Nora leans a 24-foot ladder against a wall so that it forms an angle of 76° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.

is this a real question cause the awnser is fire

A possible first step Vivi could take is multiply each term in the second equation by 2 and she can also multiply each term in the second equation by 4. The correct option is d. Both a and c could work.

From the question, we are to determine the statement that correctly describes a possible first step Vivi could take

From the given information,

The given system of equations is

4x + 6y = -14

-x + 3y = -10

To eliminate y, we can multiply each term in the second equation by 2 and then subtract

2 × [-x + 3y = -10

-2x + 6y = -20

Then, subtract

4x + 6y = -14

-{ -2x + 6y = -20

------------------------

6x = 6

To eliminate x, we can multiply each term in the second equation by 4 and add the equations,

4 × [-x + 3y = -10

-4x + 12y = -40

Then, add

4x + 6y = -14

+{ -4x + 12y = -40

--------------------

18y = -54

Hence, we can multiply each term in the second equation by 2 and we can also multiply each term in the second equation by 4.

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Answer:

11m+5n

Step-by-step explanation:

you just add the m and or n with the numbers

Answer:

$1236

Step-by-step explanation:

3%=1.03 as a decimal multiplier

1200 x 1.03 = $1236

Answer:

C or D

Step-by-step explanation:

c and d look the same? but they're both right. If x is the unknown number you want to add 33 to get a number that is 33 more. A would result in a number 33 less than the unknown number and b would result in a number 33 times the size of the unknown number

Answer:

Step-by-step explanation:

look it up

\(12x + 3 - 4x + 7 \\ 12x - 4x + 3 + 7 \\ 8x + 10 \\ \\ \\ 8 - 7x - 13 + 2x \\ 8 - 13 - 7x + 2x \\ - 21 - 5x \\ - 5x - 21 \\ \\ \\ - 3x - 18 + 5x - 2 \\ - 3x + 5x - 18 - 2 \\ 2x - 20\)

PLEASE GIVE BRAINLIEST

Answer:

1) 8x+10

2) -5x-6

3) 2x-20

Step-by-step explanation:

We are given:

12x+3-4x+7

rearrange like terms

12x-4x+3+7

simplify

8x+10

We are given:

8-7x-13+2x

rearrange like terms

-7x+2x+8-14

simplify

-5x-6

We are given:

-3x-18+5x-2

rearrange like terms

-3x+5x-18-2

simplify

2x-20

Hope this helps! :)

Answer:

Why your question is not visible

Your photo is black screen

Step-by-step explanation:

Please Mark me brainliest

The solution to the system of equations will be;

⇒ (2, 0)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The first equation is,

y = - 2x + 4

And, A line goes through (0, 4) and (2, 0).

Now,

For the second linear equation;

The coordinates are,

(-4, -3) (0, -1) , (2, 0) , (6, 2)

Hence, The equation of line passes through the points (-4, -3) and (0, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - (-3)) / (0 - (-4))

m = 2 / 4

m = 1/2

Thus, The equation of line with slope 1/2 is,

⇒ y - (-3)= 1/2 (x - (-4))

⇒ y + 3 = 1/2 (x + 4)

⇒ y = 1/2x + 2 - 3

⇒ y = 1/2x - 1

Now, We find the value of system of equations;

y = - 2x + 4

y = 1/2x - 1

Solve both above equation, we get;

1/2x - 1 = - 2x + 4

1/2x + 2x = 4 + 1

5/2x = 5

x = 2

And, y = 1/2 (2) - 1 = 0

Thus, The solution to the system of equations will be;

⇒ (2, 0)

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation actually looks like this

\(V=P(1-r)^t\) and filling in the info given:

\(V=25,000(1-.2)^{4.5\) which simplifies to

\(V=25,000(.8)^{4.5\)

Orders of operation tells us that we need to take care of the exponential stuff first, so

V = 25,000(.3663573) and

V = $9158.93 which rounds to what is shown as the second choice down: $9,159.

Answer:

B

Step-by-step explanation:

$9159  

Answer:

\(a+b+c=9+8+6=23\)

Step-by-step explanation:

Let’s first simplify our expression. We have:

\(\displaystyle {\sqrt2+\frac{1}{\sqrt2}+\sqrt3+\frac{1}{\sqrt{3}}\)

For the second term, multiply both the numerator and denominator by √2. This yields:

\(\displaystyle \frac{1}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}\)

Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:

\(\displaystyle\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}\)

Hence, our expression is now:

\(\displaystyle =\sqrt{2}+\frac{\sqrt{2}}{2}+\sqrt{3}+\frac{\sqrt{3}}{3}\)

Let’s combine them. First, we will need common denominators.

Our denominators are 2 and 3. So, our common denominator will be its LCM.

The LCM of 2 and 3 is 6.

Hence, let’s make each term’s denominator 6.

For the first term, we can multiply both layers by 6. Hence:

\(\displaystyle \sqrt{2}=\frac{6\sqrt{2}}{6}\)

For the second term, we can multiply both layers by 3. Hence:

\(\displaystyle \frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{6}\)

For the third term, we can multiply both layers by 6. Hence:

\(\displaystyle \sqrt{3}=\frac{6\sqrt{3}}{6}\)

And for the last term, we can multiply both layers by 2. Hence:

\(\displaystyle \frac{\sqrt{3}}{3}=\frac{2\sqrt{3}}{6}\)

So, our expression is:

\(\displaystyle =\frac{6\sqrt{2}}{6}+\frac{3\sqrt{2}}{6}+\frac{6\sqrt{3}}{6}+\frac{2\sqrt{3}}{6}\)

Add:

\(\displaystyle =\frac{6\sqrt{2}+3\sqrt{2}+6\sqrt{3}+2\sqrt{3}}{6}\)

Combine like terms:

\(\displaystyle=\frac{9\sqrt{2}+8\sqrt{3}}{6}\)

This cannot be simplified. So, c is as small as possible.

Hence: a=9, b=8, and c=6.

Therefore:

\(a+b+c=9+8+6=23\)

Answer:

D. 2200 ft.lb/s

Explanation:

First, recall the standard conversion between horsepower and foot-pounds per second.

Therefore:

The correct choice is D.

Answer: last one

Step-by-step explanation:

the first two make a positive product, then multiplying by a negative gives a negative

Answer:

y=4 x= undefined

Step-by-step explanation:

Answer:

red and green line are zero  blue and yellow are undefined

Step-by-step explanation:

The gravitational force between the satellite and planet can be defined as: F = (G x m1 x m2) / r^2

Where:

F is the gravitational force between the satellite and planet

G is the gravitational constant

m1 is the mass of the planet

m2 is the mass of the satellite

r is the distance between the center of mass of the planet and the satellite.

Since the satellite moves in a circular orbit, its centripetal force is given by:

Fc = m2 x v^2 / r

Where:

Fc is the centripetal force acting on the satellite

v is the velocity of the satellite

r is the radius of the circular orbit.

At the point where the escape velocity is reached, the kinetic energy of the satellite is equal to the potential energy. This expression can be written as:

(1/2 x m2 x vesc^2) - (G x m1 x m2) / r  = 0

Where:

vesc is the escape velocity of the satellite.

Equating the above two expressions for Fc and F, we get:

m2 x v^2 / r = (G x m1 x m2) / r^2

Simplifying the above equation, we get:

v^2 = (G x m1) / r

Taking the square root of both sides, we get:

v = sqrt(G x m1 / r)

This is the expression for the orbital velocity of the satellite.

To find the escape velocity, we set v = vesc in the above equation:

vesc = sqrt(2 x G x m1 / r)

This is the expression for the escape velocity of the satellite.

Kepler's law of planetary motion states that:

The orbit of a planet around the Sun is an ellipse with the Sun at one focus.

The line joining the planet and the Sun sweeps out equal areas in equal intervals of time.

The square of the orbital period of a planet is proportional to the cube of its average distance from the Sun.

These laws apply not only to planets around the Sun but also to satellites around planets.

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Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from angle x, we know the opposite side and the adjacent side. Therefore, we should use the tangent function to solve.

tan(x) = 8/10

x = tan^-1(8/10)

x = 38.7 degrees

Hope this helps!

Answer: Yes, 59 is a prime number

Step-by-step explanation: 59 is a prime number, it has only two factors, such as one and the number itself. Hence, the factors of 59 are 1 and 59.

Yes, 59 is a prime number.

What is a prime number?

Any natural number greater than 1 that is not the sum of two smaller natural numbers is referred to as a prime number. A composite number is a natural number greater than one that is not prime.

In other terms, prime numbers are positive integers greater than one that only has the number itself and 1 as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are just a few examples. Never forget that 1 is neither a prime number nor a composite. Apart from 1, the other numbers can all be categorised as prime and composite numbers. Except for 2, which is the smallest prime number and the only even prime number, all prime numbers are odd.

The number in question, which is 59,  has only two factors: 1 and 59.

Therefore 59 is a prime number.

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Answer:

$42 for 8 tickets

Step-by-step explanation:

To tell which is the better deal you need to find out how much each ticket costs per scenario

$18 for 3 tickets you will need to do 18/3 which will give you $6 a ticket

$42 for 8 tickets you will need to do 42/8 which will give you $5.25 a ticket

$42 option is cheaper per ticket so it is therefore the better option.

