Solve for q.

q + 7 = 61

q = ____

The value of sin (20°) will always be positive, because :

0° < 20° < 90°

we know, that 20° lies in first quadrant and values of sin in first quadrant is always positive.

Answer:

C = 10

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2}[/tex]

You have a and b already, a = 6, b = 8

[tex]6^{2} +8^{2} =c^{2} \\\\[/tex]

solve this to get

[tex]64 + 36 = \sqrt{100}[/tex]

C = 10

Apply the same to the other 2 triangles. C is your longest side!

Answer:

4√2 ft

Step-by-step explanation:

Answer:

0,000003588

Step-by-step explanation:

the answer is 0 :)

Step-by-step explanation:

LOL.......................... -,-

The length of each of the four walls of the birdhouse is 5.5 inches, so the total length of all four walls is approximately 4 x 5.5 = 22 inches. Therefore, Javi's board is long enough to be cut into the four walls of the birdhouse.

Walls. Utilize the conventional equation Length x Width = Area to get the area of a wall. Next, apply the same calculation to each window and door's specific area. Subtract the area of the windows and doors from the overall size of the wall once you have recorded all of these dimensions.

The birdhouse must have four walls that are each 5.5 inches thick.

one room needs four walls because of the length of its four walls.

4*5.5=22

A board measuring 24.5 inches long is in Javi's possession. In order to cut through the birdhouse's four walls, it is sufficient.

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10. a. The sequence is arithmetic as the difference between the next term and the previous term is constant.

b. The 200th term of the sequence is 1382.

c. 100 is not a member of the sequence.

11. a. u₁ is even and d is also even.

b. u₁ is odd and d is even.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, u₁ = - 12 and uₙ₊₁ = uₙ + 7.

So,

u₂ = u₁₊₁ = - 12 + 7 = - 5.

Similarly, u₃ = - 5 + 7 = 2 and u₄ = 9.

So, The terms have a common difference o 7 and hence it is an arithmetic sequence.

We know, uₙ = u₁ + (n - 1)d.

Therefore, u₂₀₀ = u₁ + (200 -1)×7.

u₂₀₀ = - 12 + 199×7.

u₂₀₀ = - 12 + 1393.

u₂₀₀ = 1382.

Now, Determining whether 1000 is a member of the sequence.

Let, 1000 = - 12 + (n - 1)×7.

1012 = 7n - 7.

1019 = 7n, Here is not completely divisible hence 1000 is not a member of the sequence.

11. When all the terms of an AP is even the first term u₁ is even and the common difference would also be even and when all the terms of an AP are odd the first term u₁ would be odd and the common difference d would e even, as odd - odd = even.

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Answer:

Step-by-step explanation:

To find the volume of this solid, multiply the base area by the height:

V = (25 cm²)(4 cm) = 100 cm³

The required volume of the solid will be 100 cm³ in the given figure.

The volume of a solid is the amount of space occupied by an object. It is determined by the number of unit cubes required to completely fill the solid.

The solid is given has the base area and the height provide the following:

The base area of the solid = 25 cm²

The height of the solid = 4 cm

As per the given figure, the required solution would be as:

To find the volume of the given solid, multiply the base area by the height:

The volume of the solid = The base area x The height

The volume of the solid = (25 cm²) x (4 cm)

Apply the multiplication operation, and we get

The volume of the solid = 100 cm³

Therefore, the required volume of the solid will be 100 cm³ in the given figure.

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The value of a variable from one equation is substituted in the other equation when using the substitution method.

The graphic approach and the algebraic method are the two main categories into which simultaneous linear equations can be solved. One of the categories of the algebraic approach is the substitution method. The algebraic approach to solving simultaneous linear equations is known as the substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.

Steps for Substitution method:

Therefore in the Substitution method, The value of a variable from one equation is substituted in the other equation.

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There are no solutions for the equation 3x106 3x12.

The equation 3x106 3x12 can be rearranged to 3x106 - 3x12 = 0. This is a linear equation and can be solved using the equation ax+b=0, where a is the coefficient of the variable and b is the constant.

In this case, a = 3 and b = -3x106. To solve this equation, we can use the quadratic formula, which states that x = -b ± √b2 - 4ac / 2a.

Substituting the values for a, b, and c yields x = -(-3x106) ± √(3x106)2 - 4(3)(-3x106)/2(3). Simplifying this yields x = 3x106 ± √9x1012 - 36x1012/6.

This simplifies to x = 3x106 ± √-27x1012/6. Since the square root of a negative number is not a real number, this equation has no real solutions. Therefore, there are no solutions for the equation 3x106 3x12.

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Answer:

75%

Step-by-step explanation:

First, take a look at the equation.

  4, 500(1.75)^t

4500 is the y-intercept, or the INITIAL VALUE, as given in the information.

