Which is an equation of the line through the origin and (3,4)? Please help
A. y = 4/3x
B. y = 3/4x
C. y = 4x
D. y = 3x

SOLUTION

We want to identify the equation that represents the data in the table.

Let's put the first values for x and y from the table, that is x = -2 and y = 11 and see if it works for the first option

This becomes

Since we didn't get y = 11, but we got y = 3, then the first option is wrong.

Let's try the next one

This becomes

So, we got y = 11, this option should be the correct answer, but let us confirm with the next values of x and y which are (0, 5).

So we will put x = 0, if we get y = 5, then the option is correct, so

Since we got y = 5, this option is correct.

Hence, the answer is the 2nd option.

Step-by-step explanation:

Given:

Sleep hour = 7.5 hr

Assume;

School hour = 6 hr

Homework = 2.5 hr

Eating and playing = 5 hr

Free time = 3 hr

Find:

Percent of each school day

Computation:

Sleep hour = 7.5 hr = [7.5/24]100 = 31.25%

School hour = 6 hr = [6/24]100 = 25%

Homework = 2.5 hr = [2.5/24]100 = 10.41%

Eating and playing = 5 hr = [5/24]100 = 20.83%

Free time = 3 hr = [6/24]100 = 12.5%

Explanation

we have the equation of a line, the best way to graph this is:

Step 1

get the slope -intercept form: to do that, isolate y

Step 2

now, to graph we need 2 coordinates from the line:

you can choice any input value, for example.

a) when x= 0

b) when x= 4

Finally, draw a lines that passes through the points (0,3) and (4,1)

I hope this helps you

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer: a) 100

Step-by-step explanation:

Volume (V) of the prism = Length(L) x width(w) x height(h)

V = 7 x 7 x 6.5

   = 318.5 cm³

Next, what is the volume of an M & M? The info isn't given so according to the internet it is 0.636 cm³

\(\text{Quantity}=\dfrac{\text{Volume of the prism}}{\text{Volume of an M}\ \&\ \text{M}}}=\dfrac{318.5}{0.636}=\large\boxed{500}\)

The nearest answer to this is: (a) 100

because the upper limit cannot be 10,000

The standard form of the equation of the line passing through (8,-3) that is parallel to the line 3y=4x+8 is 4x - 3y = 41

The equation of the line in standard form can be represented as follows:

Ax + By = C

where

Therefore, the standard form of the equation of the line through (8,-3) that is parallel to the line 3y = 4x + 8 is a s follows;

Parallel lines have the same slope.

Hence,

3y = 4x + 8

y = 4  / 3 x + 8 / 3

The slope of the line is 4 / 3. Hence, the line passes through (8, -3). let's find the y-intercept.

y = 4 / 3 x + b

-3 = 4 / 3 (8) + b

b = -3 - 32 / 3

b =  -9 - 32/ 3

b = -41 / 3

Hence,

y = 4 / 3 x - 41 / 3

multiply through by 3

3y = 4x - 41

Therefore, the standard form is 4x - 3y = 41

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Answer:

go left for times and go down 7 .

Step-by-step explanation:

Answer:

(-4,7)

Step-by-step explanation:

I hope this helps :)

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

The area of the given figure is 27.5 square centimeter which has a rectangle and triangles

The given figure has a rectangle and triangles

The area of rectangle is length times width

Area of rectangle =5×4

=20 square centimeter

Area of triangle =1/2×base×height

=1/2×2.5×3

=7.5/2

=3.75 square centimeter

As there are two triangle = 2(3.75)

=7.5 square centimeter

Total area = 7.5+ 20

=27.5 square centimeter

Hence, the area of the given figure is 27.5 square centimeter

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the correct solution is option A: (5 + 1 + 5/6 + 3/4) − 4/7 = (6 + 8/10) − 4/7 = 6 8/10 − 4/7 = (6 − 4) + (8/10 − 7/12) = 2 1/12.

How to solve and what is fraction?

( 5 5 6 + 1 3 4 ) − 4 7 12

First, we need to find the least common denominator of the fractions involved which is 12.

(5 x 12 + 5 + 1 x 12 + 3) / 12 - 4/12

= (60 + 5 + 12 + 9) / 12 - 1/3

= (86 / 12) - (4 / 12)

= (82 / 12)

= 6 10/12

= 6 5/6

Therefore, the correct solution is option A: (5 + 1 + 5/6 + 3/4) − 4/7 = (6 + 8/10) − 4/7 = 6 8/10 − 4/7 = (6 − 4) + (8/10 − 7/12) = 2 1/12.

A fraction represents a part of a whole or a ratio between two quantities. It is expressed as a number over another number, separated by a horizontal or diagonal line called a fraction bar or a vinculum.

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Answer:

300

Step-by-step explanation:

just do 50 times 6 bro

Answer:

10 years old

Step-by-step explanation:

lets break it down:

6 more means +6

four times means *4

so if her son is x years old, she is 4x+6

since we know she's 46, we know that 4x+6=46

now we just solve the equation

4x+6=46

-6 on both sides

4x=40

/4 on both sides

x=10

Answer: m∠ABF = 120°

Concept:

Here, we need to know the idea of the corresponding angle theorem and linear pair postulate.

The corresponding angle theorem states that if a transversal cuts two parallel lines, their corresponding angles are congruent.

The linear pair postulate states that two angles that form a linear pair are supplementary.

Solve:

Given information

m∠ABF = m∠ABF = 2x + 3x

m∠BCH = 3x

Total angle = 180°

Given equation

m∠ABF + m∠BCH = Total Angle

Substitute values into the equation

2x + 4x + 3x = 180

Combine like terms

9x = 180

Divide 9 on both sides

9x / 9 = 180 / 9

x = 20

m∠ABF = 2x + 4x = 2 (20) + 4 (20) = 40 + 80 = 120°

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4^8

Step-by-step explanation:

4^3 * 4^5

We know a^b * a^c = a^(b+c)

4^(3+5)

4^(8)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(4^8\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Simplifying the answer...}}\\\\4^3 * 4 ^ 5\\-----------------\\\text{Recall the exponent rule:}\\\\a^x * a^y = a^{x+y}\\\\\rightarrow 4^3 + 4^5\\\\\rightarrow 4^{3+5}\\\\\rightarrow \boxed{4^8}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

Answer:

0.30

Step-by-step explanation:

Data provided in the question

Uniform density function for a friend = x minutes late

The Friend is at least 21 minutes late

Based on the above information, the probability that the friend is at least 21 minutes late is

\(= \frac{Total\ minutes - minimum\ minutes}{Total\ minutes}\)

\(= \frac{30 - 21}{30}\)

= 0.30

Based on the above formula we can easily find out the probability for the friend who is at least 21 minutes late

The probability of the friend to be at least 21 minutes late for the uniform density function shown in the graph is 0.30.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The graph is attached below shows the uniform density function for a friend who is x minutes late.

The friend is at least 21 minutes late. This means that the friend is 21 minutes late or more than it. 21 or more minutes goes from 21 to 30. Thus, the difference is,

\(d=30-21\\d=9\)

The density of the graph is 1/30. The probability will be equal to the area under the curve.

In this, the length of the rectangle will be 9 and width will be 1/30 for the probability of at least 21 minutes late. The probability is,

\(P=9\times\dfrac{1}{30}\\P=0.30\)

Thus, the probability of the friend to be at least 21 minutes late for the uniform density function shown in the graph is 0.30.

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The area of the rhombus with a base of 18 centimeters and a height of 15.5 centimeters is 139.5 cm² (option c).

To find the area of a rhombus, we can use the formula:

Area = (base * height) / 2.

Given that the base of the rhombus is 18 centimeters and the height is 15.5 centimeters, we can substitute these values into the formula:

Area = (18 cm * 15.5 cm) / 2.

Multiplying the base and height gives us:

Area = (279 cm²) / 2.

Dividing 279 cm² by 2 gives us the final area:

Area = 139.5 cm².

Therefore, the area of the rhombus is 139.5 cm².

Thus, the correct option is c.

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The first option is the correct one for the line y = x - 2:

" coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2)"

Here we want to identify the graph of the linear equation:

y = x - 2

First, notice that when we evaluate this in x = 0 we get the y-intercept:

y = 0 - 2

y = -2

Then the y-intercept there is (0, -2)

Also, evaluating the linear equation in x = -2, then we will get:

y = -2 - 2

y = -4

So we have the point (-2, -4)

Then the correct option is the first one:

" coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2)"

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Answer:

3 1/8 cups of blueberries

Step-by-step explanation:

1 1/4 x 2 1/2 = 5/4 x 5/2 = 25/8 = 3 1/8

Answer: C. 3 to 9

You simply add 1 to each given value (8 and 2)

The ratio 9 to 3 represents the ratio of water to salt, so 3 to 9 is the ratio of salt to water.

Edit: Realized I had the parts mixed up, but the solution has been fixed

The individual response to heat is generally measured by the use of the Wet Bulb Globe Temperature.

The individual response to heat is generally measured by the use of the Wet Bulb Globe Temperature.

It is used to investigate the actual level of heat stress that is atrributable to the exposure of organisms to sunlight. It considers both temperature and humidity.

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The greatest number of bracelets Lauren can make using the black beads and the silver beads is 12.

In order to determine the greatest number of bracelets that can be made, the highest common factor of both numbers have to be determined.

Highest common factor is the highest factor that is common to two or more numbers

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Answer:

Step-by-step explanation:

The relationship is the vertical shift of f(x) 1 unit down.

Correct choice is C

Answer:

The graph of g(x)is the graph of f(x) translated 1 unit down.

Step-by-step explanation:

y' = y - 1

Answer:

225

Step-by-step explanation:

Answer:

34.78%

Step-by-step explanation:

There is 4 trucks and 4 used cars= 8 total vehicles he'll choose. There is a total of 23 vehicles.

8/23= 0.3478... You move the decimal over two places, which gives you 34.78%

Answer:

Our two intersection points are:

\(\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)\)

Step-by-step explanation:

We want to find where the two graphs given by the equations:

\(\displaystyle (x+1)^2+(y+2)^2 = 16\text{ and } 3x+4y=1\)

Intersect.

When they intersect, their x- and y-values are equivalent. So, we can solve one equation for y and substitute it into the other and solve for x.

Since the linear equation is easier to solve, solve it for y:

\(\displaystyle y = -\frac{3}{4} x + \frac{1}{4}\)

Substitute this into the first equation:

\(\displaystyle (x+1)^2 + \left(\left(-\frac{3}{4}x + \frac{1}{4}\right) +2\right)^2 = 16\)

Simplify:

\(\displaystyle (x+1)^2 + \left(-\frac{3}{4} x + \frac{9}{4}\right)^2 = 16\)

Square. We can use the perfect square trinomial pattern:

\(\displaystyle \underbrace{(x^2 + 2x+1)}_{(a+b)^2=a^2+2ab+b^2} + \underbrace{\left(\frac{9}{16}x^2-\frac{27}{8}x+\frac{81}{16}\right)}_{(a+b)^2=a^2+2ab+b^2} = 16\)

Multiply both sides by 16:

\((16x^2+32x+16)+(9x^2-54x+81) = 256\)

Combine like terms:

\(25x^2+-22x+97=256\)

Isolate the equation:

\(\displaystyle 25x^2 - 22x -159=0\)

We can use the quadratic formula:

\(\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

In this case, a = 25, b = -22, and c = -159. Substitute:

\(\displaystyle x = \frac{-(-22)\pm\sqrt{(-22)^2-4(25)(-159)}}{2(25)}\)

Evaluate:

\(\displaystyle \begin{aligned} x &= \frac{22\pm\sqrt{16384}}{50} \\ \\ &= \frac{22\pm 128}{50}\\ \\ &=\frac{11\pm 64}{25}\end{aligned}\)

Hence, our two solutions are:

\(\displaystyle x_1 = \frac{11+64}{25} = 3\text{ and } x_2 = \frac{11-64}{25} =-\frac{53}{25}\)

We have our two x-coordinates.

To find the y-coordinates, we can simply substitute it into the linear equation and evaluate. Thus:

\(\displaystyle y_1 = -\frac{3}{4}(3)+\frac{1}{4} = -2\)

And:

\(\displaystyle y _2 = -\frac{3}{4}\left(-\frac{53}{25}\right) +\frac{1}{4} = \frac{46}{25}\)

Thus, our two intersection points are:

\(\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)\)

The weight of the beaker, including the weight of the water, is approximately 173.1 ounces when rounded to the nearest tenth. To find the weight of the beaker when filled with water, including the weight of the cylindrical beaker itself, we need to calculate the weight of the water and add it to the weight of the empty beaker.

First, let's find the volume of the water in the beaker. The beaker is filled to one inch from the top, which means the height of the water is 11 - 1 = 10 inches.

The volume of the water can be calculated using the formula for the volume of a cylinder: \(V = \pi r^2h\), where r is the radius and h is the height.

\(V = \pi (3^2)(10) = 90\pi\) cubic inches

Next, we need to find the weight of the water. Given that one cubic inch of water weighs 0.6 ounces, we can multiply the volume of the water by 0.6 to get the weight of the water.

Weight of water = 90π x 0.6 = 54π ounces

Finally, we need to add the weight of the empty beaker, which is 3.5 ounces, to the weight of the water.

Weight of beaker with water = 54π + 3.5 ounces

To find the approximate value, we can use the value of π as 3.14.

Weight of beaker with water ≈ 54 x 3.14 + 3.5 ≈ 169.56 + 3.5 ≈ 173.06 ounces

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1) The value of AA is \(\left[\begin{array}{ccc}25&0&0\\0&4&0\\0&0&16\end{array}\right]\). 2) By solving the matrix equation, we got \(\left[\begin{array}{ccc}x_{1} \\y_{2}\\z_{3}\end{array}\right]\) = \(\left[\begin{array}{ccc}-131 \\-1\\7\end{array}\right]\). 3) The value of x and y is -4 and 18

1) A = \(\left[\begin{array}{ccc}-5&0&0\\0&-2&0\\0&0&-4\end{array}\right]\)                

AA =  \(\left[\begin{array}{ccc}-5&0&0\\0&-2&0\\0&0&-4\end{array}\right]\)   \(\left[\begin{array}{ccc}-5&0&0\\0&-2&0\\0&0&-4\end{array}\right]\)  

AA = \(\left[\begin{array}{ccc}(-5)^2&0&0\\0&(-2)^2&0\\0&0&(-4)^2\end{array}\right]\)

AA = \(\left[\begin{array}{ccc}25&0&0\\0&4&0\\0&0&16\end{array}\right]\)

2)We are given            x₁ - 2x₂ + 3x₃ = 24

                                      -x₁ + 3x₂ - x₃ = -11

                                   2x₁ - 5x₂ + 5x₃ = 24

Now, AX = B

\(\left[\begin{array}{ccc}1&-2&3\\-1&3&-1\\2&-5&5\end{array}\right]\) \(\left[\begin{array}{ccc}x_{1} \\y_{2}\\z_{3}\end{array}\right]\) = \(\left[\begin{array}{ccc}24 \\-11\\42\end{array}\right]\)

As, AX = B => X = BA⁻¹      --(1)

Here A⁻¹ = (1/|A|)adjA

Where adjA is Adjoint of matrix A

|A| = 1

AdjA = \(\left[\begin{array}{ccc}10&7&-7\\3&-1&-2\\-1&1&1\end{array}\right]\)

Therefore, A⁻¹ = \(\left[\begin{array}{ccc}10&7&-7\\3&-1&-2\\-1&1&1\end{array}\right]\)

Using (1)

X = \(\left[\begin{array}{ccc}24 \\-11\\42\end{array}\right]\)\(\left[\begin{array}{ccc}10&7&-7\\3&-1&-2\\-1&1&1\end{array}\right]\)

\(\left[\begin{array}{ccc}x_{1} \\y_{2}\\z_{3}\end{array}\right]\) = \(\left[\begin{array}{ccc}24 \\-11\\42\end{array}\right]\)\(\left[\begin{array}{ccc}10&7&-7\\3&-1&-2\\-1&1&1\end{array}\right]\)

\(\left[\begin{array}{ccc}x_{1} \\y_{2}\\z_{3}\end{array}\right]\) = \(\left[\begin{array}{ccc}-131 \\-1\\7\end{array}\right]\)

3)  \(\left[\begin{array}{ccc}x+2&6&-5\\7&2y&2x\\2x+6&6&-5\end{array}\right]\) = \(\left[\begin{array}{ccc}2x+6&6&-5\\7&18&-8\\3&-8&11\end{array}\right]\)

So, x + 2 = 2x + 6

       2x - x = 2 - 6

              x = -4

     2y = 18

       y = 9

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