PLEASE HELP FAST A Cylindrical Jar Has A Radius Of 6 Inches And A Height Of 10inches. The Jar Is Filled (2024)

Answer:

w to the power of 3 or w^3

Step-by-step explanation:

For example, plug in a number for the variable given, and in this case, I used the number 2. When using the number 2, the question would become 2 * 2 * 2. It would be simplified as 2 to the power of 2 to the power of 3. That's how I got the answer of w to the power of 3.

For the given graph, the gradient of the given blue line in the graph is equal to 2.

As given in the question,

For the given graph,

Consider two pairs of coordinates on the blue line of the given graph,

( x₁ , y₁ ) = ( 2, 2 )

( x₂ , y₂ ) = ( 3, 4 )

Gradient is nothing but slope of the line

Formula to calculate the gradient of the given blue line of the graph is given by:

Gradient = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value in the formula we get,

Gradient = ( 4 - 2 ) / ( 3 - 2 )

= 2 / 1

= 2

Therefore, for the given graph, the gradient of the given blue line in the graph is equal to 2.

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The simple interest would be $84.

What is simple interest?

Calculating the interest on a loan using simple interest is quick and simple. Simple interest is calculated by dividing the principle by the daily interest rate and the number of days between installments.

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest.

Interest = (Principle x Rate x Time in years)/100

= (1200 x 3.5 x 2)/100

= 84

The simple interest would be $84.

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Answer:

-160 I think so

Step-by-step explanation:

(2)4-168

8-168

-160

According to the Pythagoras theorem, the value of the other leg is, 15.7 cm

Pythagoras theorem:

Pythagoras theorem defines that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Given,

One of the legs of a right triangle measures 3 cm and its hypotenuse measures 16 cm.

Here we need to find the measure of the other leg and round off it to nearest tenth.

Though the given question, we know that the value of

Hypotenuse = 16 cm

one leg = 3cm,

Then let us consider the length of the other leg as x.

So, according to the Pythagoras theorem,

It can be calculated as,

=> hypotenuse² = one leg² + other leg²

=> 16² = 3² + x²

=> 256 = 9 + x²

Here we need the value of x, so it can be rewritten as,

=> 247 = x²

=> x = √247

When we take square root for 247, then we get the value of x as,

=> x = 15.716

When we round off it to the nearest tenth then we get the value of another leg as 15.7 cm.

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To factorize this,the answer is [tex]\frac{1}{3} x^{4} y^{2} (\frac{1}{4} y^{} -\frac{1}{3} x)[/tex]

What is Factorization?

Factorization is when you break a number down into smaller numbers that, when multiplied together, give you that original number.

The expression above can only be determined by looking at the common factors and using it to answer the question. [tex]\frac{1}{12} x^{4}y^{3} -\frac{1}{9}x^{5}y^{2}[/tex]

To factorize the fractions by looking at the common factor between the both[tex]\frac{1}{3} (\frac{1}{4} -\frac{1}{3} )[/tex]To factorize the indices by looking at the common factor[tex]x^{4}y^{2} (y-x)[/tex]

So, to factorize the expression above[tex]\frac{1}{3} x^{4} y^{2}(\frac{1}{4} y-\frac{1}{3} x)[/tex]

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Question:

Write a linear function f with f (- 1/2) = 1 and f (0) = -4

The linear function f with f (- 1/2) = 1 and f (0) = -4 would be ; y = -5x -4.

What is a linear equation?

A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form

y = mx + c

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

We are asked to write the linear function f with f (- 1/2) = 1 and f (0) = -4

Let the equation in variables x and y can be written in the form y = mx + c

So f (- 1/2) = 1

this gives, 1 = -1/2m+c -----------eq 1

Also f (0) = -4

This gives -4 = c. --------------eq2

Now Putting the value of c in the equation in eq1 we get m=0.

So 1 = -1/2m+c

1 = -1/2m - 4

m = -5

Then we get;

y = -5x -4.

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The 99% confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems is (0.571, 0.489).

In the given question we have to find the confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems.

Gallup surveyed 1,004 american adults.

So n=1004

The results showed that 53% of respondents blamed barack obama a great deal or a moderate amount.

So p=53% = 0.53

The 99% confidence interval for the proportion of all american adults who blame barack obama a great deal or a moderate amount for u.s. economic problems is

CI=p±z× √{p(1−p)}/n

Now finding the value of z for 99% confidence interval.

The z critical value at 99% confidence interval is 2.575.

Now putting the value

CI=0.53±2.575× √{0.53(1−0.53)}/1004

CI=0.53±2.575× √(0.53*0.47)/1004

CI=0.53±2.575× √0.2491/1004

CI=0.53±2.575× √0.00025

CI=0.53±2.575× 0.0158

CI=0.53±0.0407

CI=(0.53+0.0407, 0.53−0.0407)

CI=(0.571, 0.489)

Hence, the 99% confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems is (0.571, 0.489).

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Answer:

XZ = 21 cm

Step-by-step explanation:

since the triangles are congruent then corresponding sides are congruent, so

LN = XZ , that is

5x - 19 = 2x + 5 ( subtract 2x from both sides )

3x - 19 = 5 ( add 19 to both sides )

3x = 24 ( divide both sides by 3 )\

x = 8

then

XZ = 2x + 5 = 2(8) + 5 = 16 + 5 = 21 cm

Answer:

90 m

Step-by-step explanation:

because the helicopter is 60 m up and the submarine is 30 m under so combining the two helps us identify the difference between the two objects

The formula used in the situation of sending the emails is distributive property of multiplication and simple addition formula

How to determine the formula to be used

information gotten from the question

you send e-mails to tell your four friends about the school fair

Then those people send e-mails to four more people

From the first statement the number of emails sent is 4

The second statement says that the 4 persons sent to 4 more people hence each person sent one email

The total number of email sent is solved by

= 4 emails sent by you + 1 email sent by each friend * 4 (distributive property)

= 4 emails sent by you + 4 emails sent by friends

= 8 emails

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Answer: x=7°

Combine like terms and divide.

8x+5°+3x+8°=90°

(8x+3x)+(5°+8°)=90°

11x+13°=90°

-13° -13°

11x=77°

[tex]\frac{11x}{11} =\frac{77}{11}[/tex]

x=7°

The probability that the equipment will operate for at least 200 hours without failure is [tex](1-e^{-2} )^2[2e^-2+1][/tex].

Given:

mean = 1/100

Let X = the number of components that fail before 200 hours . The X has a binomial distribution n = 3 and p = 1 – e^-2.

probability p = 3/2[tex]p^{2} (1-p)[/tex] + 3/3 [tex]p^{3}[/tex].

= 3([tex]1-e^-2)^2[/tex][tex]e^-2[/tex] + ([tex]1-e^-2)^3[/tex]

= [tex](1-e^-^2)^2[3e^-^2 - e^-^2+1][/tex]

= [tex](1-e^{-2} )^2[2e^-2+1][/tex]

Therefore the probability that the equipment will operate for at least 200 hours without failure is [tex](1-e^{-2} )^2[2e^-2+1][/tex].

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Answer:

Hi

Step-by-step explanation:

so the question is asking what is 2/5 of 150

if 150 is able to evenly be split up into 5 even parts we can the add two of those parts to get our answer.

does 150 split up into 5 even parts??

hmmm you probably are thinking, 15 does divide by 5 evenly into 3 parts, so we now know that 150 also splits up into 5 even parts of 30 :)

2 time 30 = 60

so there is how to figure out the answer and , the answer 60 :)

The DE is the ray with end point E and the ray GA and ray DF will not intersect

From the given diagram

Consider the ray DE,

The starting point of the ray DE = D

Then the end point of the ray DE = E

The D is the starting point and E is the end point of the ray DE

Therefore DE is the ray with end point E

Consider the ray GA and DF, those rays are not in contact and going opposite direction, therefore it will not intersect

The GA and DF will not intersect

Hence, the DE is the ray with end point E and the ray GA and ray DF will not intersect

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Answer: 15 minutes

Step-by-step explanation:

Let's make a proportion

16 miles - 20 minutes

12 miles - х minutes

Hence,

[tex]\displaystyle\\x=\frac{12(20)}{16} \\\\x=\frac{3(4)(4)(5)}{4(4)} \\\\x=3(5)\\\\x=15\ minutes[/tex]

Answer:

Line A and C

Step-by-step explanation:

The perpendicular slope of another line is the negative reciprocal of the other slope.

For example, we have line [tex]x_{1}[/tex].

y = x

The line that is perpendicular to it is:

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

Lets tranform all of these equation to slope intercept form:

y = mx+b

M is the slope or how much the y value increases every time the x value increases by one. b is the y-intercept or when x=0.

Divide 2 on both sides to simplify line a into slope intercept form.

[tex]\frac{2y}{2} = \frac{8x+10}{2}[/tex]

Simplify.

y = 4x + 5

Now it is in slope-intercept form. Slope of 4 and y-intercept of 5.

Line B

Isolate y on both sides by subtracting 3x on both sides.

6y + 3x - 3x = 12 - 3x

6y = 12 - 3x

Divide 6 on both sides.

[tex]\frac{6y}{6} = \frac{-3x+12}{6}[/tex]

Simplify.

y = -1/2x + 2

Now it is in slope-intercept form. Slope of -1/2 and y-intercept of 2.

Line C

Divide both sides by 8.

[tex]\frac{8y}{8} = \frac{-2x-16}{8}[/tex]

Simplify.

y = -1/4x - 2

Line A has a slope of 4. Line C has a slope of -1/4x. Line C is the negative reciprocal of Line A as multiplying Line A by -1 and flipping the fraction simple gets you Line C. (and vice versa).

Answer:[tex]x=\frac{5}{7} -\frac{y}{7}[/tex]

Step-by-step explanation:

The equation that can represent the perimeter of the given rectangle is

6 + 2L = 30, option c is correct.

Given,

width of rectangle = 3 cm

length of rectangle = L

perimeter of rectangle = 30 cm

equation of perimeter of rectangle = 2 × (L + W)

By substituting the values of width and perimeter we can get the equation,

perimeter = 2 × (L + W)

=> 30 = 2 × (L + 3)

=> 30 = 2L + 6

=> 6 + 2L = 30

Therefore, the equation of the perimeter of a rectangle is 6 + 2L = 30.

The value after multiplying the given mixed fractions is 7/6 .

In the question ,

it is given that ,

the two mixed fraction are given as [tex]-2\frac{1}{4}[/tex] and [tex]-1\frac{1}{3}[/tex] ,

we need to find their value after multiplication .

we first convert the mixed fractions into improper fraction ,

So ,

[tex]-2\frac{1}{4}[/tex] = (-2×4+1)/4 = (-8+1)/4 = -7/4

and

[tex]-1\frac{1}{3}[/tex] = (-1×3+1)/3 = (-3+1)/3 = -2/3

So , the product of -7/4 and -2/3 is written as

= -7/4 × -2/3

= (-7 × -2)/(4 × 3)

= 14/12

after simplifying ,

= 7/6

Therefore , The value after multiplying the given mixed fractions is 7/6 .

The given question is incomplete , the complete question is

Find the value after multiplying the given mixed fraction [tex]-2\frac{1}{4} \times -1\frac{1}{3}[/tex] .

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The rate, in inches per hour, at which the rain fell during that time on Friday is 3/8 inches per hour.

Time for which the rain fell = 2 hours

The total amount of rain that fell = 3/4 inch

So, in 2 hours, the amount of rain that fell = 3/4

In 1 hour, the amount of rain that fell = 3/8 inches

Hence, The rate, in inches per hour, at which the rain fell during that time on Friday = 3/8 inches per hour.

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Step-by-step explanation:

I suspect you mean

11³ × 11 = ?

11³ ÷ 11 = ?

11³ × 11 = 11⁴

11³ ÷ 11 = 11²

why ?

11³ = 11×11×11

11³ × 11 = 11×11×11 × 11 = 11×11×11×11 = 11⁴

11³ ÷ 11 = 11×11×11 / 11 = 11×11 × 1 = 11×11 = 11²

The number of dimes and nickels that Johnny has are 6 and 3 respectively.

How to calculate the value?

The following should be noted:

Nickel = 5 cent = 0.05

Dime = 10 cents = 0.10

Let the number of nickels = n

Let the number of dimes = 2n

Total worth = $0.75

This will be illustrated as:

0.05(n) + 0.10(2n) = 0.75

0.05n + 0.20n = 0.75

0.25n = 0.75

Divide

n = 0.75/0.25

n = 3

Number of nickels = 3

Number of dimes = 2n

= 2 × 3

= 6

Number of dimes = 6

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a)An expression for the value of the account at the end of three years will be:

$1000[tex]x^3[/tex] +300[tex]x^2[/tex] + 500x

b) The amount in the account at the end of three years if the interest rate is 4% will be:

= 1000 × [tex]1.04^3[/tex] + 300 × [tex]1.04^2[/tex] + 500 × 1.04

= $ 1969.344

Given,

In the question:

A growth factor of x = 1+r. $1,000 is deposited at the start of the first year,

An additional $300 is deposited at the start of the next year, and $500 at the start of the following year.

To find the:

a) Write an expression for the value of the account at the end of three years in terms of the growth factor x.

b) Determine (to the nearest cent) the amount in the account at the end of three years if the interest rate is 4%.

Now, According to the question:

a) Growth factor x = 1 + r

Based on the given conditions:

An expression for the value of the account at the end of three years will be:

$1000[tex]x^3[/tex] +300[tex]x^2[/tex] + 500x

b) The amount in the account at the end of three years if the interest rate is 4% will be:

1 + 4% = 1 + 0.04 = 1.04

= 1000 × [tex]1.04^3[/tex] + 300 × [tex]1.04^2[/tex] + 500 × 1.04

= $ 1969.344

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Area of the base 'B' of a given rectangular prism is equal to 12 ft².

As given in the question,

For the given rectangular prism ,

Shape of the base is rectangle,

Length of the base of a rectangular prism = 4 ft

Width of the base of a rectangular prism = 3ft

Area of the base of a rectangular prism is given by

= ( length of the base ) × ( Width of the base)

Substitute the value of length and width of the base of the rectangular prism we get,

= ( 4 × 3 ) ft²

= 12 ft²

Therefore, area of the base 'B' of given rectangular prism is equal to 12 ft².

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Answer:

Step-by-step explanation:

Check the picture below.

notice the point, reflected over the x-axis and then shifted upwards, notice the parabola mentioned above, nowhere near it.

n(x) is a vertical dilation of scale factor 4 followed by a translation of 2 units upwards of the parent linear function.

How is n(x) related to the parent function?

The parent linear function is:

f(x)= x

And the function n(x) is:

n(x) = 4x + 2

If first we apply a vertical dilation of scale factor 4 to the parent linear function, we will get:

n(x) = 4*f(x)

And if now we apply a translation of 2 units upwards, then we get:

n(x) =4*f(x) + 2

Replacing f(x) by x we get:

n(x) = 4*x + 2

And we returned to n(x), so these are the transformations that define our function in terms to the parent function.

And the slope 4 means that each month 4 books are added, the y-intercept 2 means that she starts with 2 books.

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Inequality: 23x + $8 ≤ $110

Inequality:

$110 = Amount of money they have

$8 = Parking Cost

$23 = Cost of tickets per person

23x + $8 ≤ $110

23x=$110-8

23x=$102

In mathematics, a courting among expressions or values that aren't the same as every other is referred to as 'inequality. This term is used to examine the significance, wide variety, and intensity of two values or expressions. Equations and inequalities are both mathematical sentences fashioned by using referring to two expressions for every difference. In an equation, the two expressions are deemed equal's shown with the aid of the symbol =.

whereas in inequality, the two expressions aren't necessarily the same that's indicated by means of the symbols: >, <, ≤ or ≥. Inequality is critical to poverty due to the fact the relative role of people or families in society is taken into consideration as a crucial aspect of their welfare.

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The Bar graph, Line graph and Report displays the counter in decimal format.

Selecting a counter displays information about that counter's collected data as a chart type. The bar graph, line graph and report displays the current value of each performance counter in decimal format.

Line graph: - Line graph, also known as a line chart or line plot, is commonly drawn to show how something changes over a period of time. scientists and engineers use these graphs to understand and derive meaning from large chunks of data.

Bar graph: - This are the pictorial representation of data, in the form of vertical or horizontal rectangular bars, where the length of bars are proportional to the measure of data. They are mostly used in business and finance, but they can also be found in other contexts. This can be used to show the distribution of different heights of students in a class.

Report: - A report is a document that presents information in an organized format for a specific audience and purpose. All the skills and the knowledge of the professionals are communicated through reports. Reports help the top line in decision making. A rule and balanced report also helps in problem solving.

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