Exponential Growth is shown when the percentage is added to 1. For example, in this case, it's 1+0.75, which equals 1.75.

Therefore, annually, it increases by 75%.

Answer:

Choice B. 2395.83 cm^3

Step-by-step explanation:

V = [tex]\frac{lwh}{2}[/tex] = [tex]\frac{(25)(12.5)(23)}{2}[/tex] = 2395.83333 = 2395.83cm^3

Answer:

oki! hope this explanation will help you! my last answer was deleted sooo...

Step-by-step explanation:

To find the volume of the pyramid, the formula is 1/3 x height x base

In this case...

the height:23 cm

the base:312.5 [tex]cm^{2}[/tex]

and the equation is 1/3 x 23 x 312.5

which will be 2395.8333333(and more 3!)

We round it in the hundreths place and get 2395.83(aka option B) as the answer!

Answer: I believe the answer is 5

Answer:

in the first question you use the cosine rule to solve the problem since you have one angle and two sides of the triangle and the rules states thus x square is equal to 5 squid + 8 squared -2 * 5 * 8 x cos 60

Answer:

P (face card) =  0.0003

Step-by-step explanation:

There are 12 cards (face cards  such as jack, queen king, or ace) and 36 numbered cards from2's to 10's.

The probability of picking 5 face cards out of 12 face cards when we have to choose 5 cards from 52 deck cards is given by

P (face card) =  12C5/ 52C5= 0.0003

Answer:

$24,893.40

Step-by-step explanation:

Year 1

50,000 x 0.16 =  8,000

50,000-8,000 = 42,000

Year 2

42,000 x 0.16 = 6,720

42,000-6,720 = 35,280

Year 3

35,280 x 0.16 = 5644.80

35,280-5644.80= 29,635.2

Year 4

29,635.2x0.16 = 4,741.6

29,635-4,741.6 = $24,893.40

The translation of the coordinate points on the graph by linear displacement in comparison of original points ( x , y ) get translated to     ( x + h,  y + k ) where h ∈R , k ∈R.

As given in the question,

Let us consider original coordinate point on a given graph be ( x ,y ).

Translation represents the change in the linear displacement or the location without changing the shape and size.

Shift of the point may be horizontally or vertically.

Let 'h' and 'k' be the horizontal and vertical shift.

If the horizontal shift is right then it is represented by x + h

If the horizontal shift is left then it is represented by x - h

If the vertical shift is up then it is represented by y +k

If the vertical shift is down then it is represented by y - k.

Therefore, the translation of the coordinate points on a given graph represented by original points ( x , y ) get translated to ( x + h,  y + k ) where h ∈R , k ∈R.

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The two statements that are true about the table are:

A) "The range is {15.80, 31.60, 43.45, 57.25} ."

B) "The set of independent values is {4, 8, 11, 15}."

Here we have the table for number of gallons and the costs of these:

g          c

4         15.80

8         31.60

11         43.45

15         57.25

The statements that are true about that table are:

"The range is {15.80, 31.60, 43.45, 57.25} ."

This is true, the cost is the output of the table, thus, the range is that.

"The set of independent values is {4, 8, 11, 15}."

This is also called the domain, which is the input, in this case, the number of gallons of gas.

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Therefore , the solution of the given problem of expression comes out to be √14q × 2√4q = 4q√14.

combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.

• 3 x/2 variable  is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.

Here,

The simplified expressions are 20 = 25, 56x2 = 2x14, [150x3k4] = 5xk26x, and 14q 24q = 4q14 given the facts from the question.

Simplifying the surd

A perfect square must be one of the components for a number to be written as just surds.

How to Make 20 Recall Simpler

20 = 4 × 5

Thus,

√20 = √(4 × 5)

√20 = 2√5

simple methods √(56x²)\s√(56x²) = √56 × √x²

Recall

√56 = √(4 × 14) = 2√14

√x² = x

Thus,

√(56x²) = 2√14 × x

√(56x²) = 2x√14

simple methods [150x3k4] = [150x3k4] = [150x3k4]

Recall

√150 = √(25 × 6) = 5√6

√x³ = √(x² × x) = x√x

√k⁴ = k²

Thus,

√[150x³k⁴] = 5√6 × x√x × k²

√[150x³k⁴] = 5k²x√6x

How to simplify 14q 2 4q: 14q 2 4q = 2

(14q × 4q)

√14q × 2√4q = 2 × 2q√14

√14q × 2√4q = 4q√14

Therefore , the solution of the given problem of eexpression comes out to be √14q × 2√4q = 4q√14.

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Answer:

e-5

Pretty simple

So, by fraction, number of times he will have to fill the smaller measuring cup to equal 1 3/4 cups is 7 times.

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

Glass holds = 1(3/4) cups of water

One cup holds = 1/4 cup of water

number of 1/4 cups needed to fill the 1(3/4) cups of water glass.

