helpp with explanation:
a 25 foot telephone pole is to be secured with cable that will extend from the top of the pole to a stake in the ground 20 feet from the base of the pole. if y represents the length of the cable what is the approximate value of y?

The system of equations that models the situation and can be used to get the prices is:

4*t + 7*b = $10

t + b = $4

We know that the variables that we will be using are:

First, we know that Owen spent $10 on 4 pieces of toast and 7 pieces of bacon, so we can write the equation:

4*t + 7*b = $10

And James spent $4 on 1 piece of each, then the other equation is:

t + b = $4

Then the system of equations that models this situation is the one we can make with these two equations:

4*t + 7*b = $10

t + b = $4

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Answer:

70° and 110°

Step-by-step explanation:

If two angles forms a linear pair, this means that the sum of the angles is 180°. If the measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘

Let A be the first angle = x°

Let B be the second angle = (1.4x+12)°

Since they form a linear pair, then

A+B = 180°

x + 1.4x+12 = 180°

2.4x = 180-12

2.4x = 168

x = 168/2.4

x = 70°

The measure of angle A = 70°

The measure if angle B = 1.4x+12

B = 1.4(70)+12

B = 98+12

B = 110°

The measure of both angles are 70° and 110°

Answer:

15

Step-by-step explanation:

y=3x

5(x)x3=15

Answer:

The answer is 15

Step-by-step explanation:

Its a pretty easy pattern just multiply the x value by 3, so 5x3=15

Answer:

Step-by-step explanation:

Given: F(x) = x/ x^2-9

Graph-

graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%2F%28x%5E2-9%29%29

f. Is the function increasing or decreasing in the interval -3<- x <- 3?

Check the graph.

g. As x approaches 3 from the left, what happens to the function values?

Answer: C: initial cost before driving the car.

Step-by-step explanation:

100 is constant and does it change with the number of miles driven. So it is a one time cost and an initial cost.

Answer:

\(1.0 \times {10}^{ - 9} \\ 1.0 \times - 1000000000 \\ = - 1000000000\)

Step-by-step explanation:

RQT=4x-20°+3x+14°=

7x-6°=155°

7x=161°

x=23°

4x-20°=72°=RQS

The angle between the ladder and the ground changes when the bottom of the ladder is 8 ft from the wall is -1/12 radians per second.

Denoting the distance in feet between the wall and the base of the ladder by x and the angle in radians between the ladder and the ground by y, it is noted;

cos(y) = x/10

which implies;

y = arccos(x/10)

Denoting time in seconds by t, it is further noted that;

\(\frac{dx}{dy} = \frac{dy}{dx} \frac{dx}{dt}\)  (chain rule)

Noting (using a standard table of derivatives for convenience)

\(\frac{dy}{dx}= -\frac{1}{\sqrt{1-(0.1x)^2} }(0.1)\) (also by chain rule)

The above equation changes as;

\(\frac{dy}{dx}= -\frac{0.1}{\sqrt{1-0.1x^2} }\)

It is noted from the question that in this particular system;

\(\frac{dx}{dt} = 0.5\)  feet per second

So (denoting the derivative as a function of x)

\(\frac{dy}{dt}(x)=\frac{dy}{dx} \frac{dx}{dt} = - \frac{0.05}{\sqrt{1-0.01x^2} }\)

At last;

\(\frac{dy}{dt}(8)=\frac{dy}{dx} \frac{dx}{dt} = - \frac{0.05}{\sqrt{1-0.01(64)} }\)

         = \(\frac{0.05}{\sqrt{1-0.64} }\)

         = \(\frac{-0.05}{\sqrt{0.36} }\)

         = -5/60

         = -1/12 radians per second

The angle between the ladder and the ground changes when the bottom of the ladder is 8 ft from the wall is -1/12 radians per second.

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Answer:

1) 44 1/8

2) 13 4/5

3) 3 4/5

4) 7 11/15

5) 5

Step-by-step explanation:

Step-by-step explanation:

This is saying " Every number possible thats less than, but not 0" so you show that

a)There are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

a)Set A has m elements and set B has n elements

Firstly determine the number of elements A*B by using the multiplication rule

Number of elements\(=A*B=m*n=mn\)

For each element, \(A*B\) we have two option

First element 2 ways

Second element 2 ways

mn element 2 ways

By using the multiplication rule

\(2*2*2......=2^m^n }\)

Then there are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

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Answer:

on Saturday the students will reach their goal.

explanation:

i hope this helps you!

The perimeter of the smaller square is 12 units.

The area of a square is equal to the side length of the square squared. Therefore, the difference in area between two squares is equal to the difference in the side lengths of the squares squared. Since the difference in area between the two squares is 100 square units and the side lengths of the squares differ by 1 unit, we can set up the equation (x + 1)^2 - x^2 = 100, where x is the side length of the smaller square.

Expanding the right side of the equation and solving for x, we find that x = 3. The perimeter of a square is equal to the side length multiplied by 4, so the perimeter of the smaller square is 3 * 4 = 12 units.

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Answer:

(11x+1)(2x+1)

Answer:

m∠1 = m∠3 = m∠5 = m∠7 = m∠9 = m∠11 = 76°

m∠2 = m∠4 = m∠6 = m∠8 = m∠10 = m∠12 = 104°

Step-by-step explanation:

Vertical angles are congruent.  When lines are parallel, corresponding angles are congruent.

m∠1 = m∠3 = m∠5 = m∠7 = m∠9 = m∠11 = 76°

m∠2 = m∠4 = m∠6 = m∠8 = m∠10 = m∠12 = 180 - 76° = 104°

Angles themselves cannot be parallel or not parallel to each other. Parallel lines are the ones that never intersect and always maintain the same distance between each other. However, angles can be congruent or supplementary to each other.

If you are referring to two lines with angles formed by a transversal, you can determine if the angles are congruent by comparing their measurements.

Angles themselves cannot be parallel or not parallel to each other. Parallel lines are the ones that never intersect and always maintain the same distance between each other. However, angles can be congruent or supplementary to each other.

If you are referring to two lines with angles formed by a transversal, you can determine if the angles are congruent by comparing their measurements. Two angles are congruent if they have the same measure. This can be proven using various angle relationships and properties, such as vertical angles, corresponding angles, alternate interior angles, alternate exterior angles, etc. These relationships are based on the properties of parallel lines and transversals.

If you want to determine if two angles are supplementary (their measures add up to 180 degrees), you can add the measures of the angles and check if the sum is equal to 180 degrees.

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Answer:

D. 115

Step-by-step explanation:

because if Angle 6 is 115 then so is Angle is 4 due to AIA (alternate Interior Angles)

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Initial number of bales of hay = 1041 bales

After stacking more bales in the barn:

Total number of bales after stacking = 2,358 bales

Equation for scenario b

Initial bales + added bales = total number of bales after stacking

Let added bales = b

1,041 + b = 2,357

Added bales = Newly stacked bales:

1041 + b = 2,357

b = 2357 - 1041

b = 1,316

The stacked bales of hay stacked to join the initial is. 1,316 bales

Answer:I have now idea how to do this I only nine

Step-by-step explanation: IDK

Answer:

6 eggs for a 15 person cake.

Step-by-step explanation:

The cake recipe for 5 people requires 2 eggs.

You are solving for the amount of eggs for 15 people.

Divide 15 with 5: 15/5 = 3

The prompt multiplied 3 to the people to get the required amount. Do the same with the eggs:

2 x 3 = 6

6 eggs is needed.

\(\frac{5 people}{2 eggs} * \frac{3}{3} = \frac{15 people}{ 6 eggs}\)

Answer:

Step-by-step explanation:

c - 1.2d + 6.7

Answer:

18

Step-by-step explanation:

The ~ indicates that ∠ABC is similar to ∠QRS. In other words, their proportions are the same, even if their size is different.

So AB has the same proportions as QR. 4 can be multiplied by 2.25 to get to 9. So multiply 8 by 2.25 to get n.

8 * 2.25 = 18 so n = 18

Solution of the equation 6∧²ˣ+2.6∧³ˣ=1x

here;

2x+3x = 1x

5x = 1 x

x= -1 / 5

By isolating the variable on one side, the equation with one variable may be solved.

A linear equation in one variable is one that contains just one variable of order 1. It has the formula axe + b = 0, where x is a variable.

There is just one solution to this equation. Here are a few examples:

3x = 1\s22x-1=0

4x+9=-11

Linear Equations in One Variable Standard Form

The conventional form of a linear equation in one variable is:

Where, axe + b = 0,

The letters 'a' and 'b' are genuine numerals.

'a' and 'b' are both greater than zero.

Thus, the linear equation formula in one variable is axe + b = 0.

Linear Equations in a Single Variable

The procedures below are used to solve an equation with only one variable.

Step 1: Using LCM, clear the fractions if necessary.

any.

Step 2: Reduce the complexity of both sides of the equation.

Step 3: Identify the variable.

Step 4: Double-check your solution.

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Answer: (0,0)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

you need to match up the sides, heres a drawing it doesnt have work on it but I just looked at the sides while reading the choices and the ones that matched up to the correct sides was D

Answer:

D when you draw the triangles, those sides would be similar.

Answer:

A) coral reefs provide unique habitats for fish

Step-by-step explanation:

Coral bleaching can be hazardous to some fish species because

A) coral reefs provide unique habitats for fish

B) decomposition of corals can lead to ocean acidification

C) the dead corals attract predators that feed on the fish

D) the corals are the primary source of O2O2 in ocean water

Solution:

Coral bleaching is process in which corals are stressed as a result of changes temperature, light, or nutrients causing them to turn completely white. Coral reefs are is a very diverse ecosystems with ecological and economic value.

Coral reefs are a very important habitat for the fishes providing home to about 25% of fishes. The coral reefs are used for shelter during the day, and as a hunting ground by night.

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Given

Find

Rewrite in the form of

Explanation

Here , we use the identity

so , the given function becomes

Final Answer

Therefore , the new function is

Based on the given information, we know that the medium-sized jet has a fuselage diameter of 3.8 meters and a loaded mass of 85,000 kilograms. The drag on the airplane is primarily due to the cylindrical shape of the fuselage, and its aerodynamic shaping gives it a drag coefficient of 0.37.

To calculate the drag force on the airplane, we can use the formula:

Drag Force = 1/2 x Density x Velocity^2 x Surface Area x Drag Coefficient

The surface area of a cylinder is given by:

Surface Area = 2 x π x (diameter/2) x length

Assuming a length of 30 meters for the fuselage, we can calculate the surface area as:

Surface Area = 2 x π x (3.8/2) x 30 = 426.43 square meters

Using the given drag coefficient of 0.37 and assuming a cruising speed of 800 km/h (or 222.22 m/s), we can calculate the drag force as:

Drag Force = 1/2 x 1.225 kg/m^3 x (222.22 m/s)^2 x 426.43 m^2 x 0.37
Drag Force = 5,641,613 Newtons

Therefore, the drag force on the medium-sized jet is approximately 5.64 million Newtons. This drag force must be overcome by the jet's engines to maintain its cruising speed.

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Answer:

Total Pieces Sold=60

Pieces contributed by the cafeteria=20

Pieces contributed by the clubs=x

We can solve this problem by creating an equation to relate these terms:

Total Pieces Sold= (pieces contributed by the cafeteria) + (pieces contributed by the clubs)

Our equation is therefore: 60=20+x. We solve for x:

60-20=x

40=x

This means the clubs contributed 40 pieces. To find out how many pies that equals, we can use the relationship:

(40 pieces)/(y pies) = (5 pieces)/(1 pie). Solve for y:

(1)(40)=(5)(x)

(40/5)=x

8=x

So The clubs contribute 8 pies.

Step-by-step explanation: Hope this helped you!