Amount required at the end of every three months = $275

Rate of interest = 5.5%

compounded quarterly Time = 5 years

= 20 quarters The amount required to be deposited at the beginning of the 5-year period (P) Interest on the amount received every quarter for 5 years (I) Let the amount to be deposited at the beginning of the 5-year period be P. Then, the amount available after 5 years would be P' and can be calculated as;

A = P(1 + r/n)^(nt) Where A is the amount available after t years, P is the principal or initial investment, r is the interest rate, n is the number of times interest is compounded per year, t is the time period

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

= P(1 + 0.055/4)^(4 x 5)

= P(1 + 0.01375)^(20)P'

= P x 1.9273 Since $275 is required at the end of every three months, then the total amount required at the end of 5 years is; Amount required at the end of every quarter

= $275/3

= $91.67

Total amount required after 20 quarters = $91.67 x 20

= $1833.4P'

= $1833.4P'

= P x 1.9273P

= $1833.4/1.9273P

= $952.14 Therefore, the deposit at the beginning of the 5-year period is $952.14(b) The amount available after 3 months would be;

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

= $952.14(1 + 0.055/4)^(4 x 1/3)

= $952.14(1.01375)^(4/3)A

= $988.33

The interest for the first quarter = $988.33 - $952.14

= $36.19 Similarly,

the amount available after the second quarter would be; A = P(1 + r/n)^(nt)A

= $988.33(1 + 0.055/4)^(4 x 1/3)

= $988.33(1.01375)^(4/3)A

= $1025.38

The interest for the second quarter = $1025.38 - $988.33

= $37.05 And so on...We need to calculate the interest for all 20 quarters using the above method.

Interest for all 20 quarters = $36.19 + $37.05 + $37.92 + $38.79 + $39.67 + $40.57 + $41.47 + $42.39 + $43.32 + $44.26 + $45.21 + $46.17 + $47.15 + $48.14 + $49.14 + $50.15 + $51.17 + $52.21 + $53.26 + $54.32

Interest for all 20 quarters = $900.78The interest for 5 years is $900.78Therefore, the amount of what you receive that will be interest is $5.

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Answer:

yes u are correct

Step-by-step explanation:

x2+16=8x

16=6x

16/6=x

x=2.6666666 or 2/3

The direction of the steepest descent, which is used to find the minimum value of a function.

The necessary and sufficient condition that Aθ-b = 0 has a unique solution is: A is invertible.What is computing?Computing is a part of computer science that focuses on computer programs, including their software and hardware. It is concerned with designing algorithms to solve problems and creating software that will run these algorithms. As a result, computing is a field of study that is concerned with the process of creating algorithms and software.InvertibleAn invertible matrix is a matrix in which the determinant is not zero. An invertible matrix is also referred to as a non-singular matrix. An invertible matrix has a unique inverse. The rank of an invertible matrix is equal to its dimension. An invertible matrix can be used to solve a system of linear equations.GradientA gradient is a vector field in which the direction of the vector points to the steepest increase in a function, and the magnitude of the vector is the rate of increase in that direction. The gradient of a function is a vector field that is a derivative of the function. The gradient is used in multivariable calculus to solve optimization problems. The gradient is used to find the direction of the steepest ascent, which is used to find a maximum value of a function. It is used to find the direction of the steepest descent, which is used to find the minimum value of a function.

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A rotation which occurred using the origin as the center of rotation is a rotation of 90° clockwise.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise to the coordinate of triangle GHJ in order to determine the coordinate of the vertices H' of the image, triangle G’H’J’;

(x, y)                               →            (y, -x)

Coordinate H = (3, 3) → H' = (3, -(3)) = H' (3, -3)

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Step-by-step explanation:

(-8×2.5×2×1×6) ×(-20×2.5×1)

(-20×16) ×(-50)

-320×-50

=1600

Answer:

The answer is D

Step-by-step explanation:

Answer:

i ) $96120

ii ) Singular adult fee in 2012: $186.91

Step-by-step explanation:

( i )

To find the costs of all 560 peoples you:

Multiply the amount of people by the fee,

440 × 198 = $87120

120 × 120 = $9000

Add these go get the sum of member fees: $96120

( ii )

First calculate what 1% of the adult fee would be:

198 ÷ 100 = 1.98 = 1%

Then calculate what 0.1% of the fee:

1.98  ÷ 10 = 0.198 = 0.1%

Now multiply 5 by the value of 1% to get 5% :

5 × 1.98 = 9.9

Then multiply 6 by the  0.1% to get 0.6% :

0.198 × 6 = 1.188

Add these numbers together to get:

1.188 + 9.9 = $11.088 = 5.6%

Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)

$11.09

We now subtract this from the 2013 fee to find out the 2012 fee

$198 - $11.09 = $186.91

$186.91 was the cost of a singular adult fee in 2012

The surface area of the baseball is 176.6 cm² b.

To find the surface area of the baseball:

  r=3.75

\(A=4\pi r^{2}\)

\(A=4*\pi *3.75^{2}\)

A=176.6 cm² b.

The surface area of the baseball is 176.6 cm² b.

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Answer:

10 people

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer: 2.5, 5.4

Step-by-step explanation:

\(-16t^2 +126t=213\\ \\ 16t^2 -126t+213=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4\)

Answer:

\(let \: that \: be \: \: x \\ 20\% \: of \: x \: is \: 6 \\ \frac{20}{100} \times x = 6 \\ 20x = 600 \\ x = 30\)

30

20 percent (calculated percentage %) of what number equals 6? Answer: 30.