Please help, our teacher wasn’t here and we got no explanation on how to do it

The expression that will give the distance between points is option D i.e. √(2 - 4)² + (3 + 3)². The solution has been obtained by using distance formula.

What is the distance formula?

The distance between two locations on a coordinate plane can be calculated using the distance formula. The distance equation is written as d = √(x₂ - x₁)² + (y₂ - y₁)².

We are given two points as (2,3) and (4,-3).

So, x₁ = 2, y₁ = 3, x₂ = 4, y₂ = -3

Now, substituting these values in the distance formula, we get

d = √(2 - 4)² + (3 + 3)²

Hence, the expression that will give the distance between points is option D.

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Full question has been attached below

Answer:

Remember, ratios are just fractions, and fractions are just division problems.

Step-by-step explanation:

Step-by-step explanation:

25%of 20 is 5

subtract from the total of the whole candy.

The slope of a linear fit in (xseq, yseq) data pairs is 0.2143. It is significant at a 0.001 level of significance.

From the code above, the slope of a linear fit in (xseq, yseq) data pairs is 0.2143.

To calculate the slope of the data pairs, we can use the lm() function. The summary() function can be used to test the null hypothesis, slope = 0, at a significance level of 0.001.

From the summary output, we can see that the t-value for the slope is 4.482, and the corresponding p-value is 0.00045. Since the p-value is less than 0.001, we can reject the null hypothesis and conclude that the slope is significant at the 0.001 level of significance. Therefore, the slope of a linear fit in (xseq, yseq) data pairs is 0.2143, and it is significant at the 0.001 level of significance.

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The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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Answer:

awnser is 1718

Step-by-step explanation:

Answer:

$12,115 - $10,347 = $1,768. the difference is $1,768 this is how much more in sales they had in October

Answer:

20

Step-by-step explanation:

1.  First simplify 8a + 4 then substitute a=2 so 8(2) + 4 = 16+4=20

Now you try the rest

The 45th term of the sequence is 267.

The 45th term of a sequence can be calculated using the formula:

Tn = a + (n – 1)d

Where,

Tn = the nth term

a = the first term

n = the term position

d = the common difference

In this sequence, the first term is 3, the common difference is 6, and the term position is 45.

Therefore, the 45th term of the sequence is:

T45 = 3 + (45 – 1)6

T45 = 3 + (44)6

T45 = 3 + 264

T45 = 267

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Answer:

it would be greater that or equal to.

Step-by-step explanation:

> with the line underneath because they need at least $2800

The fraction that is bigger than 2/5 and smaller than 2/3 is 8/15.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3, 1/5 is a fraction.

We have,

Let the fraction be a/b.

2/5 < a/b < 2/3

Now,

a/b

= (2/3 + 2/5) / 2

= (10 + 6) / 30

= 16/30

= 8/15

= 0.533

Thus,

The fraction is 8/15.

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To evaluate the surface integral ∬S (x y z) · ds, we need to calculate the dot product between the vector function (x y z) and the surface element ds, and then integrate it over the surface S. The surface integral is -27.

The given parallelogram has parametric equations x = u v, y = u − v, and z = 1/2u v, with u ranging from 0 to 3 and v ranging from 0 to 2. To find the surface element ds, we take the cross product of the partial derivatives of the position vector r(u, v) = (u v, u - v, 1/2u v) with respect to u and v. The resulting cross product gives us the magnitude and direction of the surface element.

Taking the cross product, we get ds = |∂r/∂u × ∂r/∂v| du dv. Substituting the partial derivatives, we have ds = |v(1/2v, 1, u/2) - (1/2uv, -1, v/2)| du dv.

Next, we calculate the vector function (x y z) · ds. Substituting the given parametric equations, we have (x y z) = (u v, u - v, 1/2u v), and the dot product becomes (u v)(u - v)(1/2u v) · ds.

By substituting the surface element ds, we have (u v)(u - v)(1/2u v) · |v(1/2v, 1, u/2) - (1/2uv, -1, v/2)| du dv.

To evaluate the surface integral, we integrate the dot product (u v)(u - v)(1/2u v) · |v(1/2v, 1, u/2) - (1/2uv, -1, v/2)| over the given limits of u and v. The resulting value will give us the surface integral of the vector function (x y z) over the parallelogram.

After evaluating this integral using a mathematical software or by hand calculation we get that the surface integral is equal to -27.

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The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

C

Step-by-step explanation:

The closest answer is 11.49% (option C). Offer lower yields compared to lower-rated bonds like BB, which carry higher default risk and higher yields.

To calculate the yield on a seven-year AA-rated bond issued by Harrington Horticulture Co., we need to consider several factors:

1. Real Risk-Free Rate (r*): 2.8%

2. Expected Inflation: 8% for the next two years, then 7% thereafter

3. Maturity Risk Premium (MRP): 0.1% per year of maturity (7-year bond = 0.1 * (7-1)% = 0.6%)

4. Liquidity Premium (LP): 1.05%

5. Default Risk Premium (DRP) for AA-rated bonds (based on the table)

Let's calculate the yield:

Yield = Real Risk-Free Rate + Expected Inflation + Maturity Risk Premium + Liquidity Premium + Default Risk Premium

Yield = 2.8% + (8% + 8% + 7%) + 0.6% + 1.05% + (AA-rated DRP from the table)

Without the specific value for the AA-rated DRP, we cannot provide the exact yield. However, based on the given options, the closest answer is 11.49% (option C).

Regarding the statement about interest rates:

In theory, the yield on a bond with a longer maturity is expected to be higher than the yield on a bond with a shorter maturity. This is because longer-term bonds are exposed to more uncertainties and risks over an extended period, leading investors to demand higher returns.

The statement about the yield on an AAA-rated bond being higher than the yield on a BB-rated bond is incorrect. Higher-rated bonds, such as AAA, typically have lower default risk and, therefore, offer lower yields compared to lower-rated bonds like BB, which carry higher default risk and higher yields.

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The complete question is:<The real risk-free rate (r*) is 2.8% and is expected to remain constant. Inflation is expected to be 8% per year for each of the next two years and 7% thereafter. The maturity risk premium (MRP) is determined from the formula: 0.1 (t - 1)%, where t is the security's maturity. The liquidity premium (LP) on all Harrington Horticulture Co.'s bonds is 1.05%. The following table shows the current relationship between bond ratings and default risk premiums (DRP): Harrington Horticulture Co. issues seven-year, AA-rated bonds. What is the yield on one of these bonds? Disregard cross-product terms; that is, if averaging is required, use the arithmetic average. 5.25% 12.54% 11.49% 11.94% Based on your understanding of the determinants of interest rates, if everything else remains the same, which of the following will be true? In theory, the yield on a bond with a longer maturity will be higher than the yield on a bond with a shorter maturity. The yield on a AAA-rated bond will be higher than the yield on a BB-rated bond>

Answer:

$1,440; Possible work: Since 300 4 5 5 60, Kendra gets paid $60 per day: 60 3 24 5 1,440. So, she gets paid $1,440 for working 24 daysStep-by-step explanation:

HOPE THIS HELPS

Answer:

1440 = x

Step-by-step explanation:

We can use a ratio to solve

300 dollars      x dollars

----------------- = ------------

  5 days               24 days

Using cross products

300*24 = 5x

Divide each side by 5

300*24/5 = 5x/5

1440 = x

Answer:

factor of 3

Step-by-step explanation:

Answer:

  60

Step-by-step explanation:

We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...

  red : blue : yellow = 14 : 15 : 6

Multiplying this by 4 will give 24 yellow chairs:

  4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.

60 chairs are blue.

Answer:

\(2.46\times 10^5\)

Step-by-step explanation:

\(9.78 \times 10^5 - 732,000\\= 9.78 \times 10^5 - 7.32 000\times 10^5\\= 9.78 \times 10^5 - 7.32\times 10^5\\= 2.46\times 10^5\)

Answer:

x = 4

Step-by-step explanation:

5x - 7 = 13

5x = 13 + 7

5x = 20

x = 20/5

x = 4

The combination of meters (m) and seconds (s) is used to measure speed or distance.

Here are the completed statements using the appropriate metric units: My friend is 2 METERS tall. My water bottle has a volume of 1.5 LITERS. My thumb is 2 CENTIMETERS wide. I bought 3 KILOGRAMS of apples at the store. A penny weighs about 3 GRAMS. I can run 60 METERS in 10 seconds. Explanation: Meters (m) is the metric unit used to measure length or height. Liters (L) is the metric unit used to measure volume or capacity. Centimeters (cm) is the metric unit used to measure small distances or widths.

Kilograms (kg) is the metric unit used to measure mass or weight. Grams (g) is a smaller metric unit used to measure mass or weight. The combination of meters (m) and seconds (s) is used to measure speed or distance. These metric units provide standardized measurements that are widely used across the world, making it easier to communicate and compare quantities.

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The P-value is greater than a, which means we should not reject the null hypothesis.

Therefore, Fail to reject the null hypothesis.

As per the given data,

We need to find out that should Nancy reject or fail to reject the null hypothesis given the sample data ?

According to the above stated question,

it is given that,

Nancy is an economist who would like to make the claim that the average weekly grocery budget for households in a  u.s. city is less than $253.

No. of households in which Nancy take samples in the same city is 18.

Nancy obtains a sample mean of $229.60.

Nancy spent on groceries per week at the 2.5% significance level.

Now, according to the given above stated information:

The null and alternative hypotheses are

\(H_{0} =\) μ = 253

\(H_{a}=\)μ <253

Thus, this is a left-tailed test.

The significance level, \(\alpha\) = 0.05

The test statistic is t = - 0.75

The sample size, n = 18

The degrees of freedom is given by:

degrees of freedom=n - 1

Now, putting value of n we get:

=n - 1

= 18 - 1 = 17

P-value = P(\(t_{17}\) < - 0.75) = 0.2318

Therefore, the P-value is greater than a, which means  we should not reject the null hypothesis.

Fail to reject the null hypothesis.

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Nancy, an economist, would like to make the claim that the average weekly grocery budget for households in a small U.S. city is less than $253. Nancy samples 18 households in the same city and obtains a sample mean of $229.60 spent on groceries per week.

At the 2.5% significance level, should Nancy reject or fail to reject the null hypothesis given the sample data below?

Use the graph below to select the type of test (left, right-, or two-tailed).

Then set the a and the test statistic to find the p-value. Use the results to determine whether to reject or fail to reject the null hypothesis.

Emmy and Liam each played 4 games according to the given statement.

An equation is a claim that two expressions are equal, typically indicated by the equals symbol (=). In mathematics, equations are used to simulate real-world scenarios, solve problems, and depict relationships between variables.

Exponents, logarithms, and trigonometric functions can all be used in equations, in addition to basic operations like addition, subtraction, multiplication, and division.

Let us suppose the number of games played = x.

Thus, for Emmy we have:

E = 1 + 2x

For Liam the equation is:

L = 5 + 1x

Equating the two equations we have:

1 + 2x = 5 + 1x

x = 4

Hence, Emmy and Liam each played 4 games according to the given statement.

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Answer:

30 feet of chain link and 50 feet of rope

Step-by-step explanation:

Let's call the amount of chain link as x and the amount of rope as y. We can write:

x + y = 80 -- Equation 1

2x + 1.5y = 135 -- Equation 2

2x + 2y = 160 -- Equation 3 (Multiply Equation 1 by 2)

0.5y = 25 (Subtract Equation 2 from Equation 3)

y = 50 (Divide by 2)

x + 50 = 80 (Substitute y = 50 into Equation 1)

x = 30 (Subtract 50)

To find the mass (M) of a mineral deposit along a strip of length 6 cm, with density s(x) = 0.02x(6-x) g/cm for 0 ≤ x ≤ 6, we can integrate the density function over the interval [0, 6].  the mass of the mineral deposit along the 6 cm strip, with the given density function, is 0.72 g.

The density of the mineral deposit is given by the function s(x) = 0.02x(6-x) g/cm, where x represents the position along the strip of length 6 cm. The function describes how the density of the mineral deposit changes as we move along the strip.

To find the total mass (M) of the mineral deposit, we integrate the density function s(x) over the interval [0, 6]. The integral represents the accumulation of the density function over the entire length of the strip.

Using the given density function, the integral for the mass is:

M = ∫[0, 6] 0.02x(6-x) dx

Evaluating the integral:

M = 0.02 ∫[0, 6] (6x - x^2) dx

M = 0.02 [(3x^2 - (x^3)/3)] |[0, 6]

M = 0.02 [(3(6^2) - (6^3)/3) - (3(0^2) - (0^3)/3)]

M = 0.02 [(3(36) - (216)/3) - (0 - 0)]

M = 0.02 [(108 - 72) - 0]

M = 0.02 (36)

M = 0.72 g

Therefore, the mass of the mineral deposit along the 6 cm strip, with the given density function, is 0.72 g.

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Answer:

The hypotenuse is 12 so the other side lengths are 6 and 6sqrt(3). Therefore the perimeter is 18 + 6sqrt(3). i hope it helps if not im glad to help step by step

Step-by-step explanation:

Answer:

29/5

Step-by-step explanation:

5 4/5=(25+4)/5

29/5

Hope I helped! Please mark Brainliest!!!

Answer: The answer is \(\frac{29}{5}.\)

Step-by-step explanation: Here are the 3 steps in order to convert the mixed number fraction to an improper fraction:

Step 1. First, let's multiply the denominator by the whole fraction that looks like this: \(5*5=25.\)

Step 2. Then, we add the answer with the numerator from step 1 that looks like this: \(25+4=29.\)

Step 3. Finally, we write the answer from step 2 over the denominator that looks in the improper fraction like this: \(\frac{29}{5}.\)

Conclusion Step-By-Step Explanation:

Here's the conclusion for how to convert the mixed number fraction into an improper fraction given the equation \(\frac{29}{5},\) that looks like this in the simplified solution: \(\frac{5*5+4}{5}=\frac{29}{5}.\)

I hope that my full answer with the full step-by-step explanation is very helpful to your question about how to convert the mixed number fraction into an improper fraction and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Answer:

64

Step-by-step explanation:

so basically first I wanted to find the width, if you draw a model, it would be easy, so

I make 4 rectangles, one on top of the other for all of them.

so if you turn it clockwise 90 degrees, the rectangles are the same so if you draw them together then they over lap you can see that you can make a x:y for the lengths. If the width of the rectangle is 1 then the length of the rectangle is 4, 1:4 ,  so now we use the perimeter of 40 so now if the width is w and the length is l then wl is 20 (40/2) si niw 20/(1+4) which is 20/5 which is 4, so now we know that the width of the rectangle is 4 and the length is 4x4 which is 16 so now we can calculate the perimeter of the square, we know that the side length of the square is 16, so all we have to do is 16x4 which is 64.

Answer: Ryan had a head start of 10 meters.

Step-by-step explanation:

Ryan has a 10 m head start then Nina.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Nina Run from the graph

T         D

4        32

6        48

8        64

10      80

For every 2 Secs, there is a distance of  16 m

Hence Speed = Slope = 16/2 = 8m /s

y - 32 = 8 (x - 4)

=> y = 8x

at x = 0  ( 0 times)

Distance = 0 m

Ryan  Run from the table

T         D

4        35

6        47.5

8        60

12.5 m for every 2 sec

Speed = slope = 12.5/2 = 25/4

\(y - 35 = (25/4)(x - 4)\\= > 4y - 140 = 25x - 100\\= > 4y = 25x + 40\\at x = 0\\= > y = 10\\\)

Hence Ryan had a head start of 10 m

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Answer:

What is the exact value of tan(−π4)? is 20

IF YOUR QUESTION IS...

What is the exact value of tan(-pi/4)?

Answer: -1