If you pay $691 each month for 6 years to buy your car, how much is the total cost of the loan on the car?

Answer:

5

Step-by-step explanation:

Use the Pythagorean Theorem

C^2=a^2 + b^2

c^2= 3^2 + 4^2

c^2= 9+16

c^2= 25

The take the square root

c= √25

c = 5

The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

The statements that are true with regards to the graph of the functions and the sprinter that wins and lead the race are;

The true statements are; A, B, and C

The graph of a function visually represents the rule of the function showing how the output values of the function changes as the input value varies.

The distance the two sprinter's will run = 80 meters

The speed of sprinter A = 9 meters per second

The speed of sprinter B = 9 meters per second

The head start of sprinter B = 14 meter

The analysis of the statements are as follows

A. The graph of the functions representing the speeds of the sprinters have the same slope of 9 which is the rate of change of distance with time, therefore, the graphs are parallel and will never intersect.

The statement is therefore; True

B. Sprinter B will win the race. - True

Sprinter B has a head start of 14 meters and both sprinters have the same speed, therefore, sprinter B will reach the finish line first and win the race.

C. Sprinter B is leading the race at the 4 seconds mark;- True

Sprinter A will cover a distance of 9 m/s × 4 s = 36 m at the 4 seconds mark, while sprinter B will cover a distance in the 80 m race of 9 m/s × 4 s + 14 m = 50 m at the 4 second mark, therefore, sprinter B will be leading at the 4 second mark

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Answer:

Step-by-step explanation:

sin²β + sin²β×tan²β = tan²β

sin²β( 1 + tan²β ) = tan²β

~~~~~~~~~~~~~~~~

sin²β + cos²β = 1  

\(\frac{sin^2\beta }{cos^2\beta }\) + \(\frac{cos^2\beta }{cos^2\beta }\) = \(\frac{1}{cos^2\beta }\) ⇒ tan²β + 1 = sec²β ⇔ 1 + tan²β = sec²β

~~~~~~~~~~~~~~

1 + tan²β = \(\frac{1}{cos^2 \beta }\)

L.H. = sin²β ( \(\frac{1}{cos^2 \beta }\) ) = tan²β

R.H. = tan²β

Answer:

Step-by-step explanation:

52units

Answer:

A

Step-by-step explanation:

In the attached file

Step-by-step explanation:

Please refer to the picture above.

Answer:

Step-by-step explanation:

1/3  *  7/10   =  (1*7) / (3* 10) =   7/30 = .2333   =   ~ 0  rounded to whole number

Answer:

A. No conclusion can be drawn regarding the means because the box plots only show medians and quartiles.

Step-by-step explanation:

A box display tells represents a five-number summary that consists of the minimum value, lower quartile, median, upper quartile and maximum value. It could also tell you which data point is an outlier, if there are any.

Mean value for a data set that can hardly be ascertained or derived from a box plot display itself.

Therefore, the statements regarding the means of both data sets that is most likely true is: "A. No conclusion can be drawn regarding the means because the box plots only show medians and quartiles."

Answer:

A=441 so none of the above

Step-by-step explanation:

A=wl=21·21=441

Answer:

2/4, 3/5,3/4, 2/3,13/25, 27/50 11/20, 14/25, 29/50,31/50, 63/100,16/25,33/50,17/25,7/10,18/25,37/50,19/25,77/100,39/50,4/541/50, 83/100, 21/25 , 17/20, 43/50 , 87/100,22/25,9/10, 91/100, 23/25, 93/100, 47/50, 19/20 , 24/25  97/100, 49/50,99/100(note that I did not state all the fractions between 1/2 and 1)

Step-by-step explanation:

Firstly one half(1/2) represents 0.50 as a decimal and 1 would be 1.00

This is like saying finding Fractions that give you percentages between 50% and 100%

for example:

you could simplify 52/100 and get 31/50

31/50 as a decimal would be 0.52  and 0.52 falls between(0.50 and 1.00) 1/2 and 1

example 2: 89/100= 0.9 (same as0.90) and [90/100] is same as 9/10 = 0.9

0.90 or 0.9 (zero point nine) is not the same as 0.09(zero point zero nine

If you are using a casio calculator, you can simplify the fraction by putting in your numerator then pressing |a b/c| button then enter the denominator, then the calculator should simplify the fraction, if the fraction remains the same, this means that it cant be further simplified.if your calculator has

| a b/c| then you can also use it.

or use an online calculator or simplify if you wish

To find the decimal of that fraction you can simply divide the numerator by the denominator, Example; 82/100 is same as 0.82 and 41/50 is same as 0.82.

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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On solving the provided question, we can say that Therefore, you would need multiply  approximately 27.84 pounds of food each day for your horse.

One of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."

First, we need to convert the weight of the horse from kilograms to pounds, so:

678 kg x 2.20462 lbs/kg = 1495.69 lbs

Next, we need to calculate how many Mcal the horse needs per day:

0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day

Then, we can convert the Mcal to kcal:

22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day

Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:

22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day

Therefore, you would need approximately 27.84 pounds of food each day for your horse.

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Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

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

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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Answer: The height is 3.5 cubic feet

Step-by-step explanation:

We have to find the area of the base first so multiply 25 and 18 feet together. You will get 450

Now you can make an equation.

525 = (1/3)*450*h

Multiply the 1/3 and the 450 together to get 150

Your equation is now 525 = 150h

Divide 150 on both sides to isolate h

You now have 3.5 = h

The 0.0035 hr⁻¹ first-order degradation rate constant in the 40 °C, 1.0 mg/ml solution, where R = 1.987 cal/mol/degree and 2,000 cal/mol activation energy indicates;

a. The rate constant for first-order degradation of N₂O₂ at room temperature is approximately 4.12595 × 10⁻² hr⁻¹

A first order reaction is one that has a rate that varies linearly with the concentration of one reactant

The given parameters are;

Temperature of the solution = 40°C

T₁ = 40 °C + 273.15 = 313.15 K

The rate constant, K₁ = 0.00351 hr⁻¹

Concentration of the solution = 1.0 mg/ml

Activation energy, Eₐ = 2000 Cal/mol

R = 1.987 cal/mol/degree

The formula by which the rate constant can be found is presented as follows;

\(log\dfrac{k_2}{k_1} =\dfrac{E_a}{2.303\times R} \times \dfrac{T_2-T_1}{T_1\cdot T_2}\)

a. Room temperature = 25 °C

T₂ = 25 °C + 273.15 = 298.15 K

Therefore;

\(log\dfrac{k_2}{0.00351} =\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\)

\(k_2=0.00351 \times 10^{\left(\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\right)} \approx 4.12595\times 10^{-2}\)

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Answer:

Circumference=25.13 Area=50.27

Answer:

4

Step-by-step explanation: You have to do y-y over x-x. So -1 minus-5 which equals 4. Then 5 minus 4 which equals 1. So you divide the answers you got 4÷1=4

The minimum sample size required is 108.

What is the standard deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. A low standard deviation means data are clustered around the mean, and a high standard deviation indicates data are more spread out.

To find the minimum sample size required, we can use the formula for the margin of error for a confidence interval for a mean:

margin of error = (z*s) / (√n)

where z is the z-score corresponding to the desired confidence level (in this case, z = 1.28 for an 80% confidence interval), s is the standard deviation of the population, and n is the sample size.

We are given that the margin of error should be no more than 0.06 and that the standard deviation is 0.9. We can solve for n by rearranging the formula and substituting in the given values:

n = [(zs) / margin of error]²

= [(1.280.9) / 0.06]²

= approximately 107.5

Since the sample size must be an integer, we must round up to the next integer, which is 108.

Hence, the minimum sample size required is 108.

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Done

\( \pink{\underline{\boxed{8a²+a-7}}}\)

Solution :-

\(\Longrightarrow\sf{(3a ^2 + 2a) + (5a^2 -a-7)}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{3a^2+ 2a + 5a^2-a-7}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{8a^2+2a-a-7}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\( \Longrightarrow\sf{8a^2+1a-7}\)

\( \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{8a^2+a-7}\)

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Answer:

3 3/4

Step-by-step explanation:

3.75 square ft per hr.

5/8 x 6 = 3.75

Answer: 112 feet

Step-by-step explanation: