Work out the surface area of the cylinder where the radius is 7 and the height is 12

Answer:

fractions are cross multiplied in two situations:

division:

for e.g what is [tex]\frac{3}{2}[/tex]÷[tex]\frac{7}{5}[/tex]

to solve this expression we cross-multiply fractions:

=15/14

In equation:

for eg [tex]\frac{8x}{7}[/tex] = [tex]\frac{2}{9}[/tex]

to solve this we cross multiply:

8x(9)=2(7)

72x=14

x=14/72

In equation cross multiplication can only be carried out if denominator is same for e.g [tex]\frac{2}{1}[/tex]+ [tex]\frac{8x}{7}[/tex] = [tex]\frac{4}{7}[/tex] cannot be cross multiplied until denominator of 8x and 2 is same

Plss mark as brainliest

By cross multiplying, you can simplify the equation and solve for the unknown variable.

Cross multiplication is a technique used when solving equations involving fractions. It is typically used when you have a proportion or an equation with fractions, and you want to eliminate the denominators and solve for the unknown variable.

Cross multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and vice versa. This technique is useful for simplifying equations and solving for the unknown variable.

You should cross multiply with fractions when you have an equation in the form:

a/b = c/d

To cross multiply, you would multiply ad (product of the numerators) and bc (product of the denominators) and set them equal:

ad = bc

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The minimum number is 9 GB to make the unlimited cheaper.

A gigabyte is a specific unit of data that's equal to about 1 billion bytes of data. The term gigabyte is typically used to describe the amount of stored data or the capacity of a storage device. For example, an HDD might offer 500 GB of raw capacity but is currently storing only 200 GB of data.

Given that,

A tablet data provider offers different plans for data usage

The plan Raul chose has a monthly fee of $29.99 per month for 5 GB of data with an additional cost of $10 for each gigabyte over 5.

Assume that he will use n gigabyte per month

The monthly fee is $29.99 for 5 GB

∵ The cost per GB after the first 5 GB is $10

∵ The number of GB whose cost is $10 is (n - 5)

∴ His monthly fees = 29.99 + 10 (n - 5) ⇒ current plan

The fees of the unlimited is $59.99 per month

∵ We need the unlimited cheaper than current plane

Let the current plan greater than the unlimited plan

∴ 29.99 + 10 (n - 5) > 59.99

Subtract both sides by 29.99

∴ 10 (n - 5) > 30

Divide both sides by 30

∴ n - 5 > 3

Add both sides by 5

∴ n > 8

Hence, The minimum number is 9 GB to make the unlimited cheaper.

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In the Arabic system, the value of a digit is based on the position of the specific digit.

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Using percentage we can calculate that 81 students did not take French.

In mathematics, a number or ratio that is expressed as a fraction of 100 is referred to as a percentage. Although the abbreviations "pct" and "pc" are also often used, the percent symbol "%" is the one that is most frequently used. A % is a number that has neither established units of measurement nor dimensions.

The percentage can be calculated by taking the value and dividing it by the total value, then multiplying the result by 100. using the formula (Value/Total Value) × 100% to calculate percentages.

Let the total number of students be x.

Now 91% of this students is equal to 819.

Now using the properties of percentages we can write:

91% of x = 819

or, x = 900

Number of students who did not take French = 900 - 819 = 81

Hence using percentages we can say that 9% or 81 students did not take French.

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The value of the distance LM in which M is the midpoint between L and N is 64 units.

What is midpoint?

In mathematics. the term midpoint states the middle line of the line segment joining the two sides of the triangle make the third side parallel to the line segment and it also bisect the third side.

According to the question, the point M is the midpoint between L and N. The given parameters are: LM = 12x-8; MN = 14; and LN = 6x + 30

Using standard midpoint property, the distance LN can be written as:

LN = LM + MN ⇒ 6x + 30 = 12x-8 + 14

Taking variables terms one side, we get

6x = 36 ⇒ x = 6

Therefore,

LM = 12x-8 ⇒ 12(6) - 8 = 72 - 8 = 64

Hence, the value of the distance LM in which M is the midpoint between L and N is 64 units.

