Write 2^3 x 2^4 as a single power of 2

Answer:

Velocity, Acceleration, Speed

Step-by-step explanation:

Answer:

Reduction; enlargement

Step-by-step explanation:

When the scale factor is between 0 and 1, the figure  shrinks, making it a reduction in size.  When its greater than 1, the figure grows, enlarging it.  If the scale factor is 1, the figure stays the same and doesn't shrink or grow.

Answer:

Answer is below

Step-by-step explanation:

A dilation with a scale factor between 0 and 1 is a reduction, while a dilation with a scale factor greater than 1 is an enlargement.

If you multiply the scale factor by more than 1, the scale factor will increase, causing an enlargement. If you multiply the scale factor by between 0 and 1, the scale factor will decrease, causing a reduction.

Answer: The absolute value inequality will be |x| ≥ -2.

Step-by-step explanation: gl :)

Answer:

more simple here da answer but this answer is from the person above i just putted the answer

The absolute value inequality will be |x| ≥ 6

Answer:

15 nickels

Step-by-step explanation:

so you know she has 7 dimes so youre starting off at .70

how much money would it take to get from .70 to 1.45?

.75 cents to get from .70 to 1.45 which is 15 nickels

Answer:

0.15n + 0.70 = 1.45

5 nickels

Step-by-step explanation:

Nickel = 5 cents = $0.05

Dime = 10 cents = $0.10

Let n = number of nickels

Let d = number of dimes

Given:

Equation 1:   0.05n + 0.10d = 1.45

Equation 2:   d = n + 7

Substitute Equation 2 into Equation 1 and solve for n:

⇒ 0.05n + 0.10(n + 7) = 1.45

⇒ 0.05n + 0.10n + 0.70 = 1.45

⇒ 0.15n + 0.70 = 1.45

⇒ 0.15n = 0.75

⇒ n = 5

Therefore, Bella had 5 nickels and 12 dimes.

Answer:

D and E are both greater than 1

Step-by-step explanation:

2(-6)+7=-5

2(-5)+7=-3

2(2)+7=11

2(3)+7=13

The situation described, where Joe overheard 5 girls talking about their love for princess movies and then concluded that all girls love princess movies, is an example of a hasty generalization.

A hasty generalization occurs when a person makes a broad assumption or generalization based on a small or limited sample size. In this case, Joe is assuming that all girls share the same interest in princess movies based on the opinion of only 5 girls.

It is important to recognize that not all girls have the same preferences and interests, and it would be more accurate to gather a larger and more diverse sample before making such a conclusion.Making hasty generalizations can lead to inaccurate or unfair judgments.

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The explicit relation between x and y in the form is (x2)2+(y2)2=sin2+cos2.

Given that x=2sin, y=2cos, and 0 are constants,

Simplify the parametric functions that are presented. Add their squares after taking them. The following trigonometric identity can be used:

sin2θ+cos2θ=1sin2⁡θ+cos2⁡θ=1

x=2sinθ,

y=2cosθ,0≤θ≤2πsinθ

=x2cosθ,

=y2x

Y=2sin⁡θ,

y=2cos⁡θ,0≤θ≤2πsin⁡θ=x2cos⁡θ=y2

Square them now and add them:

(Using the trigonometric identity sin2+cos2=1)x24+y24=1, where (x2)2+(y2)2=sin2+cos2)

(Using the trigonometric identity sin2+cos2=1)x24+y24=1, where (x2)2+(y2)2=sin2+cos2)

A parameter in a parametric equation can stand in for anything, including an angle. When a parameter is an angle—as opposed to a non-angle parameter—the plane curve can be graphed by choosing values for the angle and computing the x- and y-values.

Hence, the explicit relation between x and y in the form is (x2)2+(y2)2=sin2+cos2.

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a. i. R(3): The amount of rain after 3 hours

ii. R(0.5) = 14: There is 14 millimeters of rain after 0.5 hour

b. i. R(6) = 37

ii. Using the function notation, R(1.5) = R(2)

Since function R gives the amount of rain measured by a rain gauge t hours since it started raining and the amount of rain is measured in millimeters.

a. The representation of the expression or equation in this situation will be:

i. R(3): This represent the amount of rain after 3 hours

ii. R(0.5) = 14: There is 14 millimeters of rain after 0.5 hour

b. Using function notation to represent each statement.

i. Six hours after it started raining, the amount of rain was 37 millimeters is R(6) = 37

ii. Since the function time time is in hours, you need to convert the time to hours. That is:

90 minutes = 90/60 = 1.5 hours     (Remember: 60 minutes = 1 hour)

120 minutes = 120/60 = 2 hours

Thus, the function notation will be:

R(1.5) = R(2)

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The total number of registered doctors is roughly 183,156 + 52,600 = 235,756 when rounded to the nearest whole number.

In a recent year, 52,600 female registered doctors accounted for 28.7 percent of all registered doctors. The total number of registered physicians, rounded to the nearest whole number,

To begin, calculate the percentage of male registered doctors: 100 percent - 28.7 percent = 71.3 percent, which represents the percentage of male registered doctors.

Find the number of male registered doctors: 0.713 × x = (male registered doctors) 0.713 × x = x - 52,600 0.287 × x = 52,600x = 183,156.42 ≈ 183,156 .
In order to calculate the total number of registered doctors, it is necessary to first find the number of male registered doctors.

The number of female registered doctors has already been provided, which is 52,600. Let x be the total number of registered physicians, then the percentage of female registered doctors can be expressed as:

0.287x = 52,600. Solving for x, we get x = 183,156.42, but this is not a whole number.

To round this to the nearest whole number, we add 0.5 to it (since the decimal is greater than or equal to 0.5), and then take the integer part of the result.

This gives us 183,156 + 0.5 = 183,156.5.

Since this is halfway between 183,156 and 183,157, we round up to 183,157.

Adding the number of female registered doctors to this, we get: 183,157 + 52,600 = 235,757.

So the total number of registered doctors is approximately 235,757 when rounded to the nearest whole number.

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Answer:

Explanation:

(-6 + 3i) + (6 + 4i)

-6 + 6 = 0

3i + 4i = 7i

Answer:

70°

Step-by-step explanation:

∠A =112°,

Exterior angle to angle B is 2x, therefore ∠B = 180 -2x (angle on straight line)

Exterior angle to angle C is 2x + 12, therefore ∠C = 180 -(2x +12) (angle on straight line) = 180 - 12 -2x = 168 - 2x

∠A + ∠B + ∠C = 180 (sum o angles in a triangle)

112 + 180 - 2x + 168 - 2x = 180

460 - 4x = 180

4x = 460 - 180 = 280

x = 280/4 = 70

x = 70°

Answer:

70º

Step-by-step explanation:

i took the test

To calculate the probability of two separate events using the ratio method, we must first understand the odds associated with each event. The odds are expressed as a ratio, with the first number representing the chances of success and the second number representing the chances of failure. For example, the odds of an event happening might be 3:2, which indicates that there is a 3/5 chance of success.

Once the odds for each event are known, we can calculate the probability of both events occurring by multiplying the odds of each event together. So, for example, if the odds of Event A are 3:2 and the odds of Event B are 4:5, the probability of both events occurring is 3/2 * 4/5 = 6/10. This means that there is a 6 in 10 chance of both events occurring.

To sum up, calculating the probability of two separate events using the ratio method is fairly simple. Just look at the odds associated with each event and multiply them together to get the probability of both events occurring.

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Answer:

did you figure out the answer because I need it please

Answer:

a. geometric

b. an =  2(2)^n-1 or an = 2^n

c. an+1 = an x 2

Step-by-step explanation:

The sequence, 2, 4, 8, 16, 32,...

a. The sequence is geometric because there is a common ratio in the numbers of the sequence. Each number is made by multiplying the common ratio and the previous number.

b. The explicit formula that can be used to find any term is an =  2(2)^n-1 or an = 2^n

Note: the variable n and number 1 is written in italics to show that it should be in subscript

an = a1 (r)n-1

With the common ratio of n being 2 and first number being 2, we have:

an =  2(2)^n-1

or

an = 2^n

c. The recursive formula for the sequence is an+1 = an x 2

an+1 = an x r

Plugging in the values, we have

an+1 = an x 2

Your welcome, and comment if you have any questions! If you could mark this answer as brainliest, I would appreciate it very much!

Answer:

The answer is 64 degrees

Step-by-step explanation:

D on edg

Answer:

D- 64 degrees

Step-by-step explanation:

The population at time n=9 is approximately 11.95. The term "population" refers to the entire set of individuals, objects, or events that are of interest to a researcher or analyst.

Based on the given information, we have:

Initial population (P0) = 10

Growth rate (r) = 0.2

To find an explicit formula for Pn, we can use the formula for exponential growth:

Pn = P0 * (1 + r)^n

Substituting the given values:

Pn = 10 * (1 + 0.2)^n

Simplifying the formula, we have:

Pn = 10 * 1.2^n

Using this formula, we can find P9:

P9 = 10 * 1.2^9 ≈ 11.95

Therefore, the population at time n=9 is approximately 11.95.

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Answer:

Yes

Step-by-step explanation:

425 * 4 = 1700

She has 1700 chips

315 * 5 = 1575

She needs 1575 chips

1575 < 1700

She has enough chips.

The rate of change for the equation y - x = 10 is 1.

To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.

We can rewrite the equation as y = x + 10 by adding x to both sides.

Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.

In other words, as x increases by 1 unit, y will increase by 1 unit as well.

As a result, 1 represents the rate of change for the equation y - x = 10.

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(a) The half-yearly payment required for each five-year interval is $37,746.88. (b) The loan outstanding (outstanding balance) at the beginning of each five-year interval:

Year 1: $853,469.14

Year 6: $673,474.96

Year 11: $448,225.59

Year 16: $182,231.23

Year 21: $0.00. (c) The loan amortization table for the final 12 half-years is provided.

(a) The half-yearly payment required for each five-year interval is **$37,746.88**.

To calculate the half-yearly payment for each five-year interval, we need to consider the changing interest rates and the total number of periods.

For the first five years, the interest rate is 5.5% per annum, which is equivalent to 2.75% per half-year. The total number of periods for this interval is 10 (5 years multiplied by 2 half-years per year).

Using the formula for calculating the loan repayment amount for an annuity:

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

Where:

A is the periodic payment

P is the principal amount of the loan ($900,000)

r is the interest rate per period (2.75%)

n is the total number of periods

By substituting the values into the formula, we can calculate the half-yearly payment for this interval:

A = 900,000 * (0.0275 / (1 - (1 + 0.0275)^(-10)))

 ≈ 900,000 * 0.0275 / 0.383

 ≈ 37,746.88

Therefore, the half-yearly payment required for each five-year interval is $37,746.88.

(b) The loan outstanding (outstanding balance) at the beginning of each five-year interval is as follows:

Year 1: $853,469.14

Year 6: $673,474.96

Year 11: $448,225.59

Year 16: $182,231.23

Year 21: $0.00

At the beginning of the loan, the outstanding balance is the same as the principal amount, which is $900,000.

To calculate the outstanding balance at the beginning of each five-year interval, we need to consider the changing interest rates and the number of periods.

After the first five years, the interest rate increases by 12% every five years. We can calculate the new interest rate for each interval:

Year 6-10: 5.5% + (5 * 12%) = 11.5%

Year 11-15: 5.5% + (10 * 12%) = 17.5%

Year 16-20: 5.5% + (15 * 12%) = 23.5%

Year 21-25: 5.5% + (20 * 12%) = 29.5%

Using the formula for the outstanding balance of an annuity, we can calculate the outstanding balance at the beginning of each five-year interval, considering the new interest rate and the number of periods:

Year 1: $900,000

Year 6: $900,000 * (1 + 0.115)^10 - (37,746.88 * ((1 + 0.115)^10 - 1) / 0.115) ≈ $853,469.14

Year 11: $853,469.14 * (1 + 0.175)^10 - (37,746.88 * ((1 + 0.175)^10 - 1) / 0.175) ≈ $673,474.96

Year 16: $673,474.96 * (1 + 0.235)^10 - (37,746.88 * ((1 + 0.235)^10 - 1) / 0.235) ≈ $448,225.59

Year 21: $448,225.59 * (1 + 0.295)^10 - (37

,746.88 * ((1 + 0.295)^10 - 1) / 0.295) ≈ $182,231.23

Year 26: $0.00 (loan fully paid off)

Therefore, the outstanding balance at the beginning of each five-year interval is as mentioned above.

(c) The loan amortization table for the final 12 half-years of the loan term is as follows:

| Payment | Principal Payment | Interest Payment | Outstanding Balance |

|---------|------------------|-----------------|---------------------|

| 1       | $30,273.59       | $12,473.29      | $151,957.38         |

| 2       | $31,095.26       | $11,651.62      | $120,862.12         |

| 3       | $31,933.51       | $10,813.38      | $88,928.61          |

| 4       | $32,788.28       | $9,958.61       | $56,140.33          |

| 5       | $33,659.48       | $9,087.41       | $22,480.85          |

| 6       | $22,480.85       | $4,937.01       | $0.00               |

The loan amortization table shows the payment number, the principal payment, the interest payment, and the outstanding balance for each half-year during the final 12 half-years of the loan term. The principal payment represents the portion of the payment used to reduce the loan balance, while the interest payment represents the interest charged on the outstanding balance. As the payments progress, the outstanding balance decreases until the loan is fully paid off in the final payment.

Please note that the calculations in the table are based on the given information and assumptions made for the loan.

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(i) The graph is attached below. (ii) the minimum value of the function is h = 30, when x = 5. (iii) the horizontal distance traveled by the rider between the two splashes is 2 × 9 m = 18 m.

Acceleration is a physical quantity that measures the rate at which the velocity of an object changes over time. It is a vector quantity, meaning that it has both magnitude and direction.

Acceleration is defined as the change in velocity of an object divided by the time interval over which the change occurred. It is typically measured in meters per second squared (m/s²) in the metric system, or in feet per second squared (ft/s²) in the imperial system.

If the velocity of an object is increasing, its acceleration is said to be positive. If the velocity is decreasing, the acceleration is said to be negative or deceleration. If the velocity is constant, there is no acceleration.

(i) Using the given scale, we can plot the graph of h = 1.2x² - 12x + 30 for 0 ≤ x ≤ 10 as follows:

Parabolic graph is attached below.

(ii) The constant term 30 in the equation represents the minimum height of the pirate ship ride above ground level. This is because the equation is in the form of a quadratic function in standard form, y = ax² + bx + c, where the vertex of the parabola is at the point (-b/2a, c - b²/4a). In this case, the vertex is at (5, 0), which means that the minimum value of the function is h = 30, when x = 5.

(iii) We are given that a rider is 19.2 m above ground level, which means that h = 19.2. We can substitute this value into the equation and solve for x:

19.2 = 1.2x² - 12x + 30

1.2x² - 12x + 10.8 = 0

x² - 10x + 9 = 0

(x - 1)(x - 9) = 0

Therefore, the rider is at a height of 19.2 m when he is either 1 m or 9 m away from the starting point. Since the rider swings back and forth, the distance between the two splashes is twice the distance from the starting point to either splash. Therefore, the horizontal distance traveled by the rider between the two splashes is:

2 × 9 m = 18 m

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Answer:

the sum means the result of adding so you would add them,

Step-by-step explanation:

d+8

Answer:

C or A

Step-by-step explanation:

plz mark brainliest

we can identify the optimal solution point by evaluating the objective function (5A + 5B) at each corner point of the feasible region.

1A ≤ 100

1B ≤ 80

2A + 4B ≤ 400

A ≥ 0, B ≥ 0

First, plot the lines corresponding to the equations:

1A = 100 (let's call it line A)

1B = 80 (line B)

2A + 4B = 400 (line C)

Now, let's shade the feasible region determined by the constraints. This region is bounded by the lines and the non-negativity constraints (A ≥ 0, B ≥ 0).

The feasible region will be the area of the graph that satisfies all the constraints and lies within the boundaries.

Once we have the feasible region, we can identify the optimal solution point by evaluating the objective function (5A + 5B) at each corner point of the feasible region.

Finally, we select the corner point that gives the maximum value of the objective function.

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Answer:

$35.53

Step-by-step explanation:

1. Divide what Kelly paid by the amount of gallons she paid for.

a. 29.26 divided by 14 = 2.09

2. Take the amount per gallon and multiply it by 17.

a. 17 times 2.09 = 35.53

So it will be $35.53 for 17 gallons of gas.

Answer:

35.53

Step-by-step;

So Kelly got 14 gallons of gas for 29.26. She is wondering how much it would be to fill it up to 17 gallons. So what you have to do is first find out how much the gas cost per gallon. so you would divide 29.26 by 14 to get 2.09. so now that you have how much it is per gallon all you have to do is multiply the amount per gallon {2.09} by 17. so when you multiply 2.09 by 17 you get 35.53. So Kelly had to pay 35.53 for a 17 gallon tank of gas!

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Answer: Your welcome!

Step-by-step explanation:

The students can decorate the circles for placemats in a variety of ways. They can use paint, markers, fabric, or any other creative material of their choice. They can also add images, shapes, and words to the circles. They could even attach ribbons or other decorations to the circles to create a unique design. The possibilities are endless!

Answer:

5 hours

Step-by-step explanation:

Your equation is 105 = 15x + 30 subtract 30 from both sides, then divide by 15 to get x = 5 hours.

Brainliest would be apprappreciated. :-)

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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Answer:

width = 2 in

length = 13 in

Step-by-step explanation:

x(11+x) = 26

x² + 11x - 26 = 0

(x + 13)(x - 2) = 0

x = 2

Answer:

m of angle 3=87

m of angle 4=93

Step-by-step explanation:

angle 4= 180-40-47 =93 (angle sum property)

angle 3= 180-93= 87 (linear pair)