The prime factorization is

3² · 5 · 11 ; what number does this describe?

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Given the arithmetic sequence:

9 , 13 , 17 , 21 , ......

The common difference = 13 - 9 = 17 - 13 = 21 - 17 = 4

The first term is 9

so, the explicit rule is an = 9 + 4 ( n - 1)

an = 9 + 4n - 4

an = 4n + 5

The answer is option D.

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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Answer:

N=29.28.27=29484

(sorry if this didn't help)

Step-by-step explanation:

Add 7 to both sides.

Add −4 and 7 to get 3.

Multiply both sides by 3, the reciprocal of 1/3 . Since 1/3 is >0, the direction of inequality remains the same.

Multiply 3 and 3 to get 9.

Ten times to get the required amount of 100ml of milk for her recipe.

Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.

Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.

To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:

100ml ÷ 10ml = 10

This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.

Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.

In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t

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Answer:

y=2/3

Step-by-step explanation:

2y+4y=6-3y

⇔ 2y+4y+3y=6

⇔ 9y=6

⇔ y=6/9=2/3

The answer is:

y = 2/3

Work/explanation:

For now, I focus on the left side and combine the like terms:

\(\bf{2y+4y=6-3y}\)

\(\bf{6y=6-3y}\)

Add 3y to each side

\(\bf{6y+3y=6}\)

Combine like terms

\(\bf{9y=6}\)

Divide each side by 9

\(\bf{y=\dfrac{6}{9}}\)

\(\bf{y=\dfrac{2}{3}}\)

Hence, the answer is 2/3.

Answer:

please this search in Google

Answer:

B

Step-by-step explanation:

Answer:

Answer B.

Because we know He's checking the experiment every 5 minutes.

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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The student is -3.75 ft below sea level, and the absolute value is 3.75 ft.

The vertical number line starts at negative 5.5 and the tick marks are every one half unit up to positive 1.5. The value negative 3.75 is labeled. Therefore, the student is -3.75 ft below sea level.

The absolute value represents the distance between the plotted value and zero (sea level) without considering the direction (above or below). In this case, the absolute value is 3.75 ft.

The value of 96.1% of 146 is 140.31

percentage, a relative value indicating hundredth parts of any quantity.

We have to find the value of 96.1% of 146.

Convert 96.1% to the decimal value by dividing with 100

96.1/100=0.961

Now multiply 0.961 with the 146 to find the value.

0.961×146

140.306

Hence, the value of 96.1% of 146 is 140.31

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The logic for the algorithm is Traverse both linked lists, comparing corresponding elements.

To determine if two circular linked lists, l and m, store the same sequence of elements, we can use the following algorithm:

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there are 4 triangles

there are 9 circles

there are 8 squares

there are 4 rectangles

Answer:

50 km

Step-by-step explanation:

As the figures are given similar ,

56/v = 84/75

v = 56 × 75/84

v = 50 km

Answer:

v = 50

Step-by-step explanation:

The trapezoids are similar, so set up a proportion like so:

\(\frac{56}{v} =\frac{84}{75}\)

→Cross multiply:

\(\frac{4200}{84v}\)

→Divide 4200 by 84:

v = 50

Answer:

z = 99

Step-by-step explanation:

\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )

\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )

z = 99

Answer:

(a) After 9 months, the unpaid balance is $125,874.09.

(b) Over the 9 months, she paid a total of $4,918.56 in interest.

To create the amortization table, we can use the formula for calculating the monthly payment of a loan:

P = (r * A) / (1 - (1 + r)^(-n))

where:

P = monthly payment

r = monthly interest rate

A = loan amount

n = total number of payments

In this case, we have:

A = $128,000.00

n = 25 years * 12 months/year = 300 months

r = 5.3% / 12 = 0.00441666667

Using the formula, we can calculate the monthly payment:

P = (0.00441666667 * $128,000.00) / (1 - (1 + 0.00441666667)^(-300))

P = $770.82

Now, we can create the amortization table:

The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

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The complete question:

Evaluate the expression x² + 10x, when x = 2.

Answer:

Diverge i think.

Step-by-step explanation:

See the photo

The expression can be condensed to a single logarithm as: In(6x^9) - In(x^2) = In(6x^7)

We can use the quotient rule of logarithms, which states that:

log(base a)(b) - log(base a)(c) = log(base a)(b/c)

Using this rule, we can simplify the expression as:

In(6x^9) - In(x^2) = In(6x^9/x^2)

Now, we can simplify the expression inside the logarithm by dividing 6x^9 by x^2:

In(6x^9/x^2) = In(6x^7)

Therefore, the expression can be condensed to a single logarithm as: In(6x^9) - In(x^2) = In(6x^7)

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Answer:

NO

Step-by-step explanation:

since the interval contains values above 0.5, it is plausible that more that 50% of students prefer using a computer for notes.

Using the given confidence interval, since it's upper bound is above 50%, the newspaper is not justified in this statement.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

Hence, in this problem, we are 99% confident that the proportion is between 0.322 and 0.511. Since the upper bound of the interval is above 50%, there is not enough evidence to say that the proportion is below 50%, hence the newspaper is not justified in this statement.

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Answer:

3071.6 ft

Step-by-step explanation:

In this situation,

We can use sine law,

in which Sin angle = opposite side/ hypotenuse

Similarly

In triangle ABC

SIn A=BC/AC

Sin 19°=1000/AC

Doing criss cross multiplication:

AC= 1000/(Sin 19°)

AC=3071.55 ft

Therefore, the distance I ski down the mountain is 3071.6 ft

The diagram is below.

==============================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(19) = 1000/x

xsin(19) = 1000

x = 1000/sin(19)

x = 3071.553487

x = 3071.6

Refer to the diagram below.

Note that the angle of depression ACD is equal to the angle of elevation BAC because of the alternate interior angles theorem.

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1

V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

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Answer:

  $1377.06

Step-by-step explanation:

You want the monthly payment on a 30 year loan of $162359 at 9.6% interest.

The payment value can be computed by any spreadsheet and most graphing calculators using built-in financial functions. Numerous apps and web sites are available for the same purpose.

The monthly payment is $1377.06 according to the attached calculator output.

The formula used for the purpose is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12·t))

where P is the loan value, r is the annual interest rate, and t is the number of years. For P=162359, r=0.096, and t=30, you have ...

  A = 162359(0.096/12)/(1 -(1 +0.096/12)^-360) ≈ 1377.06

__

Additional comment

The formula assumes the payment is made at the end of the month. Spreadsheet and calculator functions often need to be told that's when the payment is made.

There are 15 cats in the animal shelter.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.

Let's set up the proportion.

5/3 = 25/c

We can then solve for c by multiplying both sides by c.

5c/3 = 25

c = 15

Therefore, there are 15 cats in the animal shelter.

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Answer:

12

the power of two are increased and become 12

answer is 2 power 12

CAN I GET BRAINLIEST NOW

Answer:

The answer would be 12 I hope this helps.

Answer:

-3 , -3.305 , -3.35 , 0 , 3.15 , 3.4

The ratio of mixture to copper is equal to 6:1.

Given the following data:

To determine the ratio of mixture to copper:

Ratio is a mathematical expression that denotes the proportion of two (2) or more quantities with respect to one another and the total quantities.

First of all, we would determine the total quantity of mixture of metal as follows:

\(Mixture = 20+10\)

Mixture = 30 pounds.

For the ratio:

\(M:C = 30:5\)

Dividing both sides by 5, we have:

\(M:C = 6:1\)

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Answer 868 miles

Step by step

Given: The scale from a map to actual distance is 2.5 cm to 620 miles. If the distance on the map between Chicago and Boston is about 3.5 cm. Hence, the approximate distance between Chicago and Boston = 868 miles.

If the distance on the map between Chicago and Boston is about 3.5 cm.

Then, the actual distance between them =  3.5\times 248 \text{ miles}=868 \text{ miles}

Hence, the approximate distance between Chicago and Boston = 868 miles.

i.e.  1 cm on map = 620/2.5 miles =  248 miles

Answer:868 miles

Step-by-step explanation: 1cm=620/2.5 = 248

distance is about 3.5

3.5x 248=868

Answer:

whats the question?

Step-by-step explanation:

Answer:

They might can run to the end together, or one go to the end first.

Step-by-step explanation:

The dog can run fast.

The cat can jump fast.

If the dog or cat one is fat, the the other will get to the end first, if they both fat or both not fat, then they might get to the end together.