Solve Inequalities: Show all steps and graphon a number line 25) 4x + 7 > 3726) -5x +9 _> 2427) 7x - 28 _> -728) 3x-5 _< 2x-13

To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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Answer:

.

Step-by-step explanation:

x^2 + 2x + 8x + 16 = 10x + x^2 (FOIL)

x^2 + 10x + 16 = 10x + x^2 (add like terms)

16 = 0 (10x and x^2 cancel out on both sides)

(x+8)(x+2) is NOT equal to 10x+x^2

The maximum height of the golf ball on Mars is about 48.8 meters.

To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:

0 = -1.9t² + 26t

Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.

To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.

In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:

= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters

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Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

Recall the compounding formula:

A = P * \(e^{rt}\)

Where:

A = Final amount in the account

P = Initial principal (deposit)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Given:

Initial principal (P) = $16,000

Annual interest rate (r) = 2%  = 0.02

time (t) = 4 years.

Substitute these values into the formula, we get:

A = $16,000 * \(e^{0.02 * 4}\)

Using a calculator, we can calculate:

A = $16,000 * \(e^{0.08}\)

A = $16,000 * 1.0833

A = $17,332.8

Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

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Given that it takes 1/3 of a bag of flour to make 1 batch.

r

The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

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Answer:

They both come in the 8 times table.

Answer:

it's the 'D' ..............,..

The correct definition for sec(0) is 1

The adjacent side to hypotenuse ratio is known as the cos function. It aids in determining the triangle's side lengths regardless of the provided angle. If the angle between the adjacent side and the hypotenuse of a right triangle is, we may write this using the cosine function. Adjacent Side/Hypotenuse = Cos.

Given:

A trigonometric identity,

sec(0).

The function sec(x), short for secant of x, is defined as the reciprocal of the cosine of x.

Therefore, sec(0) is equal to the reciprocal of the cosine of 0.

That means,

sec(0) = 1/cos(0)

The cosine of 0 is equal to 1, so sec(0) is equal to the reciprocal of 1, which is simply 1.

sec(0) = 1/1

sec(0) = 1

Therefore, sec(0) = 1.

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Answer:

(x+4)^2  -25

Step-by-step explanation:

x²+8x-9 in the form  (x+k)² +h.

We need to complete the square.

x^2 +8x   -9

Take the coefficient of x.

8

Divide by 2.

8/2 =4

Square it.

4^2 = 16

Add this then subtract i.

x^2 +8x+16    -16   -9

The x^2 +8x+16 becomes  (x+4) ^2  and we can simplify the remaining terms.

(x+4)^2  -25

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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AS per the concept of Compound interest,

(a), The amount owed at the end of 1 year is $8,400

(b) The amount owed at the end of 2 year is $ 9,408

Compound interest:

The general formula to calculate the compound interest is

A = P(1 + r/n)ⁿˣ

where

A represents Accrued amount (principal + interest)

P represents Principal amount

r represents Annual nominal interest rate as a decimal

n represents number of compounding periods per unit of time

x = time

Given,

Suppose Charmaine borrows $7500 at an interest rate of 12% compounded each year. Assume that no payments are made on the loan.

Here we need to find the following,

a)the amount owed at the end of 1 year.

b) the amount owed at the end of 2 year.

From the given details we know that the value of

Principal amount = $7,500

Interest rate = 12%

Part a) the amount owed at the end of 1 year is calculated as,

Here we have to convert R as a percent to r as a decimal

r = R/100

r = 12/100

r = 0.12 rate per year,

Then solve the equation for A

A = 7,500.00(1 + 0.12/1)(1)(1)

A = 7,500.00(1 + 0.12)(1)

A = $8,400.00

Therefore, the amount owed at the end of 1 year is $8,400.

Part b) The amount owed at the end of 2 year is calculated as,

In this one the value of principal amount interest rate are same but the value of year only differs as 2,

So, the amount is

=>A = 7,500.00(1 + 0.12/1)(1)(2)

=> A = 7,500.00(1 + 0.12)(2)

=> A = $9,408.00

Therefore, the amount owed at the end of 2 years is $9,408.

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Answer:

Write inequality and for problem

equal to 10.

Answer:

C.

Step-by-step explanation:

I honestly forget how to do this.

All credit goes to victoradisla08

The value of X is 11100.

