slove the equation 125(5²ˣ⁻¹) = 1

For our pyramid, this gives us the volume of the pyramid (1/3)x²y.

Let the length of base be x and height be y

Volume of pyramid = [tex]\frac{1}{3}[/tex]× l× b× h

The volume of a right rectangular prism is found by finding the area of the base and multiplying by the height.  This is because there are "layers" of the base from the bottom to the top, making the height the number of "layers."

However, in a pyramid, the shape comes to a point.  This makes the volume of a pyramid 1/3 of that of the corresponding prism.

For our pyramid, the area of the base would be x(x) = x².  

There are y layers of this base, so this would be x²y.  

Since it is a pyramid, this gives us the volume of the pyramid (1/3)x²y.

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There are 48 different possible outcomes.

The total number of possible outcomes in a scenario like this is determined by finding the product of the number of possible outcomes for each individual event.

Independent events are events that are not affected by each other and have no influence on each other's outcome. The probability of two independent events occurring together is the product of their individual probabilities.

When flipping a coin, there are 2 possible outcomes (heads or tails).

When rolling a fair die with 4 sides, there are 4 possible outcomes (1, 2, 3, or 4).

When rolling a fair die with 6 sides, there are 6 possible outcomes (1, 2, 3, 4, 5, or 6).

To find the total number of possible outcomes, we multiply the number of outcomes for each event:

2 * 4 * 6 = 48

Therefore, there are 48 different possible outcomes.

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Answer: D

Step-by-step explanation:

For a graph to be shifted to the left, the notation inside the X function must be positive 4. For a graph to be shifted upward, the addition of 6 must be outside the slope, indicating that it is not being done in the x-direction, but in the y-direction.

The given differential equation with variable separation will be cosy = -1/2 sin2x + C.

A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions.

Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

Due to the prevalence of these relationships, differential equations are widely used in many fields, including engineering, physics, economics, and biology.

So, we have the differential equation:

csc(y) dx + sec2(x) dy = 0

We, are aware that:
csc(y) = 1/ siny

sec(x) = 1/ cosx

We can also write it:

dx/siny = dy/cos2x

Cross multiplication with variable separation:

siny dy = cos2x dx

Differentiate:
cosy = -1/2 sin2x + C

As a result, the given differential equation with variable separation will be

cosy = -1/2 sin2x + C.

Therefore, the given differential equation with variable separation will be cosy = -1/2 sin2x + C.

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Answer:

x=17

Step-by-step explanation:

the sumof angles of triangle is 180

so 6x+10+x+17+4x-34=180

11x-7=180

11x=187

x=17

Answer:

x = 17

Step-by-step explanation:

Since we know the angles of a triangle add up to 180, we can make the equation:

6x + 10 + x + 17 + 4x - 34 = 180

Then, we add 34 to both sides and put like terms near each other:

6x + x + 4x + 10 + 17 = 214

Then, combining like terms and subtracting 27 from both sides gives us:

11x = 187

Divide both sides by 11 gives us:

x = 17

So, the value of x = 17.

Hope this helped!

Please give Brainliest if possible!

Step-by-step explanation:

You will get the x and y interceptions by substituting. To make it easier, put x=0 , 3, -3 and solve the equation.

Hope this helps you.

The required expected value of the score is 4.92.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

A long hit with success has a 0.4 chance of happening. The following formula can be used to determine which strategy—the short hit or the long hit—will improve the expected value of the score:

Expected value of long hit = P(successful hit)4.2 + P(unsuccessful hit)5.4

= 0.4×4.2 + (1 - .04)×5.4

= 4.92

Thus, required score is 4.92.

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Answer:

1.02, 1.1, 1.101

Step-by-step explanation:

use a calculator

keeping in mind that a centroid cuts all medians at a 2 : 1 ratio, meaning that the median AE gets cut on a 2 : 1 ratio, meaning AG : GE = 2 : 1, Check the picture below.

Answer: ur mom

Step-by-step explanation: is so pretty

Answer:

C.  37.5

Step-by-step explanation:

From inspection of the given triangle, we can see that the straight line that divides the triangle into two smaller triangles is an angle bisector since it divides the angle into two congruent angles.

