what is the y intercept and slope of this equation (will mark brainliest!!)

Answer:

Yes

Step-by-step explanation:

We can add 20 to both sides and get 120=4v. Divide both sides by 4 and find that 30=v. Therefore, Lance is correct.

Answer: \(y=\frac{1}{3} x+6\)

Step-by-step explanation:

To find the perpendicular line, we have to change the slope of the original, equation.

The slope of the perpendicular line is 1/3. We can plug in the new point. To find the equation.

\(8=\frac{1}{3}(6)+b\)          [multiply]
\(8=2+b\)               [subtract both sides by 2]
b=6

Final equation is \(y=\frac{1}{3} x+6\)

Answer:

y = 1/3x + 6

Step-by-step explanation:

Because perpendicular lines have opposite and reciprocal slopes, we have to change our slope into a positive and flip it into it's reciprocal.

Now its: y = 1/3x + b

Next, we find b using slope intercept form.

8 = 1/3(6) + b

8 = 2 + b

6 = b

Place b into the equation.

y = 1/3x + 6

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

Given:

Point A'(6,3) is a dilation of point A(18,9).

To find:

The scale factor.

Solution:

We know that, if a point P is dilated by factor k and origin is the center of dilation, then

\(P(x,y)\to P'(kx,ky)\)

Let the scale factor for the given problem be k. So,

\(A(18,9)\to A'(18k,9k)\)

On comparing A'(18k,9k) and A'(6,3), we get

\(18k=6\text{ and }9k=3\)

\(k=\dfrac{6}{18}\text{ and }k=\dfrac{3}{9}\)

\(k=\dfrac{1}{3}\text{ and }k=\dfrac{1}{3}\)

Therefore, the scale factor is \(\dfrac{1}{3}\).

The y-intercept in Derrick's case means that Derrick earns $20 per hour.

The y-intercept in Derrick's case means that Derrick earns $20 per hour.

The equation y = 9x + 20

represents the total pay (y) as a function of the number of hours worked (x), where the y-intercept (20) represents the pay earned when x = 0, i.e., when no hours have been worked.

The coefficient 9 represents the pay per hour, so Derrick earns $9 per hour.

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Answer:

Step-by-step explanation:

∠EMC  = ∠EMD + ∠DMC

∠EMC = 90

∠EMD + ∠DMC = 90

∠EMD + 20 =90

∠EMD  = 90 - 20

∠EMD  = 70

∠FMD + ∠DMB = 180  {Linear pair}

90 + ∠DMB = 180

        ∠DMB = 180 - 90

       ∠DMB = 90

Answer:

49/100

Step-by-step explanation:

So you can find the area of shaded area by finding the area of the circle inside the entire circle that has a diameter of 3 cm and 4 cm and then find the area of the most inner circle which only has a diameter of 4 cm and then subtract these 2. After that you want to find the area of the entire circle and then divide the area of the shaded area by the entire circle. The formula for the area of a circle is given as: \(\pi r^2\)

Area of the two "inner" circles of a diameter of 4 and 3 cm. This gives you an entire diameter of 7 cm with a radius of 3.5. The area of this circle is \(\pi(3.5)^2\) which is \(12.25\pi\).

The area of the most inner circle only has a diameter only 4 cm. The radius is 2, thus the area of this circle is \(\pi (2)^2\) which is \(4\pi\). Now subtract this from the 12.25 pi to find the area of the shaded area. This gives you the equation: \(12.25\pi-4\pi\) which equals \(8.25\pi\).

Now to find the area of the entire circle you add up all the "diameters" which gives you 4 cm + 3 cm + 3 cm = 10 cm. So the radius is 5. This gives you the equation: \(\pi(5)^2\) which is equal to \(25\pi\).

Now to find the fraction of circle that is shaded we divide the area of the shaded area and the area of the entire circle. This gives you the equation: \(\frac{12.25\pi}{25\pi}\) but since it wants it as a fraction, I'm assuming it wants integers in the decimal and numerator place. So we can represent 12.25 as 12 + 1/4. And then convert the 12 into 1/4ths by multiplying by 4 and then adding that to the numerator. This makes the fraction \(\frac{49}{4}=12.25\). So now all we have to is divide the two values: \(\frac{\frac{49}{4}}{\frac{25}{1}}\). If you're wondering where the pi's when you can just cancel them out since they're both in the numerator and denominator. Now all we have to do is keep the 49/4, change the operator to multiplication, and flip the 25/1 to 1/25. This gives you the equation: \(\frac{49}{4} * \frac{1}{25}\) which becomes \(\frac{49}{100}\) which is the answer

Answer:

-10

Step-by-step explanation:

-10 is greatest of all numbers

Increasing the number of scores in the samples for an independent-measures t-statistic has the effect of increasing the likelihood of rejecting the null hypothesis while having little or no effect on measures of effect size.

As the sample-size increases, the t-statistic becomes more robust and accurate, which leads to a more precise estimate of the population parameter. This increased precision reduces the variability in t-statistic, which makes it easier to detect small differences between the means of the independent groups.

With a larger sample size, the t-statistic's sampling distribution approaches a normal-distribution, allowing for more reliable statistical inference. This results in a narrower confidence interval and a smaller p-value, increasing the likelihood of rejecting the null hypothesis when there is a true difference between the groups.

Therefore, increasing number of scores in samples enhances power of independent-measures t-statistic.

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Answer:

Step-by-step explanation:

The dimensions of \(\(\mathbb{R}^n\)\) and \(\(\mathbb{R}^m\)\) are n and m, respectively.

The linear transformation \(\(t: \mathbb{R}^n \rightarrow \mathbb{R}^m\)\) is defined by \(\(t(v) = Av\)\), where A is the matrix \(\(\begin{bmatrix} -1 & 0 \\ -1 & 0 \\ \vdots & \vdots \\ -1 & 0 \end{bmatrix}\)\) of size \(\(m \times n\)\)and v is a vector in \(\(\mathbb{R}^n\)\).

To find the dimensions of \(\(\mathbb{R}^n\)\) and \(\(\mathbb{R}^m\)\), we examine the number of rows and columns in the matrix A.

The matrix A has m rows and n columns. Therefore, the dimension of \(\(\mathbb{R}^n\)\) is n (the number of columns), and the dimension of \(\(\mathbb{R}^m\)\) is m (the number of rows).

Therefore, the dimensions of \(\(\mathbb{R}^n\)\) and \(\(\mathbb{R}^m\)\) are \(n\) and \(m\), respectively.

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation. A linear operator, or map, is another name for a linear transformation.

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Answer:

V = 10.5 ft³

Step-by-step explanation:

Volume formula: length x width x height

We are given all 3, so all we have to do is multiply them all together, When we plug it into the calc, we should get 21/2 or 10.5 ft³ as our answer.

Answer: $1225.50

Step-by-step explanation:

Purchase price = $1075

Discount Percent = 14%

Discount = 14% × $1075

= 0.14 × $1075

= $150.50

Marked price = Purchase price + Discount

= $1075 + $150.50

= $1225.50

If i paid weekly, I realized my income is $73.155.

Answer:

Solution given;

1 hour =$10

13 hour = 13*10=$130

Taxes

federal :10%

FICA:7.65%

state: 3%

contribute to company: $30

now

My income each week :

Answer:

A ^ ( m+n)

Step-by-step explanation:

When we are multiplying terms with exponents and the bases are the same, we can add the exponents

A^m * A^n =

A ^ ( m+n)

Answer:

m and n

Step-by-step explanation:

Exponents are the raised numbers or letters.

So it is m and n

The point estimate of the population mean is 2504.8.

The sample mean is the scale parameter of the population mean, hence we must design a table to determine it:

i                x               x²

1             2698      7279204

2            3028       9168784

3            2474       6120676

4            2395       5736025

5            2332       5438224

6            2475       6125625

7            1927        3713329

8            3006      9036036

9            2334       5447556

10           2379       5659641

∑ i = 1 to n (x) = 25048

∑ i = 1 to n (x)² = 63725100

Sample size: n = 10

Mean:

x = (∑ i = 1 to n (x)) ÷ n

x = (∑ i = 1 to 10 (x)) ÷ 10

x = 25048 ÷ 10

x = 2504.8

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The question is -

The manufacturer of a new line of inkjet printers would like to include as part of its advertising the number of pages a user can expect from a print cartridge. A sample of 10 cartridges revealed the following number of pages printed.

2698, 3028, 2474, 2395, 2332, 2475, 1927, 3006, 2334, 2379

What is the point estimate of the population mean?

Answer:

C. In y^2-y=6, 6 should have been subtracted on both sides first.

Step-by-step explanation:

It is a quadratic equation so you subtract the 6 and create

y^2-y-6=0

Then you factor it to:

(y-3)(y+2)=0

The solutions then are:

y-3=0, y=3 and y+2=0, y=-2

{-2,3}

Answer:

Step-by-step explanation:

f(x) = x - 14

To find f(2) substitute the value of x that's 2 into f(x). That is for every x in f(x) replace it with 2

We have

f(2) = 2 - 14

We have the final answer as

Hope this helps you

Here, we are given with a polynomial f(x)

\(f(x) = x - 14\)

And we are asked to find f(2).....?

We can see that, 2 is in place of x. So for finding its value, we need to substitute 2 in place of x.

Substituting 2 in place of x:

\(f(x) = x - 14\)

\(f(2) = 2 - 14\)

Solving further,

\(f(2) = \boxed{- 12}\)

And, we're done with the value of f(2)

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

f(2) = 10

\(Substitute\ x=2\ into\ f(x)=3x+4\)

\(f(2)=3\times 2+4\)

\(f(2)=6+4\)

\(f(2)=10\)

I hope this helps you

:)

Angles that are vertical are opposite ones that only have one common vertex.

Two sets of vertical angles result from the intersection of two lines.

When two lines intersect, we obtain two linear pairs, which are two angles that make a straight line.

Knowing one of the angles formed when two lines intersect enables us to determine that the vertical angle, which is the angle directly across from it, has the same measurement.

Additionally, we know that the angle next to it, which creates a linear pair, will be added to it (add to 180), allowing us to discover its measure by subtracting it from 180.

Since they are both vertical angles, the remaining missing angle will be the same as this supplementary angle.

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The solution to the system of equation are x=2, y=0, z=6

System of equations are equations that contains unknown variables.

Given the equations

3x+y+2z=8

8y+6z=36

12y+2z=12

From equation 2 and 3

8y+6z=36 * 1

12y+2z=12 * 3

______________

8y+6z=36

36y+6z= 36

Subtract

8y - 36y = 36 - 36

-28y =0

y = 0

Substitute y = 0 into equation 2

8(0)+6z=36

6z = 36

z = 6

From equation 1

3x+y+2z =8

3x + 0 + 2(6) = 8

3x = 8 - 12

3x = 6

x = 2

Hence the solution to the system of equation are x=2, y=0, z=6

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Cylinder, has the least surface area. We are to choose the shape that has the least surface area for the approximate volume desired.

The liquid measurement is the amount of liquid a vessel contains and its measurement in standard units. We also refer to it as the “capacity” or the “volume” of the vessel. Infant milk bottle with measurement markings in milliliter and juice bottle with 1 liter contents.

length × width × height

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'.

In general, the least area for the volume will be provided by a sphere, a "square" cylinder with height equal to diameter, and a cube, in order of increasing area. We are asked to find the area and volume of two rectangular prisms, a cylinder, and a square pyramid. Then, we are to identify the shape with the least surface area. Volume and area formulas will be used for the purpose.

Rectangular Prism

The relevant formulas are

 V = LWH

 A = 2(LW +H(L +W))

for length L, width W, and height H.

a) prism 1

The given dimensions are L = W = 8 in, H = 5 in. Then the volume and area are

 V = (8 in)(8 in)(5 in) = 320 in³

 A = 2((8 in)(8 in) +(5 in)(8 in +8 in)) = 2(64 in² +80 in²) = 288 in²

b) prism 2

The given dimensions are L = 10 in, W = 8 in, H = 4 in. Then the volume and area are ...

 V = (10 in)(8 in)(4 in) = 320 in³

 A = 2((10 in)(8 in) +(4 in)(10 in +8 in)) = 2(80 in² +72 in²) = 304 inch

Cylinder

The relevant formulas are ...

 V = πr²h

 A = 2πr(r +h)

for radius r and height h.

c) The given dimensions are r = 5 in, h = 4 in. Then the volume and area are ...

 V = π(5 in)²(4 in) = 100π in³ ≈ 314 in³

 A = 2π(5 in)(5 in +4 in) = 90π in² ≈ 283 in²

Square Pyramid

The relevant formulas are ...

 V = 1/3s²h

 A = s(s +2H)

for base side dimension s, vertical height h, and slant height H.

d) The given dimensions are s = 10 in, h = 10 in, H = 14 in. Then the volume and area are ...

 V = 1/3(10 in)²(10 in) = 1000/3 in³ ≈ 333 in³

 A = (10 in)(10 in + 2×14 in) = 380 in²

The proposed figures have volume and area (rounded to the nearest unit) as follows:

The proposed cylinder requires the least amount of sheet metal for its construction. It has the least surface area of all of the shape choices offered. For a volume of 320 in³, a cube would have a surface area of 280.7 in². A "square" cylinder would have an area of 260.0 in². A sphere would have an area of 226.2 in². The above areas are somewhat larger because the shapes depart from the ideal aspect ratio.

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3230 Kilograms of the soil supplement are required for the entire Vineyard.

Some units that need to be recalled are as follows:

1 km = 1000 m

1 km^2 = 1000000 m^2

1 km^2 = 247 acres

1 kg = 1000 g

Let's tackle the problem now:

A vineyard has 145 acres of Chardonnay grapes.

145 acres = \(\frac{145}{247}\)× 1 km^2

145 acres = 145/247 km^2

145 acres ~ 0.587 km^2

A particular soil supplement requires 5.50 grams for every square meter of vineyard

1m^2 → 5.50 gram

1 km^2 = 10^6 →5.50 x 10^6 gram

1 km^2 →5.50 x 10^6 x 10^-3 kg

1 km^2 →5.50 x 10^3 kg

145 acres = 145/247 km^2 →145/247 x 5.50 x 10^3 kg

145 acres → 797500/247 kg

145 acres → 3230 kg

It required 797500/247 kg ~ 3230 kg of the soil supplement for the entire Vineyard.

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Answer:

clculator soup

Step-by-step explanation:

Answer:

New dimensions are; Width = 12m and Length = 12m

Step-by-step explanation:

Let length of rectangle be L

Let width be W

Area of rectangle has a formula;

Area = Length x Width = LW

We are given the area = 144 m²

So,

LW = 144 - - - (eq1)

Now, we are told that width is doubled and length is decreased by 12m but area remains the same.

Thus, we have;

Width as 2W and Length as L - 12.

Area = 2W(L - 12)

So,

2W(L - 12) = 144 - - - (eq2)

Equating eq 1 and 2,we have;

LW = 2W(L - 12)

W will cancel out to give;

L = 2(L - 12)

L = 2L - 24

2L - L = 24

L = 24m

From equation 1, LW = 144

Thus; W = 144/L = 144/24

W = 6m

So new design of rectangle now has a dimension of;

Width = 2W = 2 × 6 = 12m

Length = L - 12 = 24 - 12 = 12m

So, new dimensions are; Width = 12m and Length = 12m

Answer:

can yhu see the answer i put?

Step-by-step explanation:

Answer: The answer is (yes)

Step-by-step explanation:I got it correct.

Answer:

D. 10 units

Step-by-step explanation:

Using the distance formula:

d = √(x2 – x1)² + (y2 – y1)²

Plug in the values of the points:

d = √(3 – (-5))² + (-2 – 4)²

d = √(8)² + (-6)²

d = √64 + 36

d = √100

d = 10