Solve the formula for v: A=Z+vg
V=

Answer:

Reese read 26 pages on Sunday.

Step-by-step explanation:

If she read twice the amount on Saturday than she read on Sunday, then you can replace the days with variables. 2x for Saturday and x for Sunday. That leaves you with 2x + x = 78. This can be simplified to 3x = 78. We can solve this by dividing both sides by 3. This leaves you with x = 26. If x represents the pages read on Sunday then Reese read 26 pages on Sunday.

Answer:

a₄ = 50

Step-by-step explanation:

work back from the seventh term a₇ using the reverse of the term to term rule , that is

divide by 2 then subtract 3

a₇ = 442

a₆ = 442 ÷ 2 - 3 = 221 - 3 = 218

a₅ = 218 ÷ 2 - 3 = 109 - 3 = 106

a₄ = 106 ÷ 2 - 3 = 53 - 3 = 50

Answer:

\(a_{4}=50\)

Step-by-step explanation:

\(a_{4} = 50\)

a₇ = 442

a₆ = 442 ÷ 2 - 3 = 221 - 3 = 218

a₅ = 218 ÷ 2 - 3 = 109 - 3 = 106

a₄ = 106 ÷ 2 - 3 = 53 - 3 = 50

Answer:

t= 2p+5/p-1

Step-by-step explanation:

The question is not well writen

Assume p = t+5/t-2

We are to make t the subject of the formula

Cross multiply

p(t-2) = t+5

pt - 2p = t+5

pt - t = 2p+5

t(p-1) = 2p+5

t= 2p+5/p-1

Hence the value of t is 2p+5/p-1

It is true that the two ways blocks show the same number

The place value blocks are given as:

Number = 1.583

1 one +58 hundredths+3 thousandths.

Express the place values as numerical values.

So, we have:

1 one +58 hundredths+3 thousandths = 1 * 1 + 58 * 0.01 + 3 * 0.001

Evaluate the products

1 one +58 hundredths+3 thousandths = 1 + 0.58 + 0.003

Evaluate the sum

1 one +58 hundredths+3 thousandths = 1.583

So, we have

1.583 and 1.583

Hence, it is true that the two ways blocks show the same number

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Four triangles can create a set of pattern blocks that includes a total of four rhombuses.

To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.

To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.

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Answer:

negative 2.3

Step-by-step explanation:

Answer: 9

Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:

10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.

Now lets try it with 1/9.

X divided by 1/9 = X times 9/1.

So dividing by 1/9 is equal to multiplying by 9.

Answer:

Let the height of the parallelogram be h. Then the area of the rectangle is:

A(rectangle) = length x width = 8 m x 4.5 m = 36 m^2

And the area of the parallelogram is:

A(parallelogram) = base x height = 6 m x h = 6h m^2

We are given that:

A(parallelogram) = 2 A(rectangle)

6h = 2(36)

6h = 72

h = 12

Therefore, the height of the parallelogram is 12 meters.

So, the area of the parallelogram is:

A(parallelogram) = base x height = 6 m x 12 m = 72 m^2

Hence, the area of the parallelogram is twice the area of the rectangle, as required.

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Based on the intersecting secants theorem:

a. CG*CE = CH*CD

b. length of DH = 10 in.

When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.

a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:

CG*CE = CH*CD

b. Given the following lengths:

CG = 3 in, CH = 2 in, and GE = 5 in

CE = CG + GE = 3 + 5 = 8 in.

CD = CH + DH = 2 + DH

Substitute into CG*CE = CH*CD:

3*8 = 2*(2 + DH)

24 = 4 + 2DH

24 - 4 = 2DH

20 = 2DH

20/2 = DH

DH = 10 in.

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Answer:

Now, the Lowest Common Multiple (LCM) of 55 & 77 is :

The required amount that was borrowed is 7000.

Given that,
Borrowed money for 4 years at 9%.
The total interest paid was 2520.
To determine how much money was borrowed.

Simple interest is defined as the percentage of earnings on the lending for a period of time

Here,
interest  = [principal * rate * time  ] / 100
2520 = [principal * 9* 4] / 100
Principal = 2520 * 100 / 9*4
Principal = 7000
So, the principal amount or initial amount is $7000.

Thus, the required amount that was borrowed is 7000.

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The value of x in this proposition would be the first option i.e. \(-13\frac{1}{4}\)

4/11= -33/x+5,

to get the value of x we need to get the x to the left hand side,

4(x+5)= -33,

4x+20 = -33.

subtracting 20 from both the sides,

4x= -33-20

4x = -53.

dividing both the sides by 4,

x= -53/4

x= \(-13\frac{1}{4}\) ,

which is option A in the given question

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Answer:

We can rewrite the function as:

f(x) = 3(8√3)^(2x) = 3(2^3√3)^(2x)

Using the properties of exponents, we can rewrite this as:

f(x) = 3(2^(3*2x)√3^(2x)) = 3(2^(6x)√(3^(2x)))

Therefore, the base of the exponent is 2.