Angle Bisector Theorem

An angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.

[tex]\implies x:15=40:16[/tex]

Solve for x:

[tex]\implies \dfrac{x}{15}=\dfrac{40}{16}[/tex]

[tex]\implies \dfrac{x}{15}=2.5[/tex]

[tex]\implies x=2.5\times 15[/tex]

[tex]\implies x=37.5[/tex]

Answer:

Step-by-step explanation:

To prove that the diagonals of an isosceles trapezoid are congruent, we will first define the terms and draw a diagram of the isosceles trapezoid.An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles.Let's call the isosceles trapezoid ABCD and let the parallel sides be AB and CD, and the congruent legs be AD and BC. Let the diagonals be AC and BD.Since, AD and BC are congruent legs, therefore ∠BAD = ∠CAD by the definition of congruent legs.And since ABCD is a trapezoid, therefore, AB || CD and therefore, ∠BAD = ∠CBD, due to alternate angles are congruent.Therefore, ∠CAD = ∠CBD, by CPCTC (corresponding parts of congruent triangles are congruent)AC = BD , since both are congruent by ASA (angle-side-angle) congruence.Thus, the diagonals of an isosceles trapezoid are congruent.

Using mathematical operations, Eric's total earnings from selling one large necklace and three small necklaces are $6.10.

The total earnings from the sales of large and small necklaces by Eric are determined as the sum of the revenue from the sale of both necklaces.

For each class, the revenue is determined by multiplying the units sold and the unit selling price.

The two basic mathematical operations involved in determining the total revenue are multiplication and addition.

The selling price of a large necklace per unit = $4.90

The selling price of a small necklace per unit = $0.40

The number of large necklaces sold = 1

The number of small necklaces sold = 3

The total earnings = $6.10 ($4.90 + 3 x $0.40)

Thus, using the mathematical operations of multiplication and addition operations, the total earnings from the sales of the large and small necklaces are obtained.

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Answer: $13.7

Step-by-step explanation:

$4.90 + $4.40 = $9.30      $9.30 +$4.40 = $13.7

Negative two and three tenths repeating is greater than negative eight thirds.

What are inequalities ?

Inequalities in mathematics is when comparing two non equal quantities.

if a is greater than b we write a>b (3>2) and -a<-b (-3<-2)

a=3 and b =2

In the given question

We have to compare   and

=   = -2.3

= -2.6

So, from this we can say than -2.3 is greater than -2.6

⇒ -2.3 > - 2.6

Answer: 35.1

Step-by-step explanation:

Note that the altitude to the hypotenuse splits the hypotenuse into segments of lengths 16 and 28.

Using the geometric mean theorem, the length of the altitude to the hypotenuse is [tex]\sqrt{16(28)}=8\sqrt{7}[/tex].

Using the Pythagorean theorem, [tex]x=\sqrt{(8\sqrt{7})^2 +28^2} \approx 35.1[/tex].

As per the box plot diagram, the values of the three quartiles is 1254 and the interquartile range is 560.75

The term box plot in math is defined a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

Here we have given that following data give the total food expenditures for the past one month for a sample of 20 families.

And by using the given data, we have to plot the box plot then we get the following diagram,

By using the diagram, we have identified the following values,

Population size: 20

Median: 1055.5

Minimum: 427

Maximum: 2199

First quartile: 703.25

Third quartile: 1254

Interquartile Range: 560.75

Outlier: 2199

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The probability of no leaks in a 2,500-meter section of pipe using the Poisson approximation to the binomial is 0.857.

The probability of no leaks in a 2,500-meter section of pipe using the Poisson approximation to the binomial is 0.857.

1. Calculate the expected value (μ) for the Poisson Distribution:

μ = λ × t = (1 leak per 1,000 meters) × (2,500 meters) = 2.5

2. Calculate the probability of no leaks using the Poisson Distribution:

P(X=0) = e-μ × (μ^0/0!) = e-2.5 × (2.5^0/0!) = 0.857

The probability of no leaks in a 2,500-meter section of pipe using the Poisson approximation to the binomial is 0.857.