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The times that the ball is 34 feet high to the nearest tenth of a second is equal to 4.61 and 0.39 seconds.

In order to determine the time or times for this ball at a height of 34 feet, we would simply substitute the value of the height into the function h(t) as follows;

h(t) = -16t² + 80t + 5

34 = -16t² + 80t + 5

Re-arranging the equation, we have:

16t² - 80t + 34 - 5 = 0

16t² - 80t + 29 = 0

Next, we would solve the quadratic equation by using the quadratic formula:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-(-80)\; \pm \;\sqrt{-80^2 - 4(16)(29)}}{2(16)}\\\\x = \frac{80\; \pm \;\sqrt{6400 - 1856}}{32}\\\\x = \frac{80\; \pm \;\sqrt{4544}}{32}[/tex]

x = (80 ± 8√71)/32

x = (80 + 8√71)/32  and  x = (80 - 8√71)/32

x = 4.61 and 0.39 seconds.

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In order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.

As given,

Consider two linear equations

a₁ x +b₁ y +c₁=0     _(1)

a₂ x +b₂ y +c₂=0    _(2)

Now to eliminate x variable equate coefficient of x with opposite sign

Multiply (1) by a₂ and (2) by a₁ and subtract to use elimination method

a₁ a₂ x + b₁ a₂ y + c₁ a₂=0

a₁ a₂ x +a₁ b₂ y + a₁ c₂=0

-          -            -          

0x + (b₁ a₂ -a₁ b₂)y +(c₁ a₂-a₁ c₂)=0

Therefore, in order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.

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The standard form of the given equation of the ellipse according to the given properties is [tex]b^{2}[/tex] = ± 4√2.

Here the foci are given which are ( 0,3) and to the eight (0, ±3) and the vertices are (0,13) and  (0, ±1), so we have to find the standard form these values to put these values in a formula which is given below

The formula we are using in this is to form an equation :

[tex]\frac{(x-k)^{2} }{a^{2} }[/tex] + [tex]\frac{(y-k)^{2} }{b^{2} }[/tex] = 1

[tex]\frac{x^{2} }{a^{2} }[/tex] + [tex]\frac{y^{2} }{b^{2} }[/tex] = 1

[tex]\frac{x^{2} }{36}[/tex] + [tex]\frac{y^{2} }{32}[/tex] = 1

After solving the equation given above

we get [tex]b^{2}[/tex] + 4 = 36

Subtract  - 4 on both sides then we get

[tex]b^{2}[/tex]  + 4 - 4 = 36 - 4

[tex]b^{2}[/tex] = 32

[tex]b^{2}[/tex] = ± 4√2

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The cost for making the container is  $28. 27

From the information given, we have that;

We also have the following deductions;

The properties of a square prism are;

The cost for aluminum = 10($1.57)

expand the bracket

The cost for aluminum = $10. 57

The cost for steel = 6($2.95)

The cost for steel = $17. 7

Total cost for the container = $10. 57 +  $17. 7

Total cost for the container = $28. 27

Hence, the cost is $28. 27

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Answer:

242975

Step-by-step explanation:

you rewrite as a fraction

you calculate the sum

Answer:

The length is 6 ft

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

36 = s^2

Take the square root of each side

sqrt(36) = sqrt(s^2)

6 =s

The length is 6 ft

Answer:

6 ft

Step-by-step explanation:

We know that the formula to find the area of a square is :

Area = a² ( length × width)

According to the question they've already given the area of the square as 36ft².

So, to find the the measure of a one side, let the in unknown measure of a side be a.

And now, using the formula let us find the value of a ( length of a one side).

[tex] \sf \: Area = a² \\ \sf 36 = a² \\ \sf \: \sqrt{36} = a \\ \sf6ft = a[/tex]

‌

Answer:

y = - [tex]\frac{1}{5}[/tex] x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (50, - 10) ← 2 points on the line

m = [tex]\frac{-10-0}{50-0}[/tex] = [tex]\frac{-10}{50}[/tex] = - [tex]\frac{1}{5}[/tex]

the line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - [tex]\frac{1}{5}[/tex] x + 0 , that is

y = - [tex]\frac{1}{5}[/tex] x ← equation of line

Answer:

I think options BCDE. There is an angle presented in the picture. There are parallel lines. Also skew lines and line segments.

Step-by-step explanation:

Hope it helps! =D

The tree diagram of the outcomes and the number of possibilities is added as an attachment

The given parameters are:

Red balls = 6

Blue balls = 4

This means that the total number of balls is

Total number of balls = Red balls + Blue balls

Substitute the known values in the above equation

So, we have the following equation

Total number of balls = 6 + 4

Evaluate the sum in the above equation

So, we have the following equation

Total number of balls = 10

From the question, we understand that the selection is without replacement, and the number of selections is 2

This means that the sample space in total selections is

{RR, RB, BR, BB}

Where

B represents blue and R represents red

Next, we use the sample space {RR, RB, BR, BB} to make the required tree diagram

See attachment for the tree diagram

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The length of line segment FG is 10 units.

So, the length of FG:

So, insert x = 5 in 2x:

Therefore, the length of line segment FG is 10 units.

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Each relationship should be matched with the correct description as follows:

Direct variation can be defined as a type of proportional relationship in which a variable is directly proportional to another variable.

An indirect variation can be defined as a type of proportional relationship in which a variable is inversely proportional to another variable. This ultimately implies that, an indirect variation represents two variables that are inversely proportional to each other.

In conclusion, a joint variation describes a situation in which a variable depends on two other variables which share a directly proportional relationship.

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Mean time = 142 minutes

One of the the most common expression for the mean of a statistical distribution with random variables is the average of all the terms. The mean of  any given data can be found out by adding all numbers in the data set and then dividing that by the number of values.

First calculate the mid point of the time interval :

(15+17)/2=16

(17+19)/2 = 18

(19+21)/2= 20

(21+23)/2= 22

Multiply each time mid point with respective frequency :

16*5=80

18*12= 216

20*7= 140

22*6= 132

Adding this and dividing by the total number of times that is 4:

= (80+216+140+132)/4

= 568/4

Mean time =142 minutes

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Answer:

y = - 4x + 5 ---1

y = 3x - 16 ---2

Substitute 1 into 2:

- 4x + 5 = 3x - 16

7x = 21

x = 3

Substitute x into 1:

y = - 4(3) + 5

= - 7

For the exponential function f(x) = 3(0.5)^x, we have that:

An exponential function is modeled according to the rule given below:

[tex]y = ab^x[/tex]

In which the parameters are described as follows:

For this problem, the rule of the exponential function is given by:

y = 3(0.5)^x.

Hence the parameters are:

a = 3, b = 0.5.

Then:

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Answer:

decay; (0,3)

Step-by-step explanation:

According to the statement the number of girls is significantly high. This was because of 50 birth, 49 are girls.

Objective judgments are those that are based on or employ facts that can be observed or verified, particularly by scientific methods, and are independent of one's own thoughts, feelings, or preconceptions.

From the information, births are randomly selected and of the 50 births, 49 are girls. This illustrates that the number of girls as significantly high. The have a percentage of (49/50) × 100= 98%.

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Assume that births are randomly selected and of the 50 births, 49 are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.

Based on the information provided, the number of girls in the births cannot be categorized as significantly high, significantly low, or neither significantly low nor significantly high, solely through subjective judgment.

The description of "significantly high" or "significantly low" typically requires statistical analysis and comparison to a reference point or expected value. Without knowing the total number of births or having a reference point for the expected proportion of girls in the births, it is not possible to determine whether the number of girls is significantly high or low.

The term "significantly" in statistics usually involves assessing whether an observed value deviates from an expected value by a statistically significant margin.

Subjective judgment alone cannot accurately assess whether the number of girls in the births is significantly high or low. To determine significance, a statistical analysis would involve calculations such as calculating the expected proportion of girls, performing hypothesis testing, and assessing the p-value to make an informed judgment.

Without these quantitative measures, it is not possible to make an accurate subjective determination of the significance of the number of girls in the births.

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The contrapositive statement of "If it does not have four legs, then it is a fish." is  "If it is not a fish, then it has four legs" .Option C

A contrapositive statement is simply defined as a law or rule obtained by contradicting the conclusion and hypothesis of a statement.

It includes the exchange of both the hypothesis and conclusion of a particular conditional statement before negating both the hypothesis and conclusion.

It is also known for the combination of a converse and an inverse statement.

The hypothesis and conclusion are switched or interchanged

A contrapositive statement is represented as;

x y is equivalent to y ~x

Given the statement:

"If it does not have four legs, then it is a fish."

The contrapositive statement would be;

If it is not a fish, then it has four legs.

We can see that the hypothesis and conclusion were interchanged accordingly.

Hence, the statement is "If it is not a fish, then it has four legs"

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Answer: C: If it is not a fish, then it has four legs.

Step-by-step explanation: Hope that helped!

The function's y-intercept is $60.

The equation y = 1/10x+60 can be used to express the function.

y| y 60 is the range.

The equation for the annual cost in dollars, y, based on x, the quantity of game tokens purchased for an arcade member, is represented by the following statements:

A) The function's y-intercept is $60.

B) The equation y = (1/10)x + 60 can be used to express the function.

C) y ≥ 60 is the range.

Typically, the slope-intercept form of the equation of a line is expressed as;

y = mx + c

Where;

the slope is m.

C is the y-intercept.

The input variable or domain is called x.

The output variable or range is called y.

As of right now, we're informed that a single membership costs $60 annually. This is the cost before any input, in this case, the purchase of game tokens.

It follows that the y-value intercept is $60.

According to what we've been told, members can purchase Game tokens for a discounted price of $1 for every 10 tokens. This implies;

y/x = 1/10

Thus, slope = 1/10

Putting this function's equation in slope intercept form now yields

y = (1/10)x + 60

The quantity of game tokens purchased is now limited to a minimum of 0. Thus;

Therefore, Domain; x ≤ 0

The price cannot be less than $60 since x ≤ 0.

Therefore, Range; y ≥ 60

Complete Question: A video game arcade offers a yearly membership with reduced rates for gameplay. A single membership costs $60 per year. Game tokens can be purchased by members at the reduced rate of $1.00 per 10 tokens. Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers. The slope of the function is $1.00. The y-intercept of the function is $60. The function can be represented by the equation y = y equals StartFraction 1 Over 10 EndFraction x plus 60.X + 60. The domain is all real numbers. The range is {y| y ≥ 60}.

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Answer:

she cannot go on the field trip.

Step-by-step explanation:

Day 1 = 5, done = 3, remaining = 2.

Day 2 = 2 + 5, done = 6, remaining = 1

Day 3 = 1 + 5, done = 2, remaining = 4

Day 4 = 4 + 5, done = 4, remaining = 5

Day 5 = 5 + 5, done = 3, remaining  = 2 + 5

Day 6 = 2 + 5 + 5, done = 7, remaining = 5

Day 7 = 5 + 5, done = 1, remaining = 4 + 5

Day 8 = 4 + 5 + 5, done = 3, remaining = 1 + 5 + 5

Day 9 = 1+ 5+ 5+ 5, done = 2, remaining = 4+5+5

Day 10 = 4+5+5+5, done = 10(maximum assignment done assumed), remaining = 4 + 5

At the end of day 10, she had 9 remaining assignments, so she cannot go on the field trip.

The quadratic equation is [tex]-3/5x^2-2/3x-\frac{1+2\sqrt{2}}{3}[/tex]

Quadratic Equation:

A quadratic function is a function of degree two.

The general form of the quadratic equation is

x² + (sum of roots)x + Product of roots.

Given,

Here we have the roots,

[tex]\frac{-1-\sqrt{2} }{3} ,\frac{-1+\sqrt{2} }{3}[/tex]

And the coefficient with x² is equal to -3/5.

Through the given details we have to find the quadratic equation.

To find the equation we have to identify the sum of roots and the product of roots.

So, the sum of roots is,

[tex]= > \frac{-1-\sqrt{2} }{3} +\frac{-1+\sqrt{2} }{3}[/tex]

[tex]= > \frac{-1 }{3} +\frac{-1 }{3}\\= > \frac{-2}{3}[/tex]

Now the product of roots is,

[tex]= > \frac{-1-\sqrt{2} }{3} \times\frac{-1+\sqrt{2} }{3}[/tex]

[tex]= > \frac{1-\sqrt{2}-\sqrt{2}-2 }{3}=\frac{-1-2\sqrt{2} }{3}[/tex]

So, the quadratic equation is,

[tex]= > -3/5x^2-2/3x-\frac{1+2\sqrt{2}}{3}[/tex]

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Answer:

Try 20.

Step-by-step explanation:

To round 19.5 to the nearest whole number consider the tenths’ value of 19.5, which is 5 and equal or more than 5. Therefore, we have to round up: the whole number part of 19.5, 19, increases by 1 to 20, and the decimal point and all digits (.5) are removed.

19.5 rounded to the nearest whole number = 20

Answer:

1. 596,681

2. 956,816

3. 96,001

4. 69,596,168

5. 1958

6. 95,596,618

Step-by-step explanation:

1. 500,000 + 90,000 + 6000 + 600 + 80 + 1 = 596,681

2. 900,000 + 50,000 + 6000 + 800 + 10 + 6 = 956,816

3. 90,000 + 6,000 + 0 + 0 + 1 = 96,001

4. 60,000,000 + 9,000,000 + 500,000 + 90,000 + 6.000 + 100 + 60 + 8 = 69,596,168

5. 1,000 + 900 + 50 + 8 = 1958

6. 90,000,000 + 5,000,000 + 500,000 + 90,000 + 6,000 + 600 + 10 + 8 = 95,596,618

I hope this helps!

Step-by-step explanation:

yeah

Answer:

Step-by-step explanation:

Use the distance formula.

Distance:

[tex]\Rightarrow \sf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}[/tex]

y₂=(-7)

y₁=(-3)

x₂=4

x₁=8

[tex]\sf{\sqrt{\left(4-8\right)^2+\left(-7-\left(-3\right)\right)^2}}[/tex]

Solve.

Use the order of operations.

PEMDAS stands for:

Do parentheses first.

(4-8)=-4

[tex]\sf{\left(-4\right)^2+\left(-7-\left(-3\right)\right)^2}[/tex]

-7-(-3)=-7+3

-7+3=-4

[tex]\sf{\left(-4\right)^2+\left(-4\right)^2}[/tex]

Do exponents.

[tex]\sf{(-4)^2=4^2=4*4=16}[/tex]

Then, you add.

16+16

[tex]\Rightarrow \boxed{\sf{32}}[/tex]

Therefore, the correct answer is C. 32.

On Mondays at noon, the switchboard in a Minneapolis legal firm receives an average of 5.5 incoming calls. Consequently, X's standard deviation is 2.35 calls.

The current personnel can handle up to six calls in an hour, according to experience.

A Poisson distribution with an average number of calls  of 5.5 on Mondays around lunchtime can be used to model the scenario that is being given.

Thus, the following equation represents the standard deviation for the number of calls received, X:

2.35 calls make up the standard deviation of X.

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====================================================

Reason:

The cube root undoes the cubing operation.

It's similar to how the square root undoes squaring.

Your calculator should have a cube root button, or an nth root button. If not, then you can type in 1331^(1/3)

The exponent of 1/3 is the same as a cube root.

The result of 1331^(1/3) is 11

11^3 = 11*11*11 = 1331

Interpretation: You have a box that is 11 cm by 11 cm by 11 cm. The volume is 11^3 = 1331 cubic cm.

As you can see, the cube root is useful if you know the volume and want to work backwards to determine the side length of the cube.

the cube root of 1331 = ∛(11 × 11 × 11) = 11.

The square root of 1331 is 36.48287.