[tex]\frac{1}{4xC}=1(\frac{3}{4})\\\\\frac{C}{4} = \frac{7}{4} \\\\C=\frac{7}{4x4}\\ \\C= 4[/tex]

number of times the smaller cup fills the glass is 7.

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Complete Question: Quentin is filling a glass that holds 1 3/4 cups of water. he is using 1/4 cup measuring cup. how many times will he have to fill the smaller measuring cup to equal 1 3/4 cups?

Answer: 3/5

Step-by-step explanation:

11/15-2/15=9/15

9/15 simplified is 3/5 :D have a nice day! hoped this helped!

The probability that 3 or more copies will be demanded in a particular day is 0.64.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probability for 3 or more copies to be demanded is the sum of all the probability distributions for 3 or more copies demanded per day.

This can be written in an equational form -

P(x) = 0.14 + 0.12 + 0.10 + 0.08 + 0.07 + 0.06 + 0.04 +0.03

P(x) = 0.64

Therefore, the probability is 0.64.

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Answer:

b

Step-by-step explanation:

The standard error of the distribution of sample proportions is 0.084

The correct option is (B).

Standard error is calculated by dividing the standard deviation of the sample by the square root of the sample size.

Given:  population parameter: 0.7, n=30

Standard error:  √[p (1 - p) / n]

= √[0.7 (1 - 0.7) / 30]

=  √[0.7*0.3 / 30]

=  √0.21 / 30

= √0.007

=0.0836

=0.084

Hence, the standard error is 0.084.

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Total profit earned = 25000000 dollars

Profit is a financial achievement which is the difference between the amount of money or resources people earned and the amount is spent in various purpose. In case of a business organization, the difference between production and cost is termed as profit. Let, someone invested money for operating business, he needs to spend money for workers, for the welfare of business and after all these he has amount that comes from business that is called profit.

Given, profit earned = $ 2.5 × 10⁴ in the 1×10³ days in a row

total profit earned during this time = $(2.5 × 10⁴ × 10³)

                                                         $2.5 × 10⁷

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The cost of oil to fill the drum with height of 4 feet and a radius of 1.2 feet will be $397.90.

An understanding of the different dimensions is necessary to truly understand cubic feet, how big a cubic foot is, and how to measure cubic feet. There are three known dimensions which include a foot measurement. The dimensions expand to include additional measurements with each new dimension.

The cubic foot is an imperial and US customary unit of volume, used in the United States and the United Kingdom. It is defined as the volume of a cube with sides of one foot in length. Its volume is 28.3168 L. At 60 °F, a cubic foot of water weighs 62.37 pounds. A cubic foot (abbreviated as cu ft. or cubic ft.) is an imperial unit of measurement for the volume of a space or three-dimensional object.

Given: A drum of oil has a height of 4 feet and a radius of 1.2 feet. Oil cost has been given as $22 per cubic feet.

We have to calculate the cost to fill the drum with oil.

Since formula to get the volume of the drum is V = πr²h

V = 3.14×(1.2)²×4 = 18.09 feet³

Now the cost of oil to fill the drum will be

Cost = Volume × cost = 18.09×22 = $397.90

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I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:

bit.[tex]^{}[/tex]ly/3gVQKw3

The probability of not rain on weekend is 7%.

We have given that,A local weather station forecasted 93% chance of rain on a weekend.

We have t find the probability of not rain on the weekend.

Probability of not to rain=1-probability of rain

Therefore we get,

100%-93%=7%

[tex]\frac{7}{100}=0.07[/tex]

So the probability of not rain on weekend is 7%.

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Answer:

[tex]\huge\boxed{Que \ es \ un \ variable \ ?\hookleftarrow}[/tex]

✐ En matemáticas, una variable es un símbolo que funciona como marcador de posición para expresiones o cantidades que pueden variar o cambiar; se utiliza a menudo para representar el argumento de una función o un elemento arbitrario de un conjunto. Además de los números, las variables se utilizan comúnmente para representar vectores, matrices y funciones.

The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.

The formula to find the y-intercept is y = f(x), where x = 0, and then solve for y.

The equation for a linear relationship is y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept.

Cab Fare

Number of Miles Total Fee

2                             $17.00

5                             $21.50

7                            $24.50

10                          $29.00

15                          $36.50

Difference between 7 and 5 = 2

Difference between $24.50 and $21.50 = $3

Variable cost per mile (Slope) = Rise/Run

= $1.50 ($3/2)

y = mx + b

y-intercept, b = 24.50 - 7(1.5)

= 14

= $14.00

Thus, the y-intercept in this situation means Option A while the slope shows that for every additional mile, the total fee increases by $1.50.

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Answer:

The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.

Step-by-step explanation: