Okay for real, does anyone know 10.8 x 9?

Step-by-step explanation:

2 squared plus 2 =5

5+2x =7x

7x-3 = 4x

Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

Therefore, the open box with the largest volume has a length  of \(20” - 2(4”) = 12”\), and a height of 4”. The volume of the resulting box is 0 x 12 x 4 = 0 cubic inches.

The resulting box with the largest volume can be created by cutting out 4 squares with the same dimensions from each corner of the 8-inch by 20-inch cardboard. After cutting the squares, the sides can be bent up to form an open box. The dimensions of the box with the largest volume can be calculated using the formula for the volume of a rectangular prism, \(V = L x W x H.\)

In this case, L = 8” - 2x, W = 20” - 2x, and H = x, where x is the length of each side of the square cut from each corner. The volume of the resulting box will be maximized when x is the greatest value that still produces a box with the given dimensions. Solving the equation, 8” - 2x = x, yields x = 4”.

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Answer:

jhevtxhbdbhvyuhdu gcydquyxoi kuhjygux yvbuewhd gyufetygheiw

penis ahahah joke

also she did 90

Answer:

A) x > 28  B) Yes

Step-by-step explanation:

A)   35 ÷ 1.25 = 28

So for the monthly pass to be a better deal, you would need to ride it more than 28 times.  So x > 28.

B)  Yes.  Without the monthly pass, then cost of riding the subway 45 times would be 45 x 1.25 = $56.25.  As 56.25 > 35 it is more cost effective to buy the monthly pass.

Answer:

b. yes u should refer taking the monthly pass, rather than paying every day $ 1.25

Step-by-step explanation:

1.25×45= 56.25$ SPENDED LIKE THAT

35$×1 MONTH gives u 35 dollars to spend the money

Answer:

455

Step-by-step explanation:

295-x=-160

-x=-160-295

-x=-455

x=455

Answer:

A is the correct answer

Step-by-step explanation:

If you plug y=x+10 in for the Y variable you just have to solve by multiplying.

1.) It should look like this:

2x + 3(x +10) = 40

2.) You will distribute the three which will make the equation look like this:

2x + 3x + 30 = 40

3.) Add like terms. Then subtract 30 from both sides. Then divide 5 by both sides to get the variable x alone.

Hope that helps

A is the correct answer is the correcta answer

If you plug y=x+10 in for the Y variable you just have to solve by multiplying.

1.) It should look like this:

2x + 3(x +10) = 40

2.) You will distribute the three which will make the equation look like this:

2x + 3x + 30 = 40

3.) Add like terms. Then subtract 30 from both sides. Then divide 5 by both sides to get the variable x alone.

Answer: 4

Step-by-step explanation:

To find the spectrum of the signal x(t) = sin(2t) + sin(3t) using MATLAB's fft code, you can follow these steps:

1. Define the time range and sampling frequency: You need to specify the time range over which you want to analyze the signal and the sampling frequency. Let's say you want to analyze the signal from t = 0 to t = T with a sampling frequency of Fs.

2. Generate the time vector: Create a time vector that spans the desired time range using the sampling frequency. You can use the linspace function in MATLAB to create a vector of equally spaced time points.

3. Generate the signal: Using the time vector, generate the signal x(t) = sin(2t) + sin(3t) by evaluating the expression at each time point.

4. Apply the FFT: Use the fft function in MATLAB to compute the discrete Fourier transform of the signal. The fft function returns a complex-valued vector representing the frequency components of the signal.

5. Compute the frequency axis: Create a frequency axis that corresponds to the FFT output. The frequency axis can be obtained using the fftshift and linspace functions. The fftshift function shifts the zero frequency component to the center of the spectrum.

6. Plot the spectrum: Use the plot function to visualize the spectrum of the signal. Plot the frequency axis against the magnitude of the FFT output.

7. Identify the frequency components: In the plot, you will see peaks corresponding to the frequency components of the signal. The positions of these peaks indicate the frequencies present in the signal. Look for peaks in the spectrum at frequencies around 2 and 3 Hz.

Here is an example MATLAB code snippet that implements the above steps:

```matlab
% Define the time range and sampling frequency
T = 1;              % Time range
Fs = 1000;          % Sampling frequency

% Generate the time vector
t = linspace(0, T, T*Fs+1);

% Generate the signal
x = sin(2*t) + sin(3*t);

% Apply the FFT
X = fft(x);

% Compute the frequency axis
f = linspace(-Fs/2, Fs/2, length(X));

% Plot the spectrum
plot(f, abs(fftshift(X)));
xlabel('Frequency (Hz)');
ylabel('Magnitude');
title('Spectrum of x(t) = sin(2t) + sin(3t)');

% Identify the frequency components
% Look for peaks around 2 and 3 Hz in the plot
```

Make sure to run the code snippet in MATLAB to obtain the spectrum plot. The position of the frequency components will be indicated by the peaks in the plot.

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Answer:

12.37

Step-by-step explanation:

I attached a picture of the work but a few notes on it

1. I did use a calculator for the square root

2. the square root symbol was in the way and a bit distracting  so I had to drop it (temporarily) but to do that I squared both sides but that's kinda optional. and I wrote it on the paper

Answer:

Point-Slope Form

Step-by-step explanation:

Answer:

point-slope

Step-by-step explanation:

The equation of a line in its point-slope form is \(y - y_1 = m(x-x_1)\).

Answer:

see explanation

Step-by-step explanation:

Calculate AC and AB using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = A(1,8) and (x₂, y₂ ) = C(4,2)

AC = \(\sqrt{(4-1)^2+(2-8)^2}\)

      = \(\sqrt{3^2+(-6)^2}\)

       = \(\sqrt{9+36}\)

       = \(\sqrt{45}\) = \(\sqrt{9(5)}\) = 3\(\sqrt{5}\)

Repeat with

(x₁, y₁ ) = A(1, 8) and (x₂, y₂ ) = B(2, 6)

AB = \(\sqrt{(2-1)^2+(6-8)^2}\)

      = \(\sqrt{1^2+(-2)^2}\)

       = \(\sqrt{1+4}\)

       = \(\sqrt{5}\)

So AB = \(\sqrt{5}\) and AC = 3\(\sqrt{5}\)

Thus

AC = 3AB

Answer:

Proven below

Step-by-step explanation:

Distance Between Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

\(d=\sqrt{(w-x)^2+(z-y)^2}\)

Let's calculate the distance AC, where A(1,8) and C(4,2):

\(d_{AC}=\sqrt{(4-1)^2+(2-8)^2}\)

\(d_{AC}=\sqrt{3^2+(-6)^2}\)

\(d_{AC}=\sqrt{9+36}=\sqrt{45}\)

Since 45=9*5:

\(d_{AC}=\sqrt{9*5}=3\sqrt{5}\)

Calculate the distance AB, where A(1,8) and B(2,6)

\(d_{AB}=\sqrt{(2-1)^2+(6-8)^2}\)

\(d_{AB}=\sqrt{1^2+(-2)^2}\)

\(d_{AB}=\sqrt{1+4}=\sqrt{5}\)

It follows that:

\(d_{AC}=3d_{AB}\)

A gas occupies 4.23 l at 2.25 atm. 2.75 L is the volume at 3.46 atm. This can be solved using the concept of Boyle's law.

Boyle's law gives the relationship between pressure and volume of gas.

It states that at constant temperature pressure in inversely proportional to volume.

PV = k

where P - pressure V - volume and k - constant

P₁V₁ = P₂V₂

Given that,

initial pressure (P₁) = 2.25 atm

final pressure (P₂) = 3.46 atm

initial volume (V₁) = 4.23 L

final volume (V₂) = ?

where parameters for the first instance are on the left side and parameters for the second instance are on the right side of the equation

substituting the values in the equation

2.25 atm x 4.23 L = 3.46 atm x V

V = 2.75 L

Thus, the final volume is 2.75 L

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The equal monthly payments for a car costs $22,000 with a down payment of $4,000 based on each scenario are:

Let's discuss each scenario we have.

5. For calculating the amount of each payment, the first thing to do is to find the balance after the down payment is made.

The amount of the down payment is $4,000.

The total cost of the car is $22,000.

Hence the balance is:

Balance = Total cost of the car − Down payment

Balance = $22,000 − $4,000 = $18,000

Now we can calculate the amount of each payment.

The payment is to be made in 48 equal monthly installments.

The interest rate is 12% per year.

We need to convert this into the monthly interest rate by dividing by 12.

Hence:

Monthly interest rate = 12% / 12 = 1% = 0.01

Let x be the amount of each monthly payment. Then the equation that represents the above conditions is given by:

18000=x(1−(1+0.01)−48)/0.01

Using the formula (1−(1+ r/n)−nt) = (1−(1+r)^−n), we can simplify the above equation to:

18000=x(1−(1+0.01)−48)/0.01x

=18000/28.95x

≈621.92

Hence the amount of each equal monthly payment is approximately $621.92.

6. For calculating the amount of each payment, the first thing to do is to find the balance after the down payment is made.

The amount of the down payment is $4,000.

The total cost of the car is $22,000.

Hence the balance is:

Balance = Total cost of the car − Down payment

Balance = $22,000 − $4,000 = $18,000

Now we can calculate the amount of each payment.

The payment is to be made in 60 equal monthly installments.

The interest rate is 12% per year.

We need to convert this into the monthly interest rate by dividing by 12.

Hence:

Monthly interest rate = 12% / 12 = 1% = 0.01

Let x be the amount of each monthly payment.

Then the equation that represents the above conditions is given by: 18000=x(1−(1+0.01)−60)/0.01

Using the formula (1−(1+ r/n)−nt) = (1−(1+r)^−n), we can simplify the above equation to:

18000=x(1−(1+0.01)−60)/0.01x

=18000/35.643x

≈505.01

Hence the amount of each payment is approximately $505.01.

7. For calculating the amount of each payment, the first thing to do is to find the balance after the down payment is made.

The amount of the down payment is $4,000.

The total cost of the car is $22,000.

Hence the balance is:

Balance = Total cost of the car − Down payment

Balance = $22,000 − $4,000 = $18,000

Now we can calculate the amount of each payment.

The payment is to be made in 72 equal monthly installments.

The interest rate is 12% per year.

We need to convert this into the monthly interest rate by dividing by 12.

Hence:

Monthly interest rate = 12% / 12 = 1% = 0.01

Let x be the amount of each monthly payment.

Then the equation that represents the above conditions is given by:

18000=x(1−(1+0.01)−72)/0.01

Using the formula (1−(1+ r/n)−nt) = (1−(1+r)^−n), we can simplify the above equation to:

18000=x(1−(1+0.01)−72)/0.01x

=18000/46.869x

≈383.63

Hence the amount of each payment is approximately $383.63.

8. For calculating the amount of each payment, the first thing to do is to find the balance after the down payment is made.

The amount of the down payment is $4,000.

The total cost of the car is $22,000.

Hence the balance is:

Balance = Total cost of the car − Down payment

Balance = $22,000 − $4,000 = $18,000

Now we can calculate the amount of each payment.

The payment is to be made in 48 equal monthly installments.

The interest rate is 18% per year.

We need to convert this into the monthly interest rate by dividing by 12.

Hence:

Monthly interest rate = 18% / 12 = 1.5% = 0.015

Let x be the amount of each monthly payment.

Then the equation that represents the above conditions is given by:

18000=x(1−(1+0.015)−48)/0.015

Using the formula (1−(1+ r/n)−nt) = (1−(1+r)^−n), we can simplify the above equation to:

18000=x(1−(1+0.015)−48)/0.015x

=18000/25.525x

≈704.26

Hence the amount of each payment is approximately $704.26.

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The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

What is vertical opposite angle ?

When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.

Main body:

1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.

2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.

Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

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The measures of triangle exists 45 45 90 then the length of the hypotenuse is 6√2 units.

Due to the fact that the triangle's legs are always the same length, d = 8. Always on the other side of the right angle is the hypotenuse. The hypotenuse of this triangle, represented by the letter e, is at its base. You must multiply the leg of a 45-45-90 triangle by the square root of two to determine the hypotenuse.

The hypotenuse of a 45°, 45°, and 90° triangle measures about two times the length of a leg.

In the right triangle ABC, AB is equal to AC

AB = AC = 6 units

BC is the hypotenuse

Applying the Pythagorean Theorem

BC² = AB² + AC²

substitute the values in the above equation, we get

BC² = 6² + 6²

Simplifying the above equation, we get

BC² = 72

BC = √72

BC = 6 √2 units

Therefore, the length of the hypotenuse is 6√2 units.

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Answer:

146.43

Step-by-step explanation:

48.81x38=146.43

Answer:

$16.27

Step-by-step explanation:

Since $48.81 is all of the students total, they earned 16.27

Divide $48.81 by all the students (3)

So 48.81/3 is 16.27

Answer:

None of the answer choices show the correct answer.

The actual answer is 140 miles.

Step-by-step explanation:

Since Cooper drove 60 miles per hour for 2 hours, that means that he drove 120 miles for the first 2 hours.

60 * 2 = 120

Cooper then drove for another 30 minutes at a speed of 40 miles per hour.

30 minutes is half of and hour so we need to divide the 40 miles by 2.

40 / 2 = 20

Now we just have to add them together.

120 + 20 = 140

So the answer is 140 miles.

Hope this helps! :)

૮ ・ﻌ・ა

Answer:

3.75 cubic centimeters

Step-by-step explanation:

\( {( \frac{1}{2}) }^{3} \times 2 \times 3 \times 5\)

\( \frac{1}{8} \times 30 = \frac{15}{4} = 3.75\)

Answer:

3 3/4cm^3

Step-by-step explanation:

Answer: 2x-3=10

(x=the number)

Answer:

48

Step-by-step explanation:

Hey there!

\(Answer:\boxed{48}\)

\(Explanation:\)

\(4+?=52\)

To find the missing number, try subtracting 52 by 4.

\(52-4=48\)

Let's see if \(48\) makes it true.

\(4+48=54\)

It is true.

\(\boxed{48}\text{ is the answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

Answer:

The volume of each brick is 72 × 3 × 2 = 432 cubic inches, so 1,250 bricks will have a total volume of 540,000 cubic inches. Each brick costs $0.10/cubic inch, so the total cost of 1,250 bricks is

$0.10 × 540,000 = $54,000.

Answer:

  12.6 inches

Step-by-step explanation:

You want the increase in each dimension necessary to make a 6" by 10" frame have an area that is 7 times as much.

The area of the original frame is ...

  A = LW

  A = (10 in)(6 in) = 60 in²

If each dimension is increased by x inches, the new area will be ...

  A = (x +10)(x +6) = x² +16x +60 . . . . . square inches

We want this to be 7 times the area of 60 square inches:

  x² +16x +60 = 7(60)

Subtracting 60, we get ...

  x² +16x = 360

Completing the square, we have ...

  x² +16x +64 = 424 . . . . . . . add 64

  (x +8)² = ±2√106 ≈ ±20.6

  x = 12.6 . . . . . . . . subtract 8; use only the positive solution

Each dimension must be increased by 12.6 inches to make the area 7 times as large.

Answer:

3

Step-by-step explanation:

Divide 1kg or 1000g by 350 and round up to the next integer. That's it.

Answer:

3 packages

Step-by-step explanation:

350+350=700

700+350=1100

1000 grams=1 kilograms

Answer:

D

Step-by-step explanation:

plato

All the theorems are proved as follows.

A triangle is a polygon with three sides , three vertices and three angles.

1. The Triangle sum Theorem

According to the Triangle Sum Theorem, the sum of a triangle's angles equals 180 degrees.

To create a triangle ABC, starting at point A, move 180 degrees away from A to arrive at point B.

We turn 180 degrees from B to C and 180 degrees from C to return to A, giving a total turn of 360 degrees to arrive to A.

180° - ∠A + 180° - ∠B + 180° - ∠C = 360°

- ∠A - ∠B  - ∠C = 360° - (180°+ 180°+ 180°) = -180°

∠A + ∠B  + ∠C = 180°

(Hence Proved)

2. Isosceles Triangle Theorem

Considering an isosceles triangle ΔABC

with AB = AC, we have by sine rule;

\(\rm \dfrac{sinA}{BC} = \dfrac{sinB}{AC} = \dfrac{sinC}{AB}\\\)

as AB = AC

sin B = sin C

angle B = angle C

3.Converse of the Isosceles theorem

Consider an isosceles triangle ΔABC with ∠B= ∠C, we have by sine rule;

\(\rm \dfrac{sinA}{BC} = \dfrac{sinB}{AC} = \dfrac{sinC}{AB}\\\)

as  ∠B= ∠C ,

AB = AC

4. Midsegment of a triangle theorem

It states that the midsegment of two sides of a triangle is equal to (1/2)of the third side parallel to it.

Given triangle ABC with midsegment at D and F of AB and AC respectively, DF is parallel to BC

In ΔABC and ΔADF

∠A ≅ ∠A

BA = 2 × DA, BC = 2 × FA

Hence;

ΔABC ~ ΔADF (SAS similarity)

BA/DA = BC/FA = DF/AC = 2

Hence AC = 2×DF

5.Concurrency of Medians Theorem

A median of a triangle is a segment whose end points are on vertex of the triangle and the middle point of the side ,the medians of a triangle are concurrent and  the point of intersection is inside the triangle known as Centroid .

Consider a triangle ABC , X,Y and Z are the midpoints of the sides

Since the medians bisect the segment AB into AZ + ZB

BC into BX + XB

AC into AY + YC

Where:

AZ = ZB

BX = XB

AY = YC

AZ/ZB = BX/XB = AY/YC = 1

AZ/ZB × BX/XB × AY/YC = 1 and

the median segments AX, BY, and CZ are concurrent (meet at point within the triangle).

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Answer:

The most likely result is that there will be no winners in the stadium.

Step-by-step explanation:

The odds of winning are 1 in 1 million, which means that there is a 99.9999% chance that any given person will not win. If there are 100,000 people in attendance at the game, then the expected number of winners is 0.1.

Answer:

✔️Ratio of weight to mass in simplest form: 49/5 or 49 : 5

✔️x = 110

Step-by-step explanation:

Since the ratio of weight to mass is constant, therefore we can use any pair of values from the table to find the ratio that represents the table. Let's pick the first row:

(20, 196)

Ratio of weight to mass = 196 : 20

= 196/20

= 49/5

Or 49 : 5

✔️Let's use this ratio/proportion to find x in the table

Ratio of weight to mass = 49:5

Thus:

1078/x = 49/5

Cross multiply

x*49 = 1078*5

49x = 5,390

x = 5,390/49

x = 110

We have to construct a triangle DEF with EF = 7 cm. It is given that we have to make an angle of 50⁰ at E and at F.

Steps to make a triangle DEF:

Step 1: Draw a line segment EF equal to 7 cm, using a ruler.

Step 2: Put the center of the protractor on the one end of the line segment that is at E and make the given angle that is 50⁰.

Step 3: Make the angle of 50⁰ at F by using protractor.

Step 4: Extend the line from E and F in the direction of 50⁰. After extending the line segments, we get an intersection point, name that point D..

Step 5: The point D, is made from the intersection of the line segment from E and F.

Step 6: Hence, triangle DEF is constructed.

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The relative error is approximately (26.545 / 2821.02) * 100 ≈ 0.94%, indicating a relative error of approximately 0.94% in the calculated surface area of the sphere due to the maximum error in the measured circumference.

The formula for the circumference of a sphere is given by C = 2πr, where C is the circumference and r is the radius. In this case, the measured circumference is 84 cm, so we have 84 = 2πr. Solving for r, we find r = 84 / (2π) ≈ 13.369 cm.

To estimate the maximum error in the calculated surface area, we can use linear approximation. The surface area of a sphere is given by A = 4πr^2. Taking the derivative of this formula with respect to r, we get dA/dr = 8πr.

Using the linear approximation formula ΔA ≈ (dA/dr) Δr, where ΔA is the change in surface area and Δr is the change in radius, we can estimate the maximum error in the calculated surface area. In this case, the possible error in the circumference is 0.5 cm, which translates to a possible error in the radius of Δr ≈ 0.5 / (2π) ≈ 0.0796 cm.

Substituting the values into the linear approximation formula, we have ΔA ≈ (8πr) Δr ≈ (8π)(13.369)(0.0796) ≈ 26.545 cm² as the estimate for the maximum error in the calculated surface area.

To estimate the relative error in the calculated surface area, we divide the maximum error (26.545 cm²) by the actual surface area (4πr²) and multiply by 100 to express it as a percentage. The actual surface area is A = 4π(13.369)^2 ≈ 2821.02 cm². Thus, the relative error is approximately (26.545 / 2821.02) * 100 ≈ 0.94%, indicating a relative error of approximately 0.94% in the calculated surface area of the sphere due to the maximum error in the measured circumference.

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