Answer:

86.395

Step-by-step explanation:

Answer:

72, 504, 172

Step-by-step explanation:

Let the unknown number be denoted as "x"

The second number = 7x

And the third number = 100 + x

(x) + (7x) + (100 + x) = 748

x + 7x + x + 100 = 748

9x + 100 = 748

9x = 748- 100

9x = 648

x = 648/9

x = 72

The first number = 72

The second number = 7x = 7 × 72 = 504

The third number = 100 + x = 100 + 72 = 172

9514 1404 393

Answer:

  f(-2) = -6

Step-by-step explanation:

The remainder theorem tells you the remainder from division by x+2 is the value of f(-2). We can conclude ...

  f(-2) = -6

Answer:

\((f/g)(x)=\frac{x^4-x^3-7x^2+9x-2}{x-1} =x^3-7x+2\,\,\,for\,\,x\neq 1\)

\((f/g)(2)=-4\)

Step-by-step explanation:

\((f/g)(x)=\frac{x^4-x^3-7x^2+9x-2}{x-1} =x^3-7x+2\,\,\,for\,\,x\neq 1\)  and undefined for x = 1.

Notice that (x-1) is in fact a factor of f(x), so the quotient of the two functions introduces a "hole" for the new function at x = 1.

f(2) can be found by simply evaluating the expression for x = 2:

\((f/g)(2)=2^3-7(2)+2=-4\)

Diego answer is correct.

The other form of triangle can be Right angled triangle.

A right-angled triangle is a triangle in which one of the angles is 90 degrees. The sum of the other two angles is 90 degrees. The sides that include the right angle are perpendicular and form the triangle's base. The third side is known as the hypotenuse, and it is the longest of the three sides.

Diego made the triangle with base angles 45 degree each and base length of 8 cm.

Yes. I agree with Diego answer.

but this is not the only triangle can be made.

As, two of the angle is 45 degree then the third angle must be 90 degree which is a right angle with Hypotenuse 8 cm.

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Using a calculator, the value of  csc (203°) is -1.086

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Since csc (203°) = 1/[sin (203°)]

Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:

1/[sin (203°)] = -1.086

Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.

Thus, the value of  csc (203°) is -1.086

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Given:

A statement is given

Required:

What is the difference in the volume of the boxes

of cereal?

Explanation:

The family size box has a height of 14 inches, a lenght of 8 inches, and a width of 4 inches

So the volume of family size is

Becausr the dimensions are half the size of family size

box of cereal is the combination of volume

So the medium box has a height of 7 inches, length 4 inches, width 2 inches

volume

So the volume of family size box of cereal is layer than that of the medium box. The volume of family of family size base is eight times the volume of medium box. That is

the different in the volume of boxes of cereal

Required answer:

Above explanation

Answer:

1. Slope = -2 , y-intercept = 1

2. Slope = 5 , y-intercept = -15

3. Slope = 1.5 , y-intercept = -2

4. Slope = -3 , y-intercept = 9

Step-by-step explanation:

1. The slope is -2 because using the formula y₁-y₂÷x₁-x₂ you can use the points given to you to get -2. It doesn't matter which one you pick as y1 or y2, just make sure you keep it consistent with the x numberings. I did 1--3 (which becomes 1+3) and 0-2. Those equal 4/-2 which gives you -2. Use these same steps for all of them, but with ones that don't have the points given, just pick two that are whole numbers and not decimals. For finding the y-intercept, just find the point that is on the y axis line. It is given on number one as (0,1). So, the y-intercept is 1. Hope this helps!

if two _______ and included angle of one triangle are ______ to the corresponding two sides and included angle of other triangles ,then the _____ are congruent​

According to the statement given ,

The blanks will be fill in the blanks as follows.

If two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of other triangle, then the triangles are congruent.

Answer

The bold and underline letters in the explanation part is the answer.

Answer:

B. the accounts that are involved.

Step-by-step explanation:

Financial accounting is an accounting technique used for analyzing, summarizing and reporting of financial transactions like sales costs, purchase costs, payables and receivables of an organization using standard financial guidelines such as Generally Accepted Accounting Principles (GAAP). Examples of financial statements includes Balance sheet, cash-flow and income statement.

On the other hand, managerial accounting also known as cost accounting is an accounting technique focused on identification, measurement, analyzing, interpretation, and communication of financial information to managers for better decisions making and pursuit of the organization's goals.

The first step in analyzing a transaction is to determine the accounts that are involved. Since a company would have more than one transaction type, it is very important to determine what account is involved in the transaction process such as sales, purchase of inventory, payment of employee salaries and other types of expenses.

The angle of elevation θ is equal to 1.13186 in radian rounded to five decimal place.

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

We shall evaluate for the angle of elevation θ in degree, and then convert the result to radian as follows:

θ = tan⁻¹(4255/2000)

θ = 64.82482°

we multiply by π/180 to convert to radian;

θ' = 64.82482° × π/180

θ' = 1.13186 rounded to five decimal place.

Therefore, the angle of elevation θ is equal to 1.13186 in radian rounded to five decimal place.

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The measure of the arc or angle is:

m∠NLM = 60 deg

From the given figure, line LN is the diameter. Thus, the measure of arc LN is 180° (semicircle).

Thus, we can say:

arc NM + arc ML = 180°

(3x + 21) + (8x + 16) =  180°

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143/11

x = 13

arc NM = 8x + 16

put x = 13:

arc NM = 8(13) + 16 = 120°

Recall that:

The measure of inscribed angle is half the measure of its intercepted arc. That is:

m∠NLM = 1/2 * 120°

m∠NLM = 60°

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Answer:

\(w < -\frac{22}{5}\)

Step-by-step explanation:

\(-5w > 22\\\\w < -\frac{22}{5}\)

When dividing or multiplying by a negative in an inequality, you must flip the sign's direction!