does anyone know this.
i will give brainliest

We're given a point that the line intersects and its slope.

Let's use Point-slope:-

\(\boxed{y-y1=m(x-x1)}\)

y1 = -5

m=-5

x1=-1

\(\boxed{y-(-5)=-5(x-(-1)}\)

\(\boxed{y+5=-5(x+1)}\)

Convert to slope-intercept:-

\(\boxed{y+5=-5x-5}\)

\(\boxed{y=-5x-5-5}\)

Finally,

\(\bigstar{\boxed{\pmb{y=-5x-10}}\)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

The answer is $1.2

Step-by-step explanation:

How I got that answer is that I mulitplied 0.6*2 and that equals 1.2.

Answer:

1.20 and 4.40

Step-by-step explanation:

As the other girl said, the first answer is 1.2

Using that you can add that (1.20 + 1.20) to get the cost of two pounds of peanuts.

Then you add the $2 for the one pound of cashews.

Your final answer will be = 4.40

Suav would have run approximately \($970$\) miles in \($25$\) weeks, to the nearest whole number.

What are the whole numbers?

Whole numbers are the set of numbers that include all positive integers (1, 2, 3, ...) as well as zero (0). Whole numbers do not include any negative numbers or fractions. Therefore, the set of whole numbers is {0, 1, 2, 3, ...}.

Suav runs \($20$\) miles the first week. Let's use a formula to calculate the number of miles he runs in subsequent weeks. Let \($m$\) be the number of miles he runs in a particular week, and \($w$\) be the number of weeks elapsed since the first week. Then, we have:

\($$m = 20 \cdot 1.05^{w-1}$$\)

This formula takes into account the \($5%$\) increase in miles each week, starting from the initial \($20$\) miles in the first week.

To find the total number of miles Suav runs over \($25$\) weeks, we can sum up the miles he runs in each week using the formula above. That is,

\($$\text{Total miles} = 20 + m_2 + m_3 + \cdots + m_{25}$$\)

where \($m_2, m_3, \ldots, m_{25}$\) are the number of miles he runs in the second to \(25$th\) week, respectively.

We can use the formula for \($m$\) to find each of these values. For example, the number of miles he runs in the second week is:

\($$m_2 = 20 \cdot 1.05^{2-1} = 21$$\)

Similarly, we can find the number of miles he runs in each of the other weeks:

\(m_3 &= 20 \cdot 1.05^{3-1} = 22.05\)

\(m_4 &= 20 \cdot 1.05^{4-1} = 23.103\)

\(&\vdots\)

\(m_{25} &= 20 \cdot 1.05^{25-1} = 57.597\)

Now, we can substitute these values into the formula for the total miles and simplify:

\(\text{Total miles} &= 20 + 21 + 22.05 + \cdots + 57.597 \&\approx 970\)

Therefore, Suav would have run approximately \($970$\) miles in \($25$\) weeks, to the nearest whole number.

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Answer

well if it is 5% each week, then it would be 20 +1. doing this for 25 weeks means it would be 20 + 25 then.

Sorry if wrong. i don't know if u do 5% after each time or from the main number. it doesn't say weather or not.

Step-by-step explanation:

p lz give me brainliest

The equation of the circle in the form of x^2 + y^2 + Px + qy + c = 0

The standard form of the equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle, and r is the radius.

Given the center of the circle is (-2,3) and the radius is 3cm.

Substituting the given values we get (x + 2)^2 + (y - 3)^2 = 3^2

Expanding and simplifying we get x^2 + 4x + 4 + y^2 - 6y + 9 = 9

x^2 + 4x + y^2 - 6y + 5 = 0 is the equation of the circle in the form of x^2 + y^2 + Px + qy + c = 0

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Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Step two is wrong, the answer would have been 9 instead of 8.

Answer:

Step 2 is incorrect

Step-by-step explanation:

8d = 72

Divide each side by 8

8d/8 = 72/8

d = 9

Step 2 is incorrect

To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.

Distance Formula:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the distance formula, we can calculate the lengths of the three sides of the triangle:

Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68

Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34

Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34

Slope Formula:

The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

Using the slope formula, we can calculate the slopes of the three sides of the triangle:

Slope AB:

m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4

Slope BC:

m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5

Slope AC:

m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3

From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.

Therefore, triangle ABC is an isosceles right triangle.

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If a sample size is one-fourth the original size, the margin of error will be affected. Specifically, the margin of error will be affected inversely proportional to the square root of the sample size.

Halving the sample size (from the original) will cause the margin of error to increase by a factor of square root of 2, approximately 1.41.

Doubling the sample size (from the original) will cause the margin of error to decrease by a factor of square root of 2, approximately 0.71.

Quadrupling the sample size (from the original) will cause the margin of error to decrease by a factor of square root of 4, approximately 0.5.

Therefore, if the sample size is reduced to one-fourth the original size, the margin of error will be doubled, because the square root of 4 is 2. Conversely, if the sample size is increased fourfold, the margin of error will be halved, because the square root of 1/4 is 1/2.

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They took 1.53 hrs long before they are 1000 nautical miles apart.

What is the distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Here, we have

A plane leaves Charlotte at 9:00 AM and flies north at 400 knots. At the same time, another plane flies south from Charlotte at 250 knots

The speeds are added when going in opposite directions = 400 + 250knots =  650 knots

We apply here distance formula,

Distance = rate × time

t = d/r

= 1000/650 hours

= 1.53 hours

Hence, they took 1.53 hrs long before they are 1000 nautical miles apart.

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Answer:

5.

Step-by-step explanation:

x axis is the same. do 7-2. Which equls 5.

The number 160 can be expressed as a product of its prime factors: 2^5 × 5^1. The Fundamental Theorem of Arithmetic states that every positive integer greater than 1 can be uniquely represented as a product of prime numbers.

Thus, the prime factorization of 160 shows that it is composed of two distinct primes, 2 and 5. The number of positive integral divisors of 160 can be calculated by considering the exponents in its prime factorization. In this case, there are (5 + 1) × (1 + 1) = 12 divisors. Each of these divisors can be expressed as a power of the primes 2 and 5.

To find the prime factorization of 160, we break it down into its prime factors. Starting with the smallest prime number, we divide 160 by 2 repeatedly until we can no longer divide evenly. This process yields 160 ÷ 2 = 80. Continuing, we divide 80 by 2 to get 80 ÷ 2 = 40, then 40 ÷ 2 = 20, 20 ÷ 2 = 10, and finally 10 ÷ 2 = 5. Now, we have reached a prime number. Thus, the prime factorization of 160 is 2^5 × 5^1.

To calculate the number of positive integral divisors, we consider the exponents in the prime factorization. In this case, the exponent of 2 is 5 and the exponent of 5 is 1. To find the number of divisors, we add 1 to each exponent and multiply them together: (5 + 1) × (1 + 1) = 6 × 2 = 12. Therefore, there are 12 divisors of 160.

Each divisor can be expressed as a power of the primes 2 and 5. For example, the divisors include 2^0 × 5^0 = 1, 2^1 × 5^0 = 2, 2^2 × 5^0 = 4, 2^3 × 5^0 = 8, and so on.

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Answer:

x = 5

Step-by-step explanation:

Here we can see SM and MT have equal sides.

Therefore, 2x + 3 should be equal to 4x - 7

So,

                      2x + 3 =  4x - 7

                      2x - 4x = -7 -3

                     -2x = -10

                       x = -10 / -2

                       x = 5

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the value of x is 5.

To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:

Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)

Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.

A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.

It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.

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Answer:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

Step-by-step explanation:

Swap f(x) and x position of the function, thus:

\(\displaystyle{x=7f(x)+3}\)

Then solve for f(x), subtract 3 both sides and then divide both by 7:

\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)

Since the function has been inverted, therefore:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

And we can prove the answer by substituting x = 1 in f(x) which results in:

\(\displaystyle{f(1)=7(1)+3 = 10}\)

The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):

\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)

The input is 1. Hence, the solution is true.

Answer:

Mid point of A(9,2) and B(6,44) is (7.5, -1)

Step-by-step explanation:

I. If mid point = \(\frac{x_{a} +x_{b} }{2}\), \(\frac{y_{a}+ y_{b} }{2}\)

 So (x) = (9 + 6) / 2 = 7.5

       (y) = (2 + (-4)) / 2 = -1

So (x,y) = (7.5, -1)        

Leave more question below, I don't understand you question well.

Answer:

5) distributive property

7) Transitive property

8) Associative property

Step-by-step explanation:

The volume of ink used by the student each week is 4.12cm³.

The ballpoint is cylinder in shape. The equation for volume of a cylinder is 2πrh. Where,π is equal to 3.14,r is the radius of the cylinder, h is the height of the cylinder.

Let's find out the volume of the ballpen.

Volume of the ballpen=2πrh

                                     =2×3.14×0.4×11.5

                                     =28.88 cm³

The ink lasted for 7 weeks. The volume of ink that the student uses each week will be total volume divided by 7.

The ink used by the student each week is 28.88÷7.That is 4.12cm³.

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The volume of  the ink that a student uses is 0.63

The ballpoint pen is of the cylinder shape. The volume of is given by the formula:

\(V = \pi r^{2}h\)

Here V is volume of the cylinder

r is radius

r= d/2

r=0.400/2

r=0.200

h is the height of the cylinder

\(V=\pi *0.200^{2} * 5\)

\(V=0.62832\) cubic units

which is approximately taken as 0.63

The volume of the object is the mass or the space consumed. The volume of the cubic units can be calculated by using the formula V= length* width* height.

The volume is represented by the symbol V.  When the object is a hollow cylinder then the formula is:

\(V=\pi (R^{2}-r^2)h\) cubic units

There are different types of cylinder this includes solid cylinder, circular cylinder and hollow cylinder. Therefore a cylinder is  shape that consists of three dimension and the base of the  is circle. The cylinder has height and radius and the line segments from the center of the height of the cylinder. The cylinder are curve in shape and also has a tube shape.

The radius of the cylinder is found by the half of the diameter and the volume of the cylinder is by multiplying the the value of with the radius and height of the cylinder.

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Answer:

1,184 sq cm

Step-by-step explanation:

Surface area= 2 (1/2 x 8 x 12 + 34 x 10) + 34 x 12

                    = 1,184 sq cm

Hope this helps!

Answer:

x=36°

y=144°

Step-by-step explanation:

y is the corresponding angle of angle 144° and since corresponding angles are always congruent y=144°

x is the same side interior angle of angle 144° and since same side interior angles are also supplementary angles that add up to 180° x=36°

180°-144°=36°

hopefully this helps :)

Answer:

Step-by-step explanation:

Given:

Room dimensions: 18 meters by 22 meters

Carpet cost: $28.50 per square meter

Carpet roll width: 12 meters

Since the carpet roll is 12 meters wide and the room's width is 18 meters, it is more efficient to lay the carpet along the width of the room.  It will look better with one large, continuous piece that is 12 x 22, seamed to one narrow piece of 6 x 22.

Number of rolls needed = Width of room / Width of carpet roll

= 18 meters / 12 meters

= 1.5 rolls

But you can't buy 1/2 roll so, round up to 2 rolls.

Length of carpet needed = Length of room

Length of carpet = 22 meters

Total area of carpet needed = Length of carpet x Width of carpet roll x Number of rolls

= 22 meters x 12 meters x 2 rolls

= 528 m²

Cost of carpet = Total area x Cost per square meter

= 528 m² x $28.50/m²

Cost of carpet = $15,048

Therefore, the most efficient way to lay the carpet is to use 2 rolls of carpet, with one roll covering 12 m of width and the other roll covering the remaining width (6 m). This arrangement requires just 1 seam. The total cost of the carpet will be $15,048.

a) the most efficient way to lay the carpet is to have one seam along the longer side, dividing it into two 12-meter sections, and a single piece along the shorter side.

b) The carpet will cost $13,680.

a) To find the most efficient way to lay the carpet, we need to minimize the number of seams required. In this case, since the carpet comes in rolls that are 12 meters wide, we should aim to minimize the number of cuts made along the width of the room.

Since the room measures 18 meters by 22 meters, we can use the 12-meter width of the carpet to cover the shorter side (18 meters) with a single piece. This leaves us with a longer side of 22 meters.

To cover the longer side, we can use two pieces of carpet, each measuring 12 meters in width. This way, we minimize the number of seams required.

So, the most efficient way to lay the carpet is to have one seam along the longer side, dividing it into two 12-meter sections, and a single piece along the shorter side.

b) Now let's calculate the cost of the carpet for the selected configuration.

The cost of the carpet is given as $28.50 per square meter. To calculate the total cost, we need to find the total area of the carpet required.

For the shorter side (18 meters), we need a single piece of carpet with a width of 12 meters, resulting in an area of 18 meters * 12 meters = 216 square meters.

For the longer side (22 meters), we need two pieces of carpet, each with a width of 12 meters. The total width covered will be 12 meters + 12 meters = 24 meters. However, since the room is only 22 meters long, we will trim off the excess, resulting in an area of 22 meters * 12 meters = 264 square meters.

The total area of the carpet required is 216 square meters + 264 square meters = 480 square meters.

Now, we can calculate the total cost by multiplying the total area by the cost per square meter:

Total cost = 480 square meters * $28.50/square meter

Calculating the value, we find that the carpet will cost $13,680.

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Answer:

Step-by-step explanation:

Answer: \(\boxed{\frac{1}{100}\ or\ 0.01}\)

Step-by-step explanation:

Determine the value of \(y^{12} \ when\ y=10^{-\frac{1}{6}\)

\(=(10^{-\frac{1}{6} })^{12}\)

\(=\frac{1}{100}\ or\ 0.01\)

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ y^{12}\hspace{5em}y=10^{-\frac{1}{6}}\qquad \implies \qquad \left( 10^{-\frac{1}{6}}\right)^{12}\implies 10^{-\frac{1}{6}\cdot 12} \\\\\\ 10^{-2}\implies \cfrac{1}{10^2}\implies \cfrac{1}{100}\)

The researcher will analyse its p-value and then will comment on its null hypothesis that it will be rejected or accepted.

Given is that the regression coefficient = 0.26

standard error = 0.4

The estimated standard deviation of the measurement error is the standard error of a coefficient estimate. Additionally, the standard error of the mean at X is the term used to describe the standard error of the projected height of the regression line for a particular value of X.

Finding the relationship between changes in the independent variables and changes in the dependent variable is the main goal of regression analysis. These changes are described by coefficients, and p-values reveal whether or not these coefficients are substantially different from zero.

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Answer:

Step-by-step explanation:

Now add - x to both sides by the addition rule. Remember, adding the same quantity to both sides of an inequality does not change its direction.

To calculate the time it takes to triple your money at a 12.5 percent interest rate, we can use the formula for compound interest and we obtain the answer as 9.33(Approximately)

FV = PV * (1 + r)^n

Where FV is the future value, PV is the present value, r is the interest rate, and n is the number of compounding periods.

In this case, we want to find the value of n when the future value (FV) is three times the present value (PV). Let's assume the initial amount is $1.

3 * 1 = 1 * (1 + 0.125)^n

Simplifying the equation, we have:

3 = 1.125^n

To solve for n, we need to take the logarithm of both sides of the equation:

log(3) = n * log(1.125)

n = log(3) / log(1.125)

Using a calculator, we find that n is approximately 9.33 years.

Therefore, the correct answer is: 9.33 years.

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Answer:

(-39/148, -33/37)

Step-by-step explanation:

Let's choose the second equation, 12x + 3 = y, for our substitution.  Substitute (12x + 3) for y in the first equation, obtaining:

8x - 13y = 0  =>  8x - 13(12x + 3) = 0

Next, multiply out -13(12x + 3):  From the above equation we get

                          8x - 156x - 39 = 0

and this simplifies to -148x = 39  or  x = -39/148.

Substitute -39/148 for x in 8x - 13y = 0.  We get:

                              8(-39/148) + 3 = y, so that y = -33/37.

The solution of this system of linear equations is (-39/148, -33/37).

By using the exponential growth equation, we will see that the population triples after 5.83 months.

We know that the initial population of bunnies is 820, and it grows at a rate of 20.75% per month, then we can write the exponential growth as:

P(t) = 820*(1 + 20.75%/100%)^t

P(t) = 820*(1 + 0.2075)^t

Where t is the time in months.

Then we need to find the value of t such that the population triples, so we actually need to solve:

(1 + 0.2075)^t = 3

If we apply the natural logarithm to both sides, we get:

ln((1 + 0.2075)^t) = ln(3)

t*ln(1.2075) = ln(3)

t = ln(3)/ln(1.2075) = 5.83 months.

So, after 5.84 months, the population of bunnies will triple.

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Answer: x = -2

Step-by-step explanation:

4x=0.5(2x−12)

Use the distributive property to multiply 0.5 by 2x−12.

4x=x−6

Subtract x from both sides.

4x−x=−6

Combine 4x and −x to get 3x.

3x=−6

Divide both sides by 3.

x= 3−6

Divide −6 by 3 to get -2.