Give the quotient in simplest form: 5/9 divided by 1/3

Answer:

A.

✔ Aida’s Work

Step-by-step explanation:

E 2021

Answer:

I forget about these theorems and such, but pretty sure this is the Hypotenuse - Leg congruence theorem.

Step-by-step explanation:

As the name infers, you need the length hypotenuse and the length of one leg of each triangle. This is because you can use Pythagorean to find the last side, turning it into SSS congruence theorem. You also need them both to be right triangles for pythag to work.

Answer:what 2 triangles

Step-by-step explanation:Happy new year btw

Answer:

c:65

Step-by-step explanation:

The area of a triangle can be found almost the same way as a sqaure L*W (Length times width). Except the area of a triangle is one half that of a square, so it is \(\frac{1}{2}\)L*W. The length is 13 and the width is 10, so 13*10=130, than 1/2 that is 65.

An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

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Answer:

c

Step-by-step explanation:

C because your looking for y*48 which is 48y. It is c because (y*40)+(y*8) gives you 40y+8y which equals 48y.

Answer:

C.

Step-by-step explanation:

(y•40)+(y•8)

40y+8y

48y

48•y

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

This triangle is congruent under the ASA congruence postulate as the two corresponding parts of this triangle which are angles are equal and there is one equal side . The equal side is the common side of both these triangles .

Answer:

Step-by-step explanation:

5 1/4

Answer:là

5

với số dư

1

.

5

1

4

Step-by-step explanation:

Answer:

The first graph (topmost graph)

Step-by-step explanation:

Correlation coefficient of -1: Negative correlation

As variable x (horizontal axis) increases, variable y (vertical axis) should decrease.

Hence, gradient of the graph is negative, sloping downwards as x increases.

Graph 2 is eliminated (positive correlation approximately 1)

Graph 4 is also wrong as there is simply no correlation. (Points are random with no fixed pattern or trend)

Graphs 1 and 3 show negative correlation.

However, for graph 3, several points are not accurate, leading to a straight line not being drawn accurately. (Slightly off) . Correlation of this graph is negative but not closest to -1.

Hence, the first graph is the closest to -1 in terms of correlation coefficient.

P(t) = 3610 * e^(-0.00347t) function can be used to estimate the population of the town at any time in the future, based on the quarterly rate of decay.

What is exponential decay?

Exponential decay is a mathematical process in which a quantity decreases over time in a manner proportional to its current value. This means that the rate of decay is proportional to the amount of the substance remaining, and as the amount of the substance decreases, the rate of decay also decreases.

To find the quarterly rate of exponential decay, we need to first convert the annual rate of 1.4% to a quarterly rate. We can do this using the formula:

Quarterly rate = (1 + annual rate)^ (1/4) - 1

Where the annual rate is expressed as a decimal.

So, for an annual rate of 1.4%, we have:

Quarterly rate = (1 + 0.014)^ (1/4) - 1

Quarterly rate = 0.00347

This means that the population of the town is decreasing by 0.347% per quarter. To write the exponential decay function for this population, we can use the formula P(t) = P(0) * e^(-rt)

Where P(0) is the initial population, r is the quarterly rate of decay, t is the time elapsed in quarters, and e is the mathematical constant approximately equal to 2.71828.

Substituting the given values, we get:

P(t) = 3610 * e^(-0.00347t)

This function can be used to estimate the population of the town at any time in the future, based on the quarterly rate of decay.

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Answer:

40 Rs 2 coins equal to Rs 80.and this amounts 140— 80= Rs60.if i exchange one Rs 2 by one Rs 5 balance amount decreases by Rs3.For exhausting Rs 60 i shall have to exchange 60/3=20 Rs 2 coins.Thus 20 Rs 5 coin shallb there.ans.

Step-by-step explanation:

answer not mine but hopefully it helps

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8

The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point

The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;

f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8

The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8

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The patient needs 17.66 mg of medication A .

It is given that a patient has weight 157 lbs.

We apply division because we need to find the cost of one item given the  cost of many items. If you need to find the cost of many items from the cost of one item,  apply the multiplication operation.

We need to convert this weight in kilogram using unitary method , we get      1 pound have = 0.45 kilogram

           157 pound will have \(=157\times0.45\)

                                              \(=70.65\) kilogram

A patient receive 0.25 mg of Medication A per kg

Using unitary method , we get

  1 kg of body receives = 0.25 mg of medication A

  70.65 kg of body receives \(=0.25\times 70.65\)

                                                \(=17.66\) mg of medication A

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Answer

6r+8

Step-by-step explanation:

  2r+1+r+r+r+r+7

= 6r+8

Answer: 4.80952380952

Step-by-step explanation: 4.80952380952 even it to 4.8

Answer:

4.80952380952

Step-by-step explanation:

4.80952380952

Answer: u<6

Step-by-step explanation:

Isolate u by dividing both sides of the inequality by 7

\(\frac{7u}{7} < \frac{42}{7} \\u < 6\)

u<6

Hope it helps.

Do comment if you have any query.

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

The critical value is \(T_c = 2.5706\).

The 90% confidence interval for the average net change in a student's score after completing the course is (9.04, 18.30).

Step-by-step explanation:

Before building the confidence interval, we need to find the sample mean and the sample standard deviation:

Sample mean:

\(\overline{x} = \frac{6+16+19+12+15+14}{6} = 13.67\)

Sample standard deviation:

\(s = \sqrt{\frac{(6-13.67)^2+(16-13.67)^2+(19-13.67)^2+(12-13.67)^2+(15-13.67)^2+(14-13.67)^2}{5}} = 4.4121\)

Confidence interval:

We have the standard deviation for the sample, so the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 2.5706, that is, the critical value is \(T_c = 2.5706\)

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.5706\frac{4.4121}{\sqrt{6}} = 4.63\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 13.67 - 4.63 = 9.04.

The upper end of the interval is the sample mean added to M. So it is 13.67 + 4.63 = 18.30.

The 90% confidence interval for the average net change in a student's score after completing the course is (9.04, 18.30).

Answer:

9x-8

Step-by-step explanation:

4x-3+8x-5-3x

12x-3-5-3x

12x-8-3x

9x-8

Answer:

slope = -1/2

Y-intercept = (0,2)

Step-by-step explanation:

\(150^{\circ}\) has a reference angle of 30 degrees.

Check the picture below, so the parabola looks more or less like so.

let's recall that the vertex will be half-way between the focus point and the directrix, in this case that'd be at (-2 , -4), and the "p' distance is a positive "1", so

\(\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-2\\ k=-4\\ p=1 \end{cases}\implies 4(1)(~~y-(-4)~~)=( ~~ x-(-2) ~~ )^2 \\\\\\ 4(y+4)=(x+2)^2\implies y+4=\cfrac{1}{4}(x+2)^2\implies {\Large \begin{array}{llll} y=\cfrac{1}{4}(x+2)^2-4 \end{array}}\)

Answer:

1.27

Step-by-step explanation:

Answer:

$1.27

Step-by-step explanation:

Divide the total cost by the number of things you have to get the unit cost. Unit cost is the amount per item

$8.89/7 items = $1.27 per 1 pound of chocolate  

Answer:

In order to calculate the sales tax of an item, we need to first multiply the pre-tax cost of the item by the sales tax percentage after it has been converted into a decimal. Once the sales tax has been calculated it needs to be added to the pre-tax value in order to find the total cost of the item. Let's start by working with an example. If a magazine costs $2.35 and has a 6% sales tax, then what is the total cost of the item. First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

6%→0.06

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

Round to two decimal places since our total is in dollars and cents.

Last, add this value to the pre-tax value of the item to find the total cost.

$2.49

Step-by-step explanation:

Hope this helps!!

Answer:

A movie: For entertainment!!!

Step-by-step explanation: