Pls answer!! I will mark brainliest!

9514 1404 393

Answer:

  y = -3x -1

Step-by-step explanation:

We can write the equation in slope-intercept form if we know the slope and the y-intercept.

The slope is ...

  m = "rise"/"run" = (change in y)/(change in x)

We can see that the line passes through grid intersections at (x, y) = (0, -1) and at (1, -4). Between these two points, the change in y is (-4 -(-1)) = -3, and the change in x is (1 -0) = 1. Then the slope is ...

  m = -3/1 = -3

One of the points we just used is the point where the line crosses the y-axis, at the y-intercept of -1. So, with slope -3 and y-intercept -1, the equation of the line is ...

  y = mx +b . . . . . . slope m and y-intercept b

  y = -3x -1

Answer:

Step-by-step explanation:

Given function

From the table we get the function g(x), use pairs (1, 10) and (3, 14)

The slope:

The y-intercept:

The function g(x) is found as:

The y- intercept of f (x) is subtracted from the y-intercept of g (x):

Answer:

(the answer is • -4)

...

Vector is to scalar as displacement is to distance.

A vector quantity has both magnitude and direction. A scalar quantity has only magnitude and no direction. Displacement is the measure of distance between initial and final points in a particular direction. Distance is length between initial and final points no matter the direction.

here, we have,

Displacement is to distance is as vector is to scalar because displacement is a vector quantity and and distance is scalar version of displacement. Of the other options speed is a scalar quantity and velocity is a vector quantity and none of them arranged in the form of vector is to scalar.

Therefore, Vector is to scalar as displacement is to distance.

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The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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Answer:

D

Step-by-step explanation:

given 2 sides of a triangle then the third side SU is in the interval

difference of 2 known sides < SU < sum of 2 known sides , that is

52 - 39 < SU < 52 + 39

13 < SU < 91

Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

The average deviation from the mean is 0.19 that can be calculated from the mean.

An average is calculated for a set of numbers that are of the same value range.

Mean = (32.52+32.14+32.61+32.75)/4 = %32.50

Standard deviation =

|32.50-32.52| = 0.02

|32.50-32.14| = 0.36

|32.50-32.61| = 0.11

|32.50-32.75| = 0.25

(.02+.36+.11+.25)/4= 0.19

So the standard deviation is 0.19

Relative deviation = .19/32.50=0.0058 or %0.58

Yes, %32.14, because it deviates too far from the average.

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Given:

The number of faces =8.

Required:

We need to find the polyhedron with 8 faces.

Explanation:

Recall that the tetrahedron is a polyhedron composed of four triangular faces

The number of faces in tetrahedron =4.

Recall that the octahedron is a polyhedron with 8 faces.

The number of faces in the octahedron= 8.

Recall that the dodecahedron is a polyhedron with 12 faces.

The number of faces in the dodecahedron = 12.

Recall that the icosahedron is a polyhedron with 20 faces.

The number of faces in icosahedron =20.

Final answer:

octahedron

Step-by-step explanation:

"∠B is 2 more than 3 times the measure of ∠C" translates into B = 3C + 2....(1)

"...∠B and ∠C are complementary angles" translates to B + C = 90...............(2)

Now, all that's left to do is to solve for B and C. So, we'll take equation (1) and substitute it into equation (2) as follows:

(3C + 2) + C = 90

4C + 2 = 90

4C = 88

C = 22

Plugging C = 22 back into either equation (1) or (2) gives us

B = 90 - 22 = 68 (or B = 3(22) + 2 = 68)

Thus, ∠B = 68º; ∠C = 22º

The number of ways we can select a captain and one alternate captain from a team of eleven soccer players is 55

A permutation is an act of putting things or numbers in a particular order. Combinations are a method of selecting objects or numbers from a group of objects or collections without regard for their order.

Given that soccer player = 11

We have to find in many ways we can choose a captain and one alternate captain from a team of eleven soccer players

Out of 11 player, we have to pick one captain and one alternate captain

nCr ways

nCr = n!/r!(n-r)!

Here n = 11 and r = 2

= 11C2

= 11!/2!(11-2)!

= 11! / 2!.9!

