Christopher has $900 in an account. He decides to take out $25 each month for savings. Model the information for how much money is left in the account.
What type of model is this? *
Arithmetic
Geometric

Answer:

above sea level

Step-by-step explanation:

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.

The change in the amount of seed in the feeder in 7 days is 15.12 ounces.

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

A man can run 3 miles in 60 minutes.

The time to run 1 mile is 20 minutes.

We have,

The rate at which the amount of seed decreases.

10.8 ounces = 5 days

Divide both sides by 5.

10.8/5 ounces = 1 day

Multiply 7 on both sides.

7 x 2.16 ounces = 7 days

15.12 ounces  = 7 days

This means that in 7 days, the amount of seed decreases by 15.12 ounces.

Thus,

If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.

The change in the amount of seed in the feeder in 7 days is 15.12 ounces.

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The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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Answer:

corresponding angles postulate

Step-by-step explanation:

just took the test ;)

A light rail system can be described as a smaller rail-based transportation system that is powered by electricity, providing efficient and sustainable urban transit options for passengers.

A light rail system refers to a smaller rail-based transportation system that operates within urban or suburban areas. It typically consists of light rail vehicles (LRVs) that run on tracks, similar to a traditional railway system. However, light rail systems are designed to serve shorter distances and provide more frequent stops compared to heavy rail systems.

One distinguishing characteristic of a light rail system is that it is powered by electricity. The LRVs usually run on overhead electrical wires or through an electrified third rail system. This electric power source allows for a more sustainable and environmentally-friendly mode of transportation.

Light rail systems are often integrated into the existing urban infrastructure and provide convenient and efficient transportation options for commuters. They offer a balance between the capacity of traditional heavy rail systems and the flexibility of buses. Light rail vehicles can accommodate a significant number of passengers and operate on fixed routes, offering a reliable and comfortable mode of public transportation.

Overall, a light rail system can be described as a smaller rail-based transportation system that is powered by electricity, providing efficient and sustainable urban transit options for passengers.

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Answer:

m=3/2

Step-by-step explanation:

The exact area of the region described is 771/50 square units.

To find the area of the region described, we need to determine the points of intersection of the given curves and then calculate the area enclosed by those curves.

First, let's find the points of intersection by setting the equations equal to each other:

y - 2(x + 1) = y - 3(x + 1)

x - 5 = y - 2(x + 1)

Simplifying these equations, we get:

-2x - y + 1 = 0 ----(1)

3x - y - 7 = 0 ----(2)

To find the points of intersection, we can solve this system of equations.

Subtracting equation (2) from equation (1), we get:

-5x + 8 = 0

x = 8/5

Plugging this value of x into equation (1), we get:

-2(8/5) - y + 1 = 0

-16/5 - y + 1 = 0

y = 16/5 - 1

y = 11/5

So the points of intersection are (8/5, 11/5).

Now, let's determine the region bounded by these curves.

The curves y - 2(x + 1) and y - 3(x + 1) intersect at (8/5, 11/5), and the curve x - 5 intersects the x-axis at x = 5.

To find the area, we integrate the upper curve and subtract the lower curve with respect to x, over the interval [5, 8/5]:

Area = ∫[5, 8/5] [y - 2(x + 1)] - [y - 3(x + 1)] dx

Simplifying, we get:

Area = ∫[5, 8/5] -x - 1 dx

Integrating, we have:

Area = [-x^2/2 - x] evaluated from 5 to 8/5

Substituting the limits of integration, we get:

Area = [-(8/5)^2/2 - 8/5] - [-(5)^2/2 - 5]

Simplifying, we get:

Area = [-64/50 - 8/5] - [-25/2 - 5]

Area = [-64/50 - 40/50] - [-25/2 - 10/2]

Area = [-104/50] - [-35/2]

Area = -104/50 + 35/2

Area = (-104 + 875) / 50

Area = 771/50

Therefore, the exact area of the region described is 771/50 square units.

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Answer:

27π

Step-by-step explanation:

A = πr²

  = π(6)²

   =36π

You want 3/4 of the circle

(3/4) 36π = 27π

Step-by-step explanation:

Using the point -slope form of a line this is just :

(y-2) = 3/4 ( x +8)       < ==== equation of the line

Maybe you need a different form:

y -2 = 3/4 x + 6  

y = 3/4 x + 8            <======slope intercept form of the line

or maybe you need this forrm

y = 3/4x + 8

3/4x -y = -8

3x-4y= -32         <====another form of the line

Answer:

-2497

Step-by-step explanation:

Sn=n/2[2a+(n-1)d]

=22/2[2*-40+(22-1)d]

=11(2*-40+(21*-7)

= -2497

Answer:

The larger share is $450.

Step-by-step explanation:

\(\frac{3}{5} =\frac{3x}{5x} \\\\3x-the smaller share\\5x-the larger share\\3x+5x=8x\\8x-money to split\\8x=720 /:8\\x=90\\5x=5*90=450\)

Answer:

270

Step-by-step explanation:

5 x 7 x 6= 210

2 x 5 x 6= 60

210 + 60= 270

The required volume of the fish tank is 240 cubic inches. option D is correct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The requried volume of the figure is given as,
Volume  = height [area of the plot]

Since the area of the plot is given as,
area = area of the left rectangle + area of the right triangle.
area = 5 × 7 + 1/2 × [12-7]×[5-3]
area = 35 + 5
area = 40 square inches.

Volume = 6 [40]

Volume = 240 in³

Thus, the required volume of the fish tank is 240 cubic inches. option D is correct.

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Answer:

3^4

Step-by-step explanation:

Therefore, the product of 3 × 3 × 3 × 3 written as a power is 3^4.

Answer:

19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

because the more you go up the amount increases

Based on the given data from the crossover trial comparing two pain relievers (drugs A and B), we can conclude that there is evidence to suggest that the mean pain level is higher with drug B.

The appropriate null and alternate hypotheses are:

Null hypothesis (H0): μ1 = μ2 (There is no difference in the mean pain level between drug A and drug B)

Alternate hypothesis (H1): μ1 < μ2 (The mean pain level is higher with drug B)

To compute the P-value using the TI-84 Plus calculator, we need to perform a paired t-test on the data. By calculating the t-statistic for the paired differences and degrees of freedom, we can obtain the P-value associated with the observed difference. Using the P-value method, the obtained P-value is compared to the significance level (α = 0.10) to make a decision.

If the computed P-value is less than the significance level (0.10), we reject the null hypothesis. This indicates that there is sufficient evidence to support the alternative hypothesis, suggesting that the mean pain level is indeed higher with drug B.

Based on the results of the analysis, we can conclude that there is evidence to suggest that the mean pain level is more with drug B compared to drug A. However, it's important to note that this conclusion is based on the given data and the assumptions made during the analysis. Further studies with larger sample sizes and rigorous experimental designs may be needed to confirm these findings.

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The lateral surface-area of the cone with dimensions 12 cm height and 5 cm radius is 65π cm² using the formula πrl.

What is surface-area?

The overall surface area of a solid shape, item, or three-dimensional figure.It can have a flat or curved surface. Cone and cylinder surfaces are curved, but those of solid structures like the cube and cuboid have flat surfaces. The surface area of the cube is provided by 6 times side times side, which equals the area of each face side times side. The cube and cuboid have 6 faces, 12 equal edges, and 8 corners or vertices.

Given that the dimensions of cone:

Radius(r)=5 cm

Height(h) = 12 cm

slant height l =\(\sqrt{r^{2} +h^{2} }\)

                      =\(\sqrt{(5)^{2} +(12)^{2} }\)

                      =\(\sqrt{25+144}\)

                      =\(\sqrt{169}\)

                      =13 cm

Slant height (l) = 13 cm

lateral area of cone= πrl.

                                =π (5) (13)

                                =65 π cm²

The lateral surface area of cone=65 π cm²

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There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

Answer: 3 people

Step-by-step explanation:

1/5 of 30 will give us the number of students.

6

1/2 of 6, will give us the number of people who can use social media.

3 people.

Answer:

11700

Step-by-step explanation:

is the answer good luck on the test

Answer:

\(7+32-42\div 2 = 39 - 21 = 18\)

Step-by-step explanation:

Therefore, to make the game fair, you should earn a profit of $3 when you win.

To determine the profit you should earn when you win in order for the game to be fair, we need to consider the overall expected value.

In this gambling game, you win 25% of the time and lose 75% of the time. Let's assume that when you win, you earn a profit of P dollars. When you lose, you lose $1.

The expected value can be calculated as follows:

Expected Value = (Probability of Winning * Profit) + (Probability of Losing * Loss)

Since the game should be fair, the expected value should equal zero. Thus, we can set up the equation:

0 = (0.25 * P) + (0.75 * (-1))

Simplifying the equation:

0 = 0.25P - 0.75

0.75 = 0.25P

P = 0.75 / 0.25

P = 3

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The radius of the cylindrical pool is half of its diameter, so:

radius = 16 ft / 2 = 8 ft

The volume of a cylinder is given by the formula:

volume = π × radius² × height

Substituting the given values:

volume = π × 8² × 4 = 804.25 ft³

Multiplying by the conversion factor of 7.5 gallons per cubic foot, we get:

804.25 ft³ × 7.5 gal/ft³ ≈ 6032 gallons

Rounding to the nearest whole number, the pool can contain about 6032 gallons of water.

The possible values of x are positive integers that are less than 14

The perimeter of a figure is the sum of all its sides.

A triangle has 3 sides. The length of the 2 sides are given. The third side is x . Therefore,

perimeter  = 7 + 7 + x

perimeter < 28 feet

Therefore,

7 + 7 + x < 28

14 + x < 28

subtract 14 from both sides

14 - 14 + x < 28 - 14

x < 14

Therefore, the possible value of x are positive integers that are less than 14.

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Answer:

fksfk

Step-by-step explanation:

Answer: x is 8

Step-by-step explanation:

Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.

We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.

We also know that the mean of all 30 scores is 73. So we can write an equation:

[(28 * 72) + x + y]/30 = 73

Multiplying both sides by 30, we get:

2016 + x + y = 2190

So, x + y = 174.

We are given that the difference of the two scores is 22, so we can write another equation:

y - x = 22

Solving these two equations simultaneously, we get y = 98 and x = 76.

Therefore, the lower score from this morning is 76.

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The compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: \(3x - 5 < -10\) or \(3x -5 > 10\)

A number has both magnitude(its absolute value) and its sign(positive or negative).

If numbers are negative, the more their magnitude increases, the lesser they become.

If numbers are positive, the more their magnitude increases, the greater they become.

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

|x| = magnitude of x.

Thus, |3x-5| > 10 is true if (3x-5)  < -10 (since in that case, 3x-5 is negative but in negative signed values, values with more magnitude are smaller. Thus |3x-5| > |-10} = 10)

or (3x-5) > 10

(in case if (3x-5) is non-negative).

Thus, the compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: \(3x - 5 < -10\) or \(3x -5 > 10\)

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Answer:

it’s C trust me

Step-by-step explanation: