Determine any data values that are missing from the table, assuming that the data represent a linear function.

Answer:

7 years

Step-by-step explanation:

Simple interest is given by

I = PRT where I is the interest, P is the principle r is the rate and t is time

If we have 249 in the account and started with 200,

the interest is 249-200 = 49

The principle is 200 and the rate is 3.5% or in decimal form .035

Putting into the equation

49 = 200 (.035) t

49 =7t

Divide each side by 7

49/7 = 7t/7

7 =t

It will take 7 years

Answer:

7 years

Step-by-step explanation:

I = P×r×t

I = 249 - 200 = 49

49 = 200 × (3.5/100) × t

t = 49/7

t = 7

Answer:

1. 1/3, 4

2. 3/5, -2

3. 4, 1

4. -3/2, 3

5. 1, 4

Step-by-step explanation:

- The slope is x and to find it do (rise over run) for example 5/3, but since it is done for you that is not needed. That was just a reference.

- The y-intercept is where the number hits the y-axis when at 0.

9514 1404 393

Answer:

  F

Step-by-step explanation:

A hypothesis is usually proven incorrect when it fails to explain an observation. The offered statement is False. Experimentation is the most common way a hypothesis is proven incorrect.

Answer:

f

Step-by-step explanation:

Answer

12

Step-by-step explanation:

in this equation , since its a fraction you would divide. With the exponents it would be subtraction. therefore, making it 12 I hope this helps :)

Answer:

12

Step-by-step explanation:

got 100 on the test.

Answer:

y = 425x + 600

Step-by-step explanation:

So x is the months, 425 is how much he pays a month, also, 600 is the extra one time payment.

Answer:

step1

subract 2008population froom 2009 popultion

step2

answer that was subracted divide that by total area of the texas

Answer:

True

Step-by-step explanation:

Step-by-step explanation:

It is a right angled triangle so with reference angle 37°

hypotenuse (b) = 10

perpendicular (p) = x

So

tan 37° = p/ b

0.75 = x / 10

x= 0.75/10

Therefore x = 0.075

Hope it will help you :)

The value of x when rounded to nearest 10th will be 6.0

Given: a right angled triangle with hypotenuse equal to 10 units and angle opposite to the perpendicular equal to 37°

To find: value of the perpendicular [tex]x[/tex]

To find the perpendicular we can use trigonometric equation:

[tex]\sin \theta = \frac{\text{perpendicular}}{\text{hypotenuse}}[/tex]

where [tex]\theta[/tex] is the angle opposite to the perpendicular

Putting the values in the equation we get:

[tex]\sin 37 = \frac{x}{10}\\[/tex]

[tex]0.6018 = \frac{x}{10}\\[/tex]

[tex]x= 0.6018 \times 10\\x = 6.018[/tex]

So, the value of the perpendicular (x) is 6.018 units but when rounded to nearest 10th we get 6.0

Answer:

There is sufficient statistical evidence to suggest that the average weight of the ground beef packaged in small trays is 1 pound

Step-by-step explanation:

Here we have to perform a t-test

Mean = Sample mean = 1.04 lb

μ = Population mean = 1 lb

s = Standard deviation of 0.19

n = Sample size = 45

Null hypothesis H₀ = 1

Alternative hypothesis Hₐ > 1

Therefore from

[tex]t=\frac{\bar{x}-\mu }{\frac{\sigma }{\sqrt{n}}}[/tex] we have

t = 1.412

Critical t at 5% confidence level  = 1.68

at 5 % confidence level we obtain the probability P is;

P = 0.0825 > 0.05 Therefore we accept our null hypothesis that the average weight of ground beef per pack is 1 pound.

Answer: The margin of error is larger in the 90% CI than in the 80% CI.

Step-by-step explanation:

Confidence interval is written as

Sample mean ± margin of error

Margin of error = z × population standard deviation/number of samples

The z score for a 90% confidence level(1.645) is higher than the z score for a 80% confidence level(1.282)

If all other parameters(sample size and population standard deviation) remain the same, then the true statement is

The margin of error is larger in the 90% CI than in the 80% CI.

Option(A) The margin of error is larger in the 90% confidence interval than in the 80% CI because as the confidence level increases, a wider interval is required to maintain more certainty that it encompasses the true population parameter.

If we take samples from normal populations and construct two confidence intervals (CI) for which the only difference is that one of them is at the 80% confidence level and the other is at the 90% confidence level, the margin of error is larger in the 90% CI than in the 80% CI. This is because the margin of error (EBM) depends on the confidence level. A higher confidence level requires a wider interval to ensure that it captures the true population parameter with more certainty.

To construct a confidence interval, we use the form (point estimate − margin of error, point estimate + margin of error), where the margin of error depends on the confidence level and the standard error of the mean. Thus, as the confidence level increases from 80% to 90%, the margin of error needs to increase as well, resulting in a wider interval. This can be observed by comparing the 90 percent confidence interval to a 99 percent confidence interval, where the latter is wider because it leaves out less of the distribution in the tails and hence contains more of the normal distribution's probability.

Answer:

(x + 4) (x - 3) (x + 3)

Step-by-step explanation:

Answer:

12 people

Step-by-step explanation:

Because 1800 divided by 150 equals 12 people exactly

Hope this helps

Answer:

I mean I dont know how someone can have -8 strokes but if so annie has 15 more strokes then steven

Answer: A) c=18s

Step-by-step explanation: Each session means we are multiplying so we can eliminate B and C so next we must understand where to place our variables. If it is 18 per session then 18s would be the equation and equal the total cost (c) soo the answer is c=18s

The ratio of distance to time gives velocity thus a fraction of the ratio of 630 kilometers in 5 hours is 126/1.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The fraction is the division of the two numbers but the division is not wholly complete.

Given that,

630 kilometers ⇔ 5 hour

Divide both sides by 5

630/5 kilometers ⇔ 5/5 hour

126 kilometers ⇔ 1 hour

The ratio of kilometers to an hour in fraction form ⇒ 126/1

Hence "The ratio of distance to time gives velocity thus a fraction of the ratio of 630 kilometers in 5 hours is 126/1".

For more about fractions,

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The area of a square given its radius is [tex]144 cm^2[/tex]

To find the area of a square when given the radius of a circle inscribed in the square, we need to use the diameter of the circle, which is twice the radius, to determine the side length of the square.

The radius provided in this question is 6 cm.

The area of a square can be found using the formula: [tex]A = side^2.[/tex]

In this case, since we're given the radius, we need to calculate the side length first, which is 2 * radius.

Therefore, side length = 2 * 6 cm = 12 cm.

Now, calculate the area: A = 12 cm * 12 cm = [tex]144 cm^2[/tex]

Answer: The plane has flown 5,183 feet (approximately)

Step-by-step explanation: First and foremost, the plane is at vertex B of a right angled triangle ABC, and angle A measures 10°. Also the vertical side BC is the distance covered by the plane which in this case is the hypotenuse. The line BC is facing angle A which is the reference angle, hence line BC is the opposite.

With this bit of information we can calculate the distabce flown (hypotenuse) as follows;

Sin A = opposite ÷ hypotenuse

Sin 10 = 900/c

By cross multiplication we now have;

c = 900/Sin 10

c = 900/0.17364817766693

c = 5182.89

c ≈ 5183

Therefore the plane has flown 5,183 feet (approximately)

To find the distance the plane has flown, use the cotangent of the given angle (10 degrees) and multiply with the opposite side length (900 feet). The resulting value, rounded to the nearest foot, is the distance flown.

In this scenario, we have a right triangle where it's given that the vertical side BC = 900 feet, the angle at A is 10 degrees, and we need to find the length of the hypotenuse AB (distance the plane has flown). For a right triangle, the trigonometric property that relates the angle with the sides is tangent (tan), defined as the ratio of the opposite side to the adjacent side.

However, in this case, we need to use its reciprocal function, cotangent (cot), which gives the ratio of the adjacent side to the opposite side. As we know the opposite side (900 feet) and the angle (10 degrees), we can find the length of the hypotenuse (AB) using the cotangent of the angle, i.e., cot(10 degrees) = AB/900. So, AB = cot(10 degrees) * 900.

On calculating the above expression and rounding to the nearest foot, you get the distance the plane has flown.

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If 3/10 of the project was completed in 9 days, then the total project takes 30 days to complete. Therefore, it will take 21 more days to finish the remaining work.

The given problem involves a basic understanding of ratios and proportions, specifically applied to the concept of time and work. We know from the problem that 3/10 of the work was completed in 9 days. If that amount of work represents 3/10, then 1 whole or the complete work would be (10/3) times that much. We can set up the proportion as follows: 3/10 = 9/x. Solving for x gives us x = (10/3) * 9 = 30 days. So, at the same rate of work, it will take 30 days to complete the project. However, since 9 days of work have already been done, the project can be finished in 30 - 9 = 21 more days.

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Answer:

Refer below.

Step-by-step explanation:

a. Will Lady Gaga wager more or less as a result of the reimbursement offer? Less or more?

Lady Gaga wager MORE.

b. What economic concept does your answer illustrate? Adverse selection or moral hazard or irrational behavior.

The economic concept answer illustrate is MORAL HAZARD.

Due to the reimbursement clause offered to Gaga on losses made, then she will wager more. However, this could in moral hazard.

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Answer:

379.94‬

Step-by-step explanation:

A = πr²

A = 3.14 x 11²

A = 3.14 x 121

A = 379.94‬

Find the radius [ d / 2 = r ]

22 / 2 = 11cm.

Find the area [ A = πr² ]

A = π(11)²

A = π(121) or 121π

A = 379.94

Therefore, the area of the circle is 379.94cm² or 121π cm²

Best of Luck!

Answer:

56m cubed

Step-by-step explanation:

7m×2m×4m=56m

Answer:

The answer is 3 3/10

Step-by-step explanation:

1 3/4 × 3 2/5 can be solved by 1×3 and 3/4 × 2/5. That makes 3 3/10

Anna is correct. The remaining angle of the triangle measures less than 90 degrees.

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Answer: b. She is correct. The remaining angle of the triangle measures less than 90 degrees.

Step-by-step explanation: edge 2022

Answer:

The formula to find the volume of a cylinder is v = πr2h. The formula to find the volume of a cone is V = 1/3πR2H

Step-by-step explanation:

The V is for volume, the H is for height, and the R is for radius.

The formula for the volume of a cone is V = (1/3)πr²h and the formula for the volume of a cylinder is V = πr²h. To solve for the radius, rearrange the formulas.

The formula for the volume of a cone is given by: V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. To solve for the radius, rearrange the formula as: r = √((3V)/(πh)).

The formula for the volume of a cylinder is given by: V = πr²h, where r is the radius of the base and h is the height of the cylinder. To solve for the radius, rearrange the formula as: r = √((V)/(πh)).

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for the area of the smaller semicircles

area = 1/2 x 3.142 x 5 x 5

area = 39.275cm²

for the larger circle

area = 1/2 x 3.142 x 10x 10

area= 157.1cm²

but since part of it is out and is replaced again

..total area of shaded part is 157.1cm² + 39.275cm² - 39.275cm²

area =157.1cm²

Answer:

red bin

Step-by-step explanation:

Question:

Write a cosine function of the form f(t)= Acos(Bt) where A and B are real numbers that models the water level f(t) as a function of time measured in t hours since 8:30 a.m.

Answer:

The equation of the cosine function that models the water level as a function of time is;

[tex]f(t) = -4\times cos(\frac{2\pi }{13} t)[/tex]

Step-by-step explanation:

From the required equation, we have for a wave form

f(t) = A·cos(B·t)

A = Amplitude of the wave

B = The period of the wave

t = Time of wave

The period can be derived as follows

We have 7:30 to 1:00 is 5.5 hrs, therefore one full cycle occurs in 11 hours

The period is given by;

[tex]Period = \frac{2\pi }{B}[/tex]

Therefore,

[tex]\frac{2\pi }{B} = \frac{13}{1}[/tex] so that

[tex]The \, period \, B = \frac{2\pi }{13}[/tex]

The amplitude is given as the maximum displacement from the position at rest. Therefore, the amplitude = (15 - 7)/2 = 4 feet

Therefore the equation of the cosine function that models the water level as a function of time is;

[tex]f(t) = -4\times cos(\frac{2\pi }{13} t)[/tex].

Answer:

this is an example:

In a parallelogram, like in any other quadrilateral, the sum of the measures of the interior angles is 360 degrees. Also in a parallelogram, if you have one angle that is 65 degrees, you must also have a second angle that is 65 degrees, so the sum of those two angles is 130 degrees. The sum of the other two angles, which are of identical measure, is then 360 minus 130 equals 230 degrees. Divide 230 by 2 to get the measure of the other two angles.

Step-by-step explanation:

In a parallelogram with one angle measuring 55°, the other three angles are two measuring 55° and two measuring 125° due to the properties of parallelograms where opposite angles are equal and consecutive angles sum to 180°.

A parallelogram has one angle that measures 55°. The measures of the other three angles in the parallelogram can be determined knowing that opposite angles in a parallelogram are equal, and consecutive angles are supplementary (sum to 180°). Because one angle is 55°, the opposite angle must also be 55°. The adjacent angles must sum up to 180°, so they each must be 180° - 55° = 125°. Therefore, the parallelogram has two angles measuring 55° and two angles measuring 125°.

Answer:

v=2571.13667 mm^3

Step-by-step explanation:

A marble is a sphere, and the volume of a sphere can be found using:

[tex]v=\frac{4}{3} \pi r^3[/tex]

We need to find the radius, and we know that the radius is 1/2 of the diameter

r=d/2

r=17/2

r=8.5

Now we can substitute 8.5 in for r, and 3.14 in for pi

[tex]v=\frac{4}{3} (3.14)(8.5^3)[/tex]

[tex]v=\frac{4}{3} (3.14)(614.125)[/tex]

[tex]v=\frac{4}{3}(1928.3525)[/tex]

[tex]v=2571.13667 mm^3[/tex]

The volume of a glass marble with a diameter of 17 mm is approximately 2600 mm³ (2.6 cm³) when computed using the formula V = (4/3) πr³ and 3.14 as the value for π, with the final result rounded to two significant figures.

To calculate the volume of a glass marble with a diameter of 17 millimeters using 3.14 as the value of π (pi), we use the formula for the volume of a sphere, which is V = (4/3) πr³.

First, we need to find the radius of the marble, which is half the diameter. The diameter is 17 mm, so the radius is 17 mm ÷ 2 = 8.5 mm. Substituting the radius into the volume formula, we get V = (4/3) × 3.14 × (8.5 mm)³.

Calculating the radius to the third power, (8.5 mm)³ = 614.125 mm³. Multiply this by 3.14: 614.125 mm³ × 3.14 = 1928.3525 mm³. Then multiply by 4/3: × (4/3) = 2571.1367 mm³. Since the measured value of volume is limited by the number of significant figures, we need to round this to two significant digits. Therefore, the approximate volume of the marble is 2600 mm³ (2.6 cm³) after rounding off. Please note that the measured value of 17 mm only has two significant figures, so the final answer must also reflect this limitation.