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In the expression, the value of K is - 12.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

⇒ 4x + 3 is a factor of 20x³ + 23x² - 10x + k.

We know that;

If 4x + 3 is a factor of 20x³ + 23x² - 10x + k, then, the value of x satisfy the given equation.

Hence, We get;

The value of x is,

⇒ 4x + 3 = 0

⇒ x = - 3/4

Substitute value of x in given equation, we get;

⇒ 20x³ + 23x² - 10x + k = 0

⇒ 20(-3/4)³ + 23(-3/4)² - 10(-3/4) + k = 0

⇒ - 540/64 + 207/16 + 30/4 + k = 0

⇒ (- 540 + 828 + 480 + 64k) / 64 = 0

⇒ 768 + 64k = 0

⇒ 64k = - 768

⇒ k = - 768 / 64

⇒ k = - 12

Thus, The value of k = - 12

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Answer:

I think you just multiple 9, 8, 9 and 7?

Answer:

[tex]\boxed{a_5 = 40.5}[/tex]  

Step-by-step explanation:

Common ratio r of a geometric sequence is the ratio of each term to the previous term and is a constant

Thus if you have a sequence a₁, a₂, a₃, a,...
[tex]r = \dfrac{a_2}{a_1} = \dfrac{a_3}{a_2} = \dfrac{a_4}{a_3} \cdots[/tex]

For a geometric sequence with common ratio [tex]r[/tex] and a starting value of [tex]a_1[/tex]the nth term is given by the formula:
[tex]a_n = a_1r^{n-1}[/tex]

Here [tex]a_1 = 8, r = 1.5[/tex]

and we are asked to find the 5th term

[tex]a_5 = 8 \times 1.5^{(5-1)}\\\\= 8 \times 1.5^4\\\\=40.5\\\\[/tex]ANSWER

The terms of the sequence are
8, 12, 18, 27, 40.5 with 8 being the first term and 40.5 the 5th term

The standard form of the given expression is -4f²-6f + 3. The algebraic operation is addition.

What is an expression?

An expression, also known as an algebraic expression, is a mathematical statement made up of numbers, variables, and an arithmetic operation between them. For example, 4a - 5 is an expression in which the terms 4m and 5 are separated by the arithmetic sign - and a is the variable of the given expression.

Like terms in mathematics are summands in a sum that differ only by a numerical factor. By adding their coefficients, similar terms can be regrouped. Like terms in a polynomial expression are those that have the same variables to the same powers, but with different coefficients.

Given expression is

(-2f² -3f -5) + (-2f² -3f + 8)

Open the parenthesis:

= -2f² -3f -5 -2f² -3f + 8

Combine like terms:

= (-2f²  -2f²) + (-3f -3f) +(-5+8)

= -4f² -6f -3

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Answer:

0.27

Step-by-step explanation:

I hope this helps :)

Answer:

x=151/99

Step-by-step explanation:

x=1.525252

100x= 152.525252

-x=1.525252

99x=151

x=151/99

Answer: havles and half have a difference of the amount of halves

Step-by-step explanation:  such as one half is just 1 havles, but 2 halves you have 2 a halfs.

Answer:

Step-by-step explanation:

To make a boxplot, we need to know the minimum, Q1, median, Q3, and maximum.

The minimum is the smallest value: 15

The maximum is the largest value: 34

The median is found by arranging the numbers from smallest to largest and finding the middle point:

15, 20, 25, 25, 27, 28, 30, 34; there is not an exact middle here so we take the two middlemost points and divide by 2: 25+27/2 = 52/2 = 26

Q1 takes the numbers to the left of the median and finds the middle of those points. 15, 20, 25, 25. Again, there is no exact middle, so we use the same method as above. 20+25/2 = 22.5

Q1 takes the numbers to the right of the median and finds the middle of those points. 27, 28, 30, 34. Again, there is no exact middle, so we use the same method as above. 28+30/2 =  29

Now, use these points to construct!

Answer:

BOX 2

Step-by-step explanation:

look at the photo

The balanced chemical equations, of the combustion reactions found by plugging in the right coefficients in front of the molecules according to the rules of conservation of atoms are;

1) 2C + 2O₂ ⇒ 2CO₂

2) CH₄ + 2O₂ ⇒ CO₂ + 2H₂O

3) 2C₄H₁₀ + 13O₂ ⇒ 8CO₂ + 10H₂O

A combustion reaction is one in which a combustible substance reacts with an oxidizer such as oxygen, to become oxidized.

1) 2C + ...O₂ ⇒ CO₂

The number of carbon atoms in the reaction side of the equation is 2, and the number of oxygen atoms in the reaction side are 2

In the product side of the equation, we get;

The number of carbon atoms = 1

The number of oxygen atoms = 2

The ratio of the number of oxygen atoms in the reaction side to the number of oxygen atoms in the product side = 1 : 1

The ratio of the number of carbon atoms in the reaction side to the number of oxygen carbon in the product side = 2 : 1

Multiplying the O₂ by 2 and the CO₂ by 2, we get;

2) CH₄ +... O₂ ⇒ CO₂ + ....H₂O

Reaction side;

Number of carbon atoms = 1

Number of hydrogen atoms = 4

Number of oxygen atoms = 2

Product side;

Number of carbon atoms = 1

Number of hydrogen atoms = 2

Number of oxygen atoms = 3

Set the coefficient of O₂ as 2, and the coefficient of H₂O as 2, we get;

The above equation is balanced

3) 2C₄H₁₀ + ...O₂ ⇒ ...CO₂ + ....H₂O

Reaction side;

Number of carbon atoms = 8

Number of hydrogen atoms = 20

Number of oxygen atoms = 2

Product side;

Number of carbon atoms = 1

Number of hydrogen atoms = 2

Number of oxygen atoms = 3

Multiply the O₂ by 13, the CO₂ by 8, and the H₂O by 10, we get the balanced equation as follows;

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So, on solving the provided question we can say that Percent = 140/250 x100 = 56%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

A percentage is a ratio of one unit of an event's result to the entire sample multiplied by 100%. It denotes parts per 100. We divide the percentage of the sample that liked the options by the total sample to arrive at the calculation. As a result, we compute:

Percent = 140/250 x100 = 56%

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y-intercept: (0,19)

The y-intercept of an equation is the point where the graph of the equation crosses the y-axis. In this case, when x = 0, the equation simplifies to y = 19, so the y-intercept of the graph is (0, 19).

The coefficient of the x² term is 0.9, which is positive, so the parabola opens upwards.

So the answer is

Parabola opens upward.

Answer:

j=16.85

s=8.95

Step-by-step explanation:

j=jeans s=shirt

3j+6s=104.25

4j+5s=112.15

working:

3j+6s=104.25 dollars

4j+5s=112.15 dollars

(get j to be the same)

12j+24s=417 dollars

12j+15s=336.45 dollars

(subtract them)

9s=80.55 dollars

s=8.95 dollars

(substitute in)

(3 x j)+(6x8.95)=104.25 dollars

3 x j= 104.25-(6x8.95)

j=50.55/3 (50.55 divided by 3)

j=16.85 dollars

substitute in to double check

(3 x 16.85) + (6 x 8.95) = 104.25 dollars

check with the other equation and it works also, so that must be the values of j and s (jeans and shirt)

(4 x 16.85) + (5 x 8.95)=112.15 dollars

j=16.85

s=8.95

The number of years after which the population is less than 6000 is 5 years.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation

We have,

The rate at which the population is decreasing per year = 7%.

The equation for the number of population after t years.

P = C [tex](1 - 0.07)^t[/tex]

Now,

After 5 years,

P = 8500 [tex](1 - 0.07)^5[/tex]

P = 8500 x [tex]0.93^5[/tex]

P = 8500 x 0.69

P = 5865

The population after 5 years is 5865 which is less than 6000.

Thus,

After 5 years the population will be less than 6000.

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