The average annual number of jobs available for registered nurses is 103,900. If we assume a normal distribution with a standard deviation of 8040, find the probability that: B. More than 80,000 but less than 95,000 jobs are available for RNs and C. If the probability is 0.1977 that more than X amount of jobs are available, find the value of X.(B) More than 80,000 but less than 95,000 jobs are available for RNsZ = (X-μ)/σZ1 = (80000 - 103900)/8040 = -1.73Z2 = (95000 - 103900)/8040 = -0.51The probability that the number of jobs is between 80,000 and 95,000 is P(-1.73 < Z < -0.51) = P(Z > -0.51) - P(Z > -1.73) = 0.6965 - 0.0423 = 0.6542

Therefore, the probability that more than 80,000 but less than 95,000 jobs are available for RNs is 0.6542.(C) If the probability is 0.1977 that more than X amount of jobs are available, find the value of X.Since we don't have a specific value of X, we will find the Z-score corresponding to the given probability: P(Z > Z) = 0.1977Using standard normal tables, we find that the Z-score is approximately 0.84. Therefore:0.84 = (X - μ) / σX = μ + 0.84σSubstituting in the given values: X = 103900 + 0.84(8040)X = 11073.6Rounding to the nearest whole number, the value of X is 11100.

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Answer:

Step-by-step explanation:

1 Hour = 60 minutes

60  + 60 = 120 minutes

120 minutes = 2 hours

Add 10 minutes

2 hours 10 minutes = 130 minutes

The end behavior of the function:

As x decreases in value, f(x) decreases in value.

As x increases in value, f(x) increases in value.

The correct option is C.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

The function starts at the point (minus 3, 0) and extends upwards and to the right.

Some major points on the graph are (0, 3), (2, 4), and (5, 5).

The graph of the function is given in the image below.

The end behavior of the function:

As x decreases in value, f(x) decreases in value.

As x increases in value, f(x) increases in value.

Therefore, as x increases in value, and f(x) increases in value.

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The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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Answer: so the answer is -9 + 23*7 =  152  

Step-by-step explanation:  a24  = a1 + (24-1)d    where a1 = -9 and d = common difference ( 12-5 = 7)  

Hope this helped :D

The range of the graph is (-2, 10]

From the question, we have the following parameters that can be used in our computation:

The graph

Thr range of the graph is the set of its output values

Using the above as a guide, we have the following:

Minimum y = -2 (exclusive)

Maxumum y = 10 (inclusive))

Using the above as a guide, we have the following:

Range = (-2, 10]

Hence the range is (-2, 10]

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Answer:

-21

Step-by-step explanation:

-12+(-9)= -21

Answer:

-21 is the answer to this question

Answer:

5hrs & 30mins

Step-by-step explanation:

Answer:

Answer is 5 hours and 30 min

Step-by-step explanation:

Answer:

I can explain how to complete each of the steps you have provided.

1. Draw a point at (1, -2)

This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).

2.

Draw an 8-unit long radius

Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.

3. Using a compass

Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.

4. Using a protractor draw a 70 degree arc

Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.

5. Draw a central angle which intercepts your arc

Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.

6. Draw an inscribed angle which intercepts a 40 degree arc

Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.

7. Draw a tangent line

Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.

8. Draw a secant line

Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.

9. Equation of your circle

The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.

Answer:

because f(n) = f(n + 1)

=> f(3) = f(2) = f(1) = 9

Hello ~

My name is Sxnnysoul, and I will be answering your question today! :D

We can make an explanation of a quick way, or the long way.

⇢ \(\sf{\sqrt{34}\)

⇢ \(\sf{Refine \: to \: a \: decimal \: form:}\)

⇢ \(\sf{= \: 5.83095}\)

Which this one I am talking about of the Square root of an fraction or a prime factorization.

⇢ \(\sf{Find \: the \: prime \: factors \: of \: 34.}\)

⇢ \(\sf{The \: prime \: factors \: of \: 34 \: are \: 2 \: and \: 17.}\)

⇢ \(\sf{34 \: = \: 2 \: ^. \: 17}\)

Hope It Helps! ~

~ Learn With Sxnnysoul ~

\(\underline{Answer :}\)

ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ

Answer:

135

Step-by-step explanation:

use bidmas or bodmas

(9 × 3) 5

brackets first then multiply and if its addition add it or multiplication then times it

The fan spent $35 in all if One thirsty fan ordered four sodas in the first half ond three in the second half, if each soda was $5.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

given,

One thirsty fan ordered four sodas in the first half ond three

in the second half, if each soda was $5.

The fan ordered 4 sodas in the first half and 3 sodas in the second half, for a total of 4+3 = 7 sodas.

If each soda costs $5, then the total amount spent on soda is 7 * $5 = $35.

Therefore, the fan spent $35 in all.

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