= ((11x 10 x 9!)/2!.9!)

= (11 x 10)/2

= 110/2

= 55

Therefore the number of ways we can select a captain and one alternate captain from a team of eleven soccer players is 55

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Answer:

4.19 units^3

Step-by-step explanation:

The volume formula for spheres is \(V = \frac{4}{3} r^3\)

If you plug in the radius which is 1 in this problem you'll get the volume of the sphere.

Answer: 4.19 cu. units

Step-by-step explanation:

Volume of a sphere = 4/3πr^3

= 4/3 x 3.14 x 1^3

= 4/3 x 3.14 x 1

= 4.19 cu. units

Answer: 160 sq. feet

Step-by-step explanation:

Given: Dimension of rectangular pool :

Length =  20 feet

width = 15 feet

Area of rectangular pool = length x width

= 20 feet  × 15 feet

= 300 sq. feet

Now, Length of deck = 20 feet + 4  feet+ 4   feet           (For both sides)

= 28 feet

width of deck = 15 feet + 4  feet+ 4   feet  = 23 feet

Area of deck including pool = 20 feet  ×  23 feet

= 460 sq. feet

Area of deck = (Area of deck including pool ) -(Area of rectangular pool)

= 460 - 300 sq. feet

= 160 sq. feet

Hence, the area of the surface of the deck= 160 sq. feet

Answer:

x = 1

Step-by-step explanation:

subtract 1 from both sides. this leaves you with 5x=5.

Now divide 5 from both sides

this leaves u with a x=1

You need to manipulate the equations to get the same coefficient for one of the variables and then add or subtract the equations to eliminate that variable.

When using the method of elimination to solve the system of equations, the goal is to eliminate one of the variables by adding or subtracting the equations. To do this, you want to choose a coefficient for one of the variables that is the same in both equations, but with opposite signs.

For example, if the system of equations is:

2x + 3y = 7
4x - 5y = -13

You could multiply the first equation by -2 to get:

-4x - 6y = -14

Then, when you add this equation to the second equation, the x variable is eliminated:

-4x - 6y + 4x - 5y = -14 - 13

Simplifying this equation gives you:

-11y = -27

To find the value of y, you would divide both sides by -11:

y = 27/11

To find the value of x, you would substitute this value of y into one of the original equations and solve for x.

As for the specific question of what is the result of adding the two equations together, it depends on the coefficients of the variables in the equations. You need to manipulate the equations to get the same coefficient for one of the variables and then add or subtract the equations to eliminate that variable.

It looks like you didn't provide the system of equations you need help with. Please provide the two equations, and I'll gladly help you with the method of elimination and the result of adding them together.

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The radius of the sphere is approximately 6.7 cm.

We have,

To find the radius of a sphere given its volume, we can use the formula:

Volume = (4/3) π radius³

Given that the volume is 1203 cm³, we can rearrange the formula to solve for the radius:

\(radius = (3 \times Volume / (4 \times \pi))^{1/3}\)

Substituting the given volume, we have:

\(radius = (3 \times 1203 / (4 \times \pi))^{1/3}\)

Calculating this expression, the radius is approximately 6.7 cm (rounded to the nearest tenth of a centimeter).

Thus,

The radius of the sphere is approximately 6.7 cm.

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Answer: No

Step-by-step explanation:

The functions that are exponential are f(x) = 4(1/4)ˣ , g(x) = 14(4)ˣ and k(x) = 6(5.49)ˣ , the options that are correct are (a) , (b) and (e) .

In the question ,

five function are given ,

we need to select the functions that are exponential ,

We know that , Exponential function is a function whose value is a constant raised to power of a variable ,

For Example , f(x) = cˣ, where c is any constant value and x is a variable.

Part(a) ,

f(x) = 4(1/4)ˣ

Since , x is in the exponent , hence it is an exponential function .

Part(b) ,

g(x) = 14(4)ˣ

Since , x is in the exponent , hence it is an exponential function .

Part(c) ,

h(x) = 10x⁵

Since , x is present in the base , hence , it is not an exponential function .

Part(d) ,

j(x) = −9x⁴

Since , x is present in the base , hence ,it is not an exponential function .

Part(e) ,

k(x) = 6(5.49)ˣ

Since , x is in the exponent , hence it is an exponential function .

Therefore , The exponential functions are (a) f(x) = 4(1/4)ˣ  , (b) g(x) = 14(4)ˣ   and  (e) k(x) = 6(5.49)ˣ  .

The given question is incomplete , the complete question is

which of the following are exponential functions? select all correct answers.

(a) f(x) = 4(1/4)ˣ

(b) g(x) = 14(4)ˣ

(c) h(x) = 10x⁵

(d) j(x) = −9x⁴

(e) k(x) = 6(5.49)ˣ

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A dilation with a scale factor of k=1/3 with the center of dilation at the origin will perform the following transformation in any point (x,y):

We have a triangle with vertices U, V and W.

We apply the transformation to these points and get:

Answer: U'=(0,1), V'=(2,2), W'=(2,0)

The right option is Option D.

Answer:

Step-by-step explanation:

There is nothing more to do than read the answers

Answer:

D.

Step-by-step explanation:

The solution has to be in the shaded area in order to be a solution. Only D. is in the shaded region, so that is your correct answer.

Max invested 15.000 at an APR of 5.9% (compound interest). Max's investment will be worth $25,000 approximately after 7.75 years.

To determine when Max's investment will be worth $25,000, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the future value of the investment

P is the principal amount (initial investment)

r is the annual interest rate (as a decimal)

n is the number of times interest is compounded per year

t is the number of years

Given:

P = $15,000

r = 5.9% = 0.059 (expressed as a decimal)

A = $25,000

We need to solve for t. Let's rearrange the formula:

t = (1/n) * log(A/P) / log(1 + r/n)

Since the compounding frequency (n) is not provided, we'll assume it's compounded annually (n = 1). Plugging in the values, we get:

t = (1/1) * log(25,000/15,000) / log(1 + 0.059/1)

Calculating the expression:

t ≈ 7.75 years

Therefore, Max's investment will be worth $25,000 approximately after 7.75 years.

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The differential equation

To solve this initial value problem using Laplace transform, we first need to take the Laplace transform of both sides of the differential equation:

\($$\mathcal{L}\left\{y^{\prime \prime}\right\}-17 \mathcal{L}\left\{y^{\prime}\right\}+72 \mathcal{L}\{y\}=\mathcal{L}\{u(t-1)\}$$\)

Using the properties of Laplace transform, we have

\($$s^2 Y(s)-s y(0)-y^{\prime}(0)-17[s Y(s)-y(0)]+72 Y(s)=\frac{e^{-s}}{s}$$\)

Substituting the initial conditions, we get

\($$s^2 Y(s)-s(0)-1-17[s Y(s)-0]+72 Y(s)=\frac{e^{-s}}{s}$$\)

Simplifying the equation, we get

\($$\begin{aligned}& s^2 Y(s)-17 s Y(s)+72 Y(s)=\frac{e^{-s}}{s}+1 \\& Y(s)\left(s^2-17 s+72\right)=\frac{e^{-s}}{s}+1 \\& Y(s)=\frac{e^{-s}}{s\left(s^2-17 s+72\right)}+\frac{1}{s^2-17 s+72}\end{aligned}$$\)

Now, we need to use partial fraction decomposition to express the first term in terms of simpler fractions:

\($$\frac{e^{-s}}{s\left(s^2-17 s+72\right)}=\frac{A}{s}+\frac{B s+C}{s^2-17 s+72}$$\)

Multiplying both sides by the denominator, we get

\($$e^{-s}=A\left(s^2-17 s+72\right)+s(B s+C)$$\)

Substituting \($\$ s=0 \$$\), we get\($\$ A=1 / 72 \$$\). To find $\$ B \$$ and \($\$ C \$$\), we can equate the coefficients of \($\$$\) s \($\$$\) and \($\$ s^{\wedge} 2 \$$\) on both sides:

\($$\begin{aligned}& -A(17)+B=0 \\& A(72)-B(17)+C=0\end{aligned}$$\)

Substituting the value of \($\$ A \$$\), we get \($\$ \mathrm{~B}=-1 / 12 \$$\) and \($\$ \mathrm{C}=1 / 6 \$$\). Therefore, we can write

\($$\frac{e^{-s}}{s\left(s^2-17 s+72\right)}=\frac{1}{72 s}-\frac{1}{12\left(s^2-17 s+72\right)}+\frac{1}{6} \cdot \frac{1}{s-9}$$\)

Substituting this in the expression for \($Y(s)$\), we get

\(Y(s)=\frac{1}{72 s}-\frac{1}{12\left(s^2-17 s+72\right)}+\frac{1}{6} \cdot \frac{1}{s-9}+\frac{1}{s^2-17 s+72}\)

Using the inverse Laplace transform, we can find the solution to the differential equation:

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Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3

A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.

r = 1 − cosθsin3θ

Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.

The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.

The figure attached shows the bounded region of the two graphs. The red curve is  r=4cos⁡(θ) and the blue curve is r=2.

The points of intersection of the two curves are

θ = π/3 and 5π/3

The area is calculated as follows:

Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.

A = 2 \(\(\int_{0}^{\pi /3}\) ½ (4 cos (θ)² − ½ (2)² dθ

  =  \(\(\int_{0}^{\pi /3}\) 16 cos2 (θ) − 4dθ

  = \(\(\int_{0}^{\pi /3}\) 8 (1+cos(2θ)) − 4dθ

  =\(\(\int_{0}^{\pi /3}\) 4 + 8 cos (2θ) dθ

  = [4θ + 4sin (2θ)] \(\(\int_{0}^{\pi /3}\)

  = 4π/3 + 2√3

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It is expected that 300 participants out of the 900 who participate in the survey would receive a coupon for sleigh rides.

To determine the number of participants expected to receive a coupon for sleigh rides, we need to divide the total number of participants (900) by the number of coupon options (3) since each option has an equal chance of being received.

The expected number of participants receiving a coupon for sleigh rides can be calculated as follows:

Total participants / Number of coupon options = Expected number of participants receiving a sleigh ride coupon

900 participants / 3 coupon options = 300 participants.

Therefore, it is expected that 300 participants out of the 900 who participate in the survey would receive a coupon for sleigh rides.

It's important to note that this calculation assumes an equal chance of receiving each type of coupon and does not consider any specific preferences or biases that participants may have.

The calculation is based on the assumption of a random distribution of coupons among the participants.

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Answer:

Step-by-step explanation:

The answer is D

1.19/7-.17

1.20/8-.15

1.26/9-.14

1.08/6-.18

i think this is it

Answer:

y = 3x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, 6 ) and (x₂, y₂ ) = (- 1, - 6 )

m = \(\frac{-6-6}{-1-3}\) = \(\frac{-12}{-4}\) = 3 , then

y = 3x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (3, 6 )

6 = 3(3) + c = 9 + c ( subtract 9 from both sides )

- 3 = c

y = 3x - 3 ← equation of line

The best answer from the choices provided is b. employers.The friends, neighbors, and teachers do not typically have access to Credit report, employers may request it under specific Circumstances .

Your credit report contains sensitive financial information and is typically accessed by entities that have a legitimate need for it. While friends, neighbors, and teachers do not typically have a legitimate reason to access your credit report, employers may request access as part of their hiring process, especially when evaluating candidates for positions that involve handling financial matters or require a certain level of trust.

Employers may request your credit report to assess your financial responsibility, integrity, and overall suitability for a particular role. However, it's important to note that employers must comply with legal requirements and obtain your consent before accessing your credit report. In some jurisdictions, laws and regulations govern the permissible use of credit reports for employment purposes.

It's crucial to be aware of your rights and protections regarding the access and use of your credit report. In many countries, individuals have the right to review their credit reports, dispute inaccuracies, and request corrections. Additionally, credit reporting agencies are required to follow specific procedures to ensure the security and privacy of your credit information.

while friends, neighbors, and teachers do not typically have access to your credit report, employers may request it under specific circumstances and with your consent.

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Answer:

5 + 20 + 6

Step-by-step explanation:

that's how you get

Answer:

Step-by-step explanation:

Answer:

130/100 H  and (3/10 + 1) H

Step-by-step explanation:

Hope this helps!