that, the value of y for the given circle will be 1 / 50 ( approx).

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Answer: top one is 111 dont know bottom

Step-by-